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	<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?action=history&amp;feed=atom&amp;title=Filamentation</id>
	<title>Filamentation - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?action=history&amp;feed=atom&amp;title=Filamentation"/>
	<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;action=history"/>
	<updated>2026-05-02T12:33:48Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.41.1</generator>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=3785&amp;oldid=prev</id>
		<title>Lwcamp at 19:00, 7 March 2026</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=3785&amp;oldid=prev"/>
		<updated>2026-03-07T19:00:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:00, 7 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l26&quot;&gt;Line 26:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 26:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Physics &amp;amp; Engineering]][[Category:Physics]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Physics &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp; Engineering]][[Category:Physics &amp;amp; Math &lt;/ins&gt;&amp;amp; Engineering]][[Category:Physics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=3281&amp;oldid=prev</id>
		<title>Lwcamp at 18:22, 12 August 2025</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=3281&amp;oldid=prev"/>
		<updated>2025-08-12T18:22:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:22, 12 August 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Filamentation_Kautz_J_Appl_Phys_130_203302_2021.png|500px|thumb|Laser filament producing plasma for remote sensing&amp;lt;ref&amp;gt;Elizabeth J. Kautz, Mark C. Phillips, and Sivanandan S. Harilal, &quot;Laser-induced fluorescence of filament-produced plasmas&quot;, Journal of Applied Physics 130, 203302 (2021); [https://doi.org/10.1063/5.0065240 doi: 10.1063/5.0065240]&amp;lt;/ref&amp;gt;.]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The laser pulses are saved from catastrophic over-focusing by starting to make a plasma out of the air when their intensity gets too high, which acts to de-focus the beam.  So we have a stable system with feedback - not intense enough?  Then there’s not enough plasma to compensate for the self-focusing and the beam converges.  Too intense?  Then there’s an excess of plasma and the beam spreads out a bit.  This self-focusing lets the beam overcome the diffraction limit.  You end up with an inner core of sparsely ionized plasma surrounded by a sheath of high intensity light.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The laser pulses are saved from catastrophic over-focusing by starting to make a plasma out of the air when their intensity gets too high, which acts to de-focus the beam.  So we have a stable system with feedback - not intense enough?  Then there’s not enough plasma to compensate for the self-focusing and the beam converges.  Too intense?  Then there’s an excess of plasma and the beam spreads out a bit.  This self-focusing lets the beam overcome the diffraction limit.  You end up with an inner core of sparsely ionized plasma surrounded by a sheath of high intensity light.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=2904&amp;oldid=prev</id>
		<title>Tshhmon at 21:33, 23 April 2024</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=2904&amp;oldid=prev"/>
		<updated>2024-04-23T21:33:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:33, 23 April 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l25&quot;&gt;Line 25:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 25:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Physics &amp;amp; Engineering]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Physics &amp;amp; Engineering&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]][[Category:Physics&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tshhmon</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=2903&amp;oldid=prev</id>
		<title>Tshhmon at 21:33, 23 April 2024</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=2903&amp;oldid=prev"/>
		<updated>2024-04-23T21:33:26Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:33, 23 April 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l25&quot;&gt;Line 25:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 25:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]][[Category:Physics &amp;amp; Engineering&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tshhmon</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1861&amp;oldid=prev</id>
		<title>Lwcamp at 22:38, 6 May 2023</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1861&amp;oldid=prev"/>
		<updated>2023-05-06T22:38:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:38, 6 May 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The laser pulses are saved from catastrophic over-focusing by starting to make a plasma out of the air when their intensity gets too high, which acts to de-focus the beam.  So we have a stable system with feedback - not intense enough?  Then there’s not enough plasma to compensate for the self-focusing and the beam converges.  Too intense? &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;then &lt;/del&gt;there’s an excess of plasma and the beam spreads out a bit.  This self-focusing lets the beam overcome the diffraction limit.  You end up with an inner core of sparsely ionized plasma surrounded by a sheath of high intensity light.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The laser pulses are saved from catastrophic over-focusing by starting to make a plasma out of the air when their intensity gets too high, which acts to de-focus the beam.  So we have a stable system with feedback - not intense enough?  Then there’s not enough plasma to compensate for the self-focusing and the beam converges.  Too intense? &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Then &lt;/ins&gt;there’s an excess of plasma and the beam spreads out a bit.  This self-focusing lets the beam overcome the diffraction limit.  