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		<title>k-Wave User Forum &#187; Topic: 3D Cartesian grids vs 2D Axisymmetric grids</title>
		<link>http://www.k-wave.org/forum/topic/3d-cartesian-grids-vs-2d-axisymmetric-grids</link>
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		<pubDate>Wed, 13 May 2026 01:50:13 +0000</pubDate>
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			<title>Bradley Treeby on "3D Cartesian grids vs 2D Axisymmetric grids"</title>
			<link>http://www.k-wave.org/forum/topic/3d-cartesian-grids-vs-2d-axisymmetric-grids#post-8274</link>
			<pubDate>Wed, 04 Aug 2021 20:16:41 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">8274@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Marzieh_ezr,&#60;/p&#62;
&#60;p&#62;All things being equal, they should give the same results. There are a few subtleties, e.g., (1) the frequency domain is square in the 3D code, so can support higher wavenumbers in the diagonal directions and (2) the k-space correction in the AS code is only approximate in the radial direction, see the &#60;a href=&#34;http://bug.medphys.ucl.ac.uk/papers/2020-Treeby-JASA.pdf&#34;&#62;AS paper&#60;/a&#62; for more details). There are a couple of examples for plane piston and bowl transducers using both the 3D and AS codes in the &#60;a href=&#34;http://www.k-wave.org/forum/topic/alpha-version-of-kwavearray-off-grid-sources&#34;&#62;kWaveArray&#60;/a&#62; class which demonstrate that both match the analytical solution.&#60;/p&#62;
&#60;p&#62;Hope that helps,&#60;/p&#62;
&#60;p&#62;Brad.
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			<title>Marzieh_ezr on "3D Cartesian grids vs 2D Axisymmetric grids"</title>
			<link>http://www.k-wave.org/forum/topic/3d-cartesian-grids-vs-2d-axisymmetric-grids#post-8270</link>
			<pubDate>Tue, 03 Aug 2021 12:02:15 +0000</pubDate>
			<dc:creator>Marzieh_ezr</dc:creator>
			<guid isPermaLink="false">8270@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi,&#60;br /&#62;
I have simulated the acoustic wave propagation using two functions: kspaceFirstOrderAS and kspaceFirstOrder3D. The geometry and frequency response for both models are the same but the output signals(which are integrated over all sensor elements) are different especially when it comes to the rarefaction peak. The output of the kspaceFirstOrderAS seems to be closer to the experimental signal but as none of them matches perfectly I really do not know if it means better to use kspaceFirstOrderAS or there might be some other reasons. Is it normal to get different signals using these two different functions? What would be the probable reasons?
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