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	<updated>2026-08-05T16:48:12Z</updated>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Electro-optic_modulator&amp;diff=1269</id>
		<title>Electro-optic modulator</title>
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		<updated>2013-08-22T16:27:36Z</updated>

		<summary type="html">&lt;p&gt;206.83.48.8: Added clarifying language and improved the logical flow of the introduction.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;In [[telecommunication]], an &#039;&#039;&#039;equivalent noise resistance&#039;&#039;&#039; is a quantitative representation in resistance units of the [[spectral density]] of a [[noise]]-[[voltage]] generator, given by&lt;br /&gt;
&amp;lt;math&amp;gt;R_n = \frac {\pi W_n}{k T_0} &amp;lt;/math&amp;gt;&lt;br /&gt;
where &amp;lt;math&amp;gt;W_n&amp;lt;/math&amp;gt; is the spectral density, &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the [[Boltzmann&#039;s constant]], &amp;lt;math&amp;gt;T_0&amp;lt;/math&amp;gt; is the standard [[noise temperature]] (290 K), so &amp;lt;math&amp;gt;kT_0 = 4.00 \times 10^{-21}\,[Ws]&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Note:&#039;&#039;  The equivalent noise resistance in terms of the mean-square noise-generator voltage, &#039;&#039;e&#039;&#039;&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, within a [[frequency]] increment, Δ&amp;amp;nbsp;&#039;&#039;f&#039;&#039;, is given by&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;R_n = \frac{e^2}{4 k T_0\,\Delta f}.&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{FS1037C}}&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Equivalent input noise]]&lt;br /&gt;
* [[Effective input noise temperature]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Noise]]&lt;/div&gt;</summary>
		<author><name>206.83.48.8</name></author>
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