You end up with an inner core of sparsely ionized plasma surrounded by a sheath of high intensity light.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;  Adjacent filaments tend to attract each other and propagate together as tight bundles.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;  Adjacent filaments tend to attract each other and propagate together as tight bundles.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Filaments cause ionization, so they lose energy to the air the farther they go.  Their range depends on the energy in the pulse &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;the power per filament may be fixed, but longer duration pulses can have more energy.  Roughly, a filament will lose about 2 μJ / m.  But there’s an upper limit to the energy of a filament, too.  If the duration is longer than about a picosecond, the electrons the laser pulse creates will have time to accelerate in the pulse’s electric field and crash into other atoms, freeing more electrons which will in turn make even more electrons - a runaway process called cascade ionization.  If this happens, the plasma will absorb all of the pulse’s energy.  If you send another pulse through before the old plasma has had time to recombine, that pulse could be blocked as well.  It takes about 10 ns for the plasma to recombine enough to send another pulse after it.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Filaments cause ionization, so they lose energy to the air the farther they go.  Their range depends on the energy in the pulse &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;ndash; &lt;/ins&gt;the power per filament may be fixed, but longer duration pulses can have more energy.  Roughly, a filament will lose about 2 μJ / m.  But there’s an upper limit to the energy of a filament, too.  If the duration is longer than about a picosecond, the electrons the laser pulse creates will have time to accelerate in the pulse’s electric field and crash into other atoms, freeing more electrons which will in turn make even more electrons - a runaway process called cascade ionization.  If this happens, the plasma will absorb all of the pulse’s energy.  If you send another pulse through before the old plasma has had time to recombine, that pulse could be blocked as well.  It takes about 10 ns for the plasma to recombine enough to send another pulse after it.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;So with 10 GW of power and 1 ps maximum duration, individual filaments won’t have more than 0.01 J or so, and thus they won’t get much farther than 5 km.  High powered pulses that split into multiple filaments can go further by having the depleted filaments combine into full power filaments again.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;So with 10 GW of power and 1 ps maximum duration, individual filaments won’t have more than 0.01 J or so, and thus they won’t get much farther than 5 km.  High powered pulses that split into multiple filaments can go further by having the depleted filaments combine into full power filaments again&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.  Keep in mind that these numbers are all extremely rough, but they give an idea of the order of magnitude of the timing and energies of these things&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Wouldn’t &lt;/del&gt;it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be nice if there was some &lt;/del&gt;way to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;have &lt;/del&gt;your beam &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not form filaments until &lt;/del&gt;you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wanted it &lt;/del&gt;to&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;? &lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Turns out&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;there &lt;/del&gt;is.  &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Different frequencies &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;light go through &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;air at slightly different speeds&lt;/del&gt;.  &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;So if &lt;/del&gt;you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;emit &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pulse below &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;threshold for filamentation &lt;/del&gt;but with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;slow frequencies in front and fast frequencies behind, &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;light piles up as &lt;/del&gt;it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;goes and &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intensity rises.  Adjust &lt;/del&gt;this &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pulse just right, and &lt;/del&gt;you get &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;filaments forming right where you want them&lt;/del&gt;.  &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This method of separating &lt;/del&gt;out the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;timing &lt;/del&gt;of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;light by frequency is &lt;/del&gt;called &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;chirping&lt;/del&gt;.  If you can &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pull this off&lt;/del&gt;, you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;could &lt;/del&gt;overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;if you have visions of traditional Sci Fi media in your head, you might imagine these streaks starting at the end of your gun where the laser comes out, and ending at your target going all explody on you.  But for several reasons this is probably not how &lt;/ins&gt;it &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;will go.  