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		<title>k-Wave User Forum &#187; Topic: Geometrical spreading in 2D simulation</title>
		<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Wed, 13 May 2026 18:27:59 +0000</pubDate>
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			<title>Bradley Treeby on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-6241</link>
			<pubDate>Wed, 13 Dec 2017 10:16:26 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">6241@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Simone,&#60;/p&#62;
&#60;p&#62;I'm not sure I follow your question. Do you mean how is geometric spreading taken into account in k-Wave? If so, then it's already built into the solution to the wave equation. To put it another way, the wave equation already accounts for geometric spreading, and k-Wave directly solves the wave equation numerically.&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
		</item>
		<item>
			<title>ssternin on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-6228</link>
			<pubDate>Tue, 12 Dec 2017 02:03:24 +0000</pubDate>
			<dc:creator>ssternin</dc:creator>
			<guid isPermaLink="false">6228@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Bradley!&#60;/p&#62;
&#60;p&#62;I am using k-wave for some 2D simulations of wave propagation and I was wondering about how geometrical spreading is taken into account. Do you divide only by sqrt(R), where R is the distance between source and receiver, or you also add some other normalization factors?&#60;/p&#62;
&#60;p&#62;Thank you,&#60;br /&#62;
Simone Sternini
&#60;/p&#62;</description>
		</item>
		<item>
			<title>Bradley Treeby on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-5229</link>
			<pubDate>Fri, 04 Sep 2015 16:53:27 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">5229@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi tson,&#60;/p&#62;
&#60;p&#62;Glad to hear that you got a good match with experiments!&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
		</item>
		<item>
			<title>tson on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-5217</link>
			<pubDate>Mon, 24 Aug 2015 08:51:47 +0000</pubDate>
			<dc:creator>tson</dc:creator>
			<guid isPermaLink="false">5217@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;correction: 3D simulation*
&#60;/p&#62;</description>
		</item>
		<item>
			<title>tson on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-5216</link>
			<pubDate>Mon, 24 Aug 2015 08:15:41 +0000</pubDate>
			<dc:creator>tson</dc:creator>
			<guid isPermaLink="false">5216@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Thanks Brad! &#60;/p&#62;
&#60;p&#62;This is what I expected, because my 2D k-Wave elastic simulation waveforms matched the waveforms I obtained from my experiment exactly (medium was an aluminum block)! The model accurately predicted the amplitudes, time-of-flight, and phase for both longitudinal and shear modes.&#60;/p&#62;
&#60;p&#62;-T
&#60;/p&#62;</description>
		</item>
		<item>
			<title>Bradley Treeby on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-5209</link>
			<pubDate>Fri, 21 Aug 2015 10:34:21 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">5209@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi tson,&#60;/p&#62;
&#60;p&#62;The stress (pressure in the fluid case) in 2D will decay according to 1/sqrt(radius). You can consider anything that you define in 2D as being infinitely extended into the third dimension. For example, a point source in a 2D simulation will act as a cylindrical source. There are some more details in the &#60;a href=&#34;http://www.k-wave.org/documentation/example_ivp_photoacoustic_waveforms.php&#34;&#62;Photoacoustic Waveforms in 1D, 2D and 3D Example&#60;/a&#62;.&#60;/p&#62;
&#60;p&#62;Brad
&#60;/p&#62;</description>
		</item>
		<item>
			<title>tson on "Geometrical spreading in 2D simulation"</title>
			<link>http://www.k-wave.org/forum/topic/geometrical-spreading-in-2d-simulation#post-5206</link>
			<pubDate>Thu, 20 Aug 2015 06:45:19 +0000</pubDate>
			<dc:creator>tson</dc:creator>
			<guid isPermaLink="false">5206@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hello everyone,&#60;/p&#62;
&#60;p&#62;In a 2D k-Wave simulation, for a point-source, should the considered geometrical spreading be 1/r (as a spherical wave as in 3D) or 1/sqrt(r) (as cylindrical wave as in a 2D plate). I am asking because the model is done in 2D, but I did not read anything about plane strain in the 2D elastic model considered.&#60;/p&#62;
&#60;p&#62;Thanks!&#60;/p&#62;
&#60;p&#62;-T
&#60;/p&#62;</description>
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