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		<id>https://vctrac.es/index.php?action=history&amp;feed=atom&amp;title=aproximaci%C3%B3n_paraxial</id>
		<title>aproximación paraxial - Historial de revisiones</title>
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		<updated>2026-04-07T06:17:34Z</updated>
		<subtitle>Historial de revisiones para esta página en el wiki</subtitle>
		<generator>MediaWiki 1.27.0</generator>

	<entry>
		<id>https://vctrac.es/index.php?title=aproximaci%C3%B3n_paraxial&amp;diff=28022&amp;oldid=prev</id>
		<title>Elena en 17:54 9 mar 2020</title>
		<link rel="alternate" type="text/html" href="https://vctrac.es/index.php?title=aproximaci%C3%B3n_paraxial&amp;diff=28022&amp;oldid=prev"/>
				<updated>2020-03-09T17:54:00Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='es'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revisión del 17:54 9 mar 2020&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;Línea 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=aproximación paraxial=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=aproximación paraxial=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;span style=&amp;quot;color: green;&amp;quot;&amp;gt;paraxial approximation&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]]''. Aproximación en el cálculo de sistemas ópticos consistente en considerar solo rayos de luz que forman ángulos \(\theta \) muy pequeños con el eje óptico del sistema de modo que \({\mathop{\rm sen}\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;nolimits} &lt;/del&gt;\theta \approx \theta \), \(\tan \theta \approx \theta \), y o bien \(\cos \theta \approx 1\) (aproximación paraxial de primer orden), o bien \(cos \theta \approx 1 - {\theta ^{{\kern 1pt} 2}&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;}{\kern 1pt&lt;/del&gt;} /2\) (aproximación paraxial de segundo orden).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;span style=&amp;quot;color: green;&amp;quot;&amp;gt;paraxial approximation&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]]''. Aproximación en el cálculo de sistemas ópticos consistente en considerar solo rayos de luz que forman ángulos \(\theta \) muy pequeños con el eje óptico del sistema de modo que \({\mathop{\rm sen&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}&lt;/ins&gt;} \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;,&lt;/ins&gt;\theta \approx \theta \), \(\tan \theta \approx \theta \), y o bien \(\cos \theta \approx 1\) (aproximación paraxial de primer orden), o bien \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;cos \theta \approx &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{&lt;/ins&gt;1 - {\theta ^{{\kern 1pt} 2}}/2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}&lt;/ins&gt;\) (aproximación paraxial de segundo orden).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Elena</name></author>	</entry>

	<entry>
		<id>https://vctrac.es/index.php?title=aproximaci%C3%B3n_paraxial&amp;diff=27352&amp;oldid=prev</id>
		<title>David en 10:45 21 ene 2020</title>
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				<updated>2020-01-21T10:45:00Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='es'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revisión del 10:45 21 ene 2020&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;Línea 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=aproximación paraxial=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=aproximación paraxial=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;span style=&amp;quot;color: green;&amp;quot;&amp;gt;paraxial approximation&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]]''. Aproximación en el cálculo de sistemas ópticos consistente en considerar solo rayos de luz que forman ángulos (theta ) muy pequeños con el eje óptico del sistema de modo que ({mathop{rm sen}nolimits} theta approx theta ), (tan theta approx theta ), y o bien (cos theta approx 1) (aproximación paraxial de primer orden), o bien (cos theta approx 1 - {theta ^{{kern 1pt} 2}}{kern 1pt} /2) (aproximación paraxial de segundo orden).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;span style=&amp;quot;color: green;&amp;quot;&amp;gt;paraxial approximation&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]]''. Aproximación en el cálculo de sistemas ópticos consistente en considerar solo rayos de luz que forman ángulos &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) muy pequeños con el eje óptico del sistema de modo que &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;({&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm sen}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;approx &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;tan &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;approx &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;), y o bien &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;cos &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;approx 1&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) (aproximación paraxial de primer orden), o bien &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(cos &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;approx 1 - {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;theta ^{{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;kern 1pt} 2}}{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;kern 1pt} /2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) (aproximación paraxial de segundo orden).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>David</name></author>	</entry>

	<entry>
		<id>https://vctrac.es/index.php?title=aproximaci%C3%B3n_paraxial&amp;diff=22832&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
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				<updated>2020-01-20T09:53:06Z</updated>
		
		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nueva&lt;/b&gt;&lt;/p&gt;&lt;div&gt;=aproximación paraxial=&lt;br /&gt;
(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;paraxial approximation&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]]''. Aproximación en el cálculo de sistemas ópticos consistente en considerar solo rayos de luz que forman ángulos (theta ) muy pequeños con el eje óptico del sistema de modo que ({mathop{rm sen}nolimits} theta approx theta ), (tan theta approx theta ), y o bien (cos theta approx 1) (aproximación paraxial de primer orden), o bien (cos theta approx 1 - {theta ^{{kern 1pt} 2}}{kern 1pt} /2) (aproximación paraxial de segundo orden).&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>	</entry>

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