First of all, you don&#039;t need to do it this &lt;/ins&gt;way &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- just like with normal beams that start out wide and focus down &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a tight intense spot, you can make &lt;/ins&gt;your &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;beams begin wide and only focus to an intensity that can initiate filamentation when the &lt;/ins&gt;beam &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gets sufficiently focused.  This lets &lt;/ins&gt;you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;start the filament close &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your target. &lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;And if you do this&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;then less energy &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wasted making a long plasma in the air, leaving more to blast your target&lt;/ins&gt;.  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;You also don&#039;t have to worry about your pulse running out &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;energy before it even gets to &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;target&lt;/ins&gt;.  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It makes it harder for your enemies to trace the filaments back to &lt;/ins&gt;you&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.  And perhaps most important is &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;technical issue &amp;amp;ndash; you probably can&#039;t design optics that can withstand &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intensity of a filamenting beam, &lt;/ins&gt;but &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you can make optics that can deal &lt;/ins&gt;with the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intensities of a widely expanded beam that can still initiate filamentation once &lt;/ins&gt;it &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is focused down to a small spot.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you have read &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;page on [[Diffraction|diffraction]], you might think that &lt;/ins&gt;this &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;will limit the range at which &lt;/ins&gt;you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can &lt;/ins&gt;get &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;filamentation started based on the requirement for your laser to focus down to a minimum diffraction-limited spot size to start the filament&lt;/ins&gt;.  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It turns &lt;/ins&gt;out&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, this is not quite how it works.  If you do the math, any beam that has enough power to start a filament (even if it does not have &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intensity) will self focus enough when it gets into nearly-straight part &lt;/ins&gt;of the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;beam (&lt;/ins&gt;called &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the beam waist) to keep focusing so that the beam never expands again, but continues to contract down to a filament&lt;/ins&gt;.  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If the beam has a wider minimum spot size, it also has a longer beam waist, giving more distance for the self focusing to take effect.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If you can &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;get filaments&lt;/ins&gt;, you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can &lt;/ins&gt;overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The limitation on the maximum duration of a pulse before it stops filamenting and starts causing breakdown via cascade ionization, combined with the maximum intensity of a filament, might make it difficult to deliver enough energy to a target to have an effective weapon.  One potential solution is to use a ring of filaments to guide a longer duration and higher energy pulse but with power below the filament threshold.  Basically, if you make filaments in a cylinder and leave a core of normal air in the middle, the air will act like a fiber optic line and keep your laser beam from expanding due to diffraction or, potentially, thermal blooming&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;ref&amp;gt;[https://phys.org/news/2023-05-optical-fiber-thin-air.html Experiment demonstrates continuously operating optical fiber made of thin air]&amp;lt;/ref&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;ref&amp;gt;[https://doi.org/10.1364/OPTICA.487292 A. Goffin, A. Tartaro, and H. M. Milchberg, &quot;Quasi-steady-state air waveguide&quot;, Optica Vol. 10, Issue 4, pp. 505-506 (2023)].&amp;lt;/ref&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1581&amp;oldid=prev</id>
		<title>Lwcamp at 14:27, 25 September 2022</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1581&amp;oldid=prev"/>
		<updated>2022-09-25T14:27:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:27, 25 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These self-focused laser pulses, called laser filaments, have some really out there properties&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.  The light in them stops being the color that the laser made.  Instead, it spreads out in frequency into white light&lt;/del&gt;.  Filaments tend to converge on a size of around 0.1 mm diameter and a power of 10 GW.  If a filament gets more power than that, it will split into more filaments to keep the power down.  If it has less power and there are other nearby filaments, it will merge with those filaments to bring its power back up.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These self-focused laser pulses, called laser filaments, have some really out there properties.  Filaments tend to converge on a size of around 0.1 mm diameter and a power of 10 GW.  If a filament gets more power than that, it will split into more filaments to keep the power down.  If it has less power and there are other nearby filaments, it will merge with those filaments to bring its power back up.