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		<title>k-Wave User Forum &#187; Topic: Dirichlet Boundary Conditions in Heterogeneous Media</title>
		<link>http://www.k-wave.org/forum/topic/dirichlet-boundary-conditions-in-heterogeneous-media</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Wed, 13 May 2026 00:45:07 +0000</pubDate>
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			<title>Bradley Treeby on "Dirichlet Boundary Conditions in Heterogeneous Media"</title>
			<link>http://www.k-wave.org/forum/topic/dirichlet-boundary-conditions-in-heterogeneous-media#post-7966</link>
			<pubDate>Sun, 29 Nov 2020 11:00:24 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">7966@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Alternatively, you could use the velocity form of the Rayleigh integral to calculate the pressure on a nearby surface, and then use the function as normal.
&#60;/p&#62;</description>
		</item>
		<item>
			<title>hko on "Dirichlet Boundary Conditions in Heterogeneous Media"</title>
			<link>http://www.k-wave.org/forum/topic/dirichlet-boundary-conditions-in-heterogeneous-media#post-7965</link>
			<pubDate>Sun, 29 Nov 2020 09:03:18 +0000</pubDate>
			<dc:creator>hko</dc:creator>
			<guid isPermaLink="false">7965@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Brad,&#60;/p&#62;
&#60;p&#62;Thank you for your response. I will give it a try and update the post if it works.&#60;/p&#62;
&#60;p&#62;Best,&#60;br /&#62;
Khan
&#60;/p&#62;</description>
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		<item>
			<title>Bradley Treeby on "Dirichlet Boundary Conditions in Heterogeneous Media"</title>
			<link>http://www.k-wave.org/forum/topic/dirichlet-boundary-conditions-in-heterogeneous-media#post-7936</link>
			<pubDate>Thu, 26 Nov 2020 11:13:19 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">7936@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Khan,&#60;/p&#62;
&#60;p&#62;If you're comfortable with MATLAB and k-Wave, you could modify &#60;code&#62;calculateMassSource&#60;/code&#62; to work with velocity data. From a quick look, I think it's just the nested function &#60;code&#62;kWaveProjection&#60;/code&#62; that needs to change to use velocity sources and record velocity data from the sensor (in both cases, use the velocity component in the grid direction perpendicular to the measurement plane).&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
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			<title>hko on "Dirichlet Boundary Conditions in Heterogeneous Media"</title>
			<link>http://www.k-wave.org/forum/topic/dirichlet-boundary-conditions-in-heterogeneous-media#post-7909</link>
			<pubDate>Mon, 02 Nov 2020 07:36:57 +0000</pubDate>
			<dc:creator>hko</dc:creator>
			<guid isPermaLink="false">7909@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hello All,&#60;/p&#62;
&#60;p&#62;I am trying to find the 3D pressure field generated by an ultrasound transducer by using the laser vibrometer data (velocity) measured on the transducer surface as the source. I have set &#60;code&#62;source.u_mode = &#38;#39;dirichlet&#38;#39;&#60;/code&#62;, however, after going over &#60;a href=&#34;http://www.k-wave.org/forum/topic/simulation-layer-by-layer&#34;&#62;this&#60;/a&#62; post and this &#60;a href=&#34;http://www.k-wave.org/downloads/dirichlet_divided_simulation_3D_cw.m&#34;&#62;example&#60;/a&#62; which is about recording and re-transmitting a signal using a Dirichlet BC, I have noticed that my results may be incorrect. &#60;/p&#62;
&#60;p&#62;The transducer had a lens on it and the measurements where done in a water tank. So, as also discussed in the post above Dirichlet BCs are useful when the medium is homogeneous. I actually tested this in the example above and max percentage error increases from %1-2 to around %20 when I split the medium into 2 different media. As far as I know I cannot utilize the Equivalent-Source Acoustic Holography method since it requires measured pressure data instead of velocity. &#60;/p&#62;
&#60;p&#62;What would be the best approach for my problem?&#60;/p&#62;
&#60;p&#62;Thanks,&#60;br /&#62;
Khan
&#60;/p&#62;</description>
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