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	<title>Template:Green&#039;s function equations for the diffracted potential - Revision history</title>
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		<id>https://www.wikiwaves.org/index.php?title=Template:Green%27s_function_equations_for_the_diffracted_potential&amp;diff=9939&amp;oldid=prev</id>
		<title>Meylan at 00:13, 17 September 2009</title>
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		<updated>2009-09-17T00:13:22Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;We use the [[Free-Surface Green Function]] for two-dimensional waves, with singularity at&lt;br /&gt;
the water surface since we are only&lt;br /&gt;
interested in its value at &amp;lt;math&amp;gt;z=0&amp;lt;/math&amp;gt; &lt;br /&gt;
(details about this method can be found in [[Integral Equation for the Finite Depth Green Function at Surface]]).&lt;br /&gt;
Using this we can transform the system of equations to &lt;br /&gt;
&amp;lt;center&amp;gt;&amp;lt;math&amp;gt;&lt;br /&gt;
\phi^{\mathrm{D}}(x) = \phi^{\mathrm{I}}(x) + \int_{-L}^{L}G(x,\xi) \alpha\phi^{\mathrm{D}}(\xi) \mathrm{d} \xi&lt;br /&gt;
&amp;lt;/math&amp;gt;&amp;lt;/center&amp;gt;&lt;/div&gt;</summary>
		<author><name>Meylan</name></author>
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