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;  Adjacent filaments tend to attract each other and propagate together as tight bundles.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;  Adjacent filaments tend to attract each other and propagate together as tight bundles.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;So with 10 GW of power and 1 ps maximum duration, individual filaments won’t have more than 0.01 J or so, and thus they won’t get much farther than 5 km.  High powered pulses that split into multiple filaments can go further by having the depleted filaments combine into full power filaments again.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;So with 10 GW of power and 1 ps maximum duration, individual filaments won’t have more than 0.01 J or so, and thus they won’t get much farther than 5 km.  High powered pulses that split into multiple filaments can go further by having the depleted filaments combine into full power filaments again.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;white &lt;/del&gt;streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  Wouldn’t it be nice if there was some way to have your beam not form filaments until you wanted it to?  Turns out, there is.  Different frequencies of light go through the air at slightly different speeds.  So if you emit a pulse below the threshold for filamentation but with slow frequencies in front and fast frequencies behind, the light piles up as it goes and the intensity rises.  Adjust this pulse just right, and you get filaments forming right where you want them.  This method of separating out the timing of the light by frequency is called chirping.  If you can pull this off, you could overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  Wouldn’t it be nice if there was some way to have your beam not form filaments until you wanted it to?  Turns out, there is.  Different frequencies of light go through the air at slightly different speeds.  So if you emit a pulse below the threshold for filamentation but with slow frequencies in front and fast frequencies behind, the light piles up as it goes and the intensity rises.  Adjust this pulse just right, and you get filaments forming right where you want them.  This method of separating out the timing of the light by frequency is called chirping.  If you can pull this off, you could overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1580&amp;oldid=prev</id>
		<title>Lwcamp at 14:26, 25 September 2022</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=1580&amp;oldid=prev"/>
		<updated>2022-09-25T14:26:50Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:26, 25 September 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These self-focused laser pulses, called laser filaments, have some really out there properties.  The light in them stops being the color that the laser made.  Instead, it spreads out in frequency into white light.  Filaments tend to converge on a size of around 0.1 mm diameter and a power of 10 GW.  If a filament gets more power than that, it will split into more filaments to keep the power down.  If it has less power and there are other nearby filaments, it will merge with those filaments to bring its power back up.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These self-focused laser pulses, called laser filaments, have some really out there properties.  The light in them stops being the color that the laser made.  Instead, it spreads out in frequency into white light.  Filaments tend to converge on a size of around 0.1 mm diameter and a power of 10 GW.  If a filament gets more power than that, it will split into more filaments to keep the power down.  If it has less power and there are other nearby filaments, it will merge with those filaments to bring its power back up.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Adjacent filaments tend to attract each other and propagate together as tight bundles.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Filaments cause ionization, so they lose energy to the air the farther they go.  Their range depends on the energy in the pulse - the power per filament may be fixed, but longer duration pulses can have more energy.  Roughly, a filament will lose about 2 μJ / m.  But there’s an upper limit to the energy of a filament, too.  If the duration is longer than about a picosecond, the electrons the laser pulse creates will have time to accelerate in the pulse’s electric field and crash into other atoms, freeing more electrons which will in turn make even more electrons - a runaway process called cascade ionization.  If this happens, the plasma will absorb all of the pulse’s energy.  If you send another pulse through before the old plasma has had time to recombine, that pulse could be blocked as well.  It takes about 10 ns for the plasma to recombine enough to send another pulse after it.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Filaments cause ionization, so they lose energy to the air the farther they go.  Their range depends on the energy in the pulse - the power per filament may be fixed, but longer duration pulses can have more energy.  Roughly, a filament will lose about 2 μJ / m.  But there’s an upper limit to the energy of a filament, too.  If the duration is longer than about a picosecond, the electrons the laser pulse creates will have time to accelerate in the pulse’s electric field and crash into other atoms, freeing more electrons which will in turn make even more electrons - a runaway process called cascade ionization.  If this happens, the plasma will absorb all of the pulse’s energy.  If you send another pulse through before the old plasma has had time to recombine, that pulse could be blocked as well.  It takes about 10 ns for the plasma to recombine enough to send another pulse after it.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=382&amp;oldid=prev</id>
		<title>Lwcamp at 05:02, 12 October 2021</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=382&amp;oldid=prev"/>
		<updated>2021-10-12T05:02:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:02, 11 October 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright white streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  Wouldn’t it be nice if there was some way to have your beam not form filaments until you wanted it to?  Turns out, there is.  Different frequencies of light go through the air at slightly different speeds.  So if you emit a pulse below the threshold for filamentation but with slow frequencies in front and fast frequencies behind, the light piles up as it goes and the intensity rises.  Adjust this pulse just right, and you get filaments forming right where you want them.  This method of separating out the timing of the light by frequency is called chirping.  If you can pull this off, you could overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Laser filaments are visible as bright white streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  Wouldn’t it be nice if there was some way to have your beam not form filaments until you wanted it to?  Turns out, there is.  Different frequencies of light go through the air at slightly different speeds.  So if you emit a pulse below the threshold for filamentation but with slow frequencies in front and fast frequencies behind, the light piles up as it goes and the intensity rises.  Adjust this pulse just right, and you get filaments forming right where you want them.  This method of separating out the timing of the light by frequency is called chirping.  If you can pull this off, you could overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Credit==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Author: Luke Campbell&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==References==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=215&amp;oldid=prev</id>
		<title>Lwcamp: Created page with &quot;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The las...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Filamentation&amp;diff=215&amp;oldid=prev"/>
		<updated>2021-09-29T15:31:43Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The las...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A peculiar effect happens in air when laser pulses reach crazy-high intensities.  The pulses start to get focused inward by the effect of the light on the air itself.  The laser pulses are saved from catastrophic over-focusing by starting to make a plasma out of the air when their intensity gets too high, which acts to de-focus the beam.  So we have a stable system with feedback - not intense enough?  Then there’s not enough plasma to compensate for the self-focusing and the beam converges.  Too intense? then there’s an excess of plasma and the beam spreads out a bit.  This self-focusing lets the beam overcome the diffraction limit.  You end up with an inner core of sparsely ionized plasma surrounded by a sheath of high intensity light.&lt;br /&gt;
&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;  &lt;br /&gt;
&lt;br /&gt;
These self-focused laser pulses, called laser filaments, have some really out there properties.  The light in them stops being the color that the laser made.  Instead, it spreads out in frequency into white light.  Filaments tend to converge on a size of around 0.1 mm diameter and a power of 10 GW.  If a filament gets more power than that, it will split into more filaments to keep the power down.  If it has less power and there are other nearby filaments, it will merge with those filaments to bring its power back up.&lt;br /&gt;
&amp;lt;ref name=Chin_2006&amp;gt;S. L. Chin, “Some Fundamental Concepts of Femtosecond Laser Filamentation”, Journal of the Korean Physical Society, Vol. 49, No. 1, July 2006, pp. 281-285.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=Gaeta_2003&amp;gt;Alexander L. Gaeta, “Collapsing Light Really Shines”, Science Vol. 301 pp. 54-55, 4 July 2003&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Filaments cause ionization, so they lose energy to the air the farther they go.  Their range depends on the energy in the pulse - the power per filament may be fixed, but longer duration pulses can have more energy.  Roughly, a filament will lose about 2 μJ / m.  But there’s an upper limit to the energy of a filament, too.  If the duration is longer than about a picosecond, the electrons the laser pulse creates will have time to accelerate in the pulse’s electric field and crash into other atoms, freeing more electrons which will in turn make even more electrons - a runaway process called cascade ionization.  If this happens, the plasma will absorb all of the pulse’s energy.  If you send another pulse through before the old plasma has had time to recombine, that pulse could be blocked as well.  It takes about 10 ns for the plasma to recombine enough to send another pulse after it.&lt;br /&gt;
&lt;br /&gt;
So with 10 GW of power and 1 ps maximum duration, individual filaments won’t have more than 0.01 J or so, and thus they won’t get much farther than 5 km.  High powered pulses that split into multiple filaments can go further by having the depleted filaments combine into full power filaments again.&lt;br /&gt;
&lt;br /&gt;
Laser filaments are visible as bright white streaks.  This lets you see where you are shooting, but also lets your enemies see where you are shooting from.  Wouldn’t it be nice if there was some way to have your beam not form filaments until you wanted it to?  Turns out, there is.  Different frequencies of light go through the air at slightly different speeds.  So if you emit a pulse below the threshold for filamentation but with slow frequencies in front and fast frequencies behind, the light piles up as it goes and the intensity rises.  Adjust this pulse just right, and you get filaments forming right where you want them.  This method of separating out the timing of the light by frequency is called chirping.  If you can pull this off, you could overcome the problems inherent in the limited depth of focus of laser beams, because once the filaments start they won’t spread out again.&lt;br /&gt;
&lt;br /&gt;
[[Category:Lasers]]&lt;/div&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
</feed>