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		<title>k-Wave User Forum &#187; Topic: Counter-intuitive results simulating through skull</title>
		<link>http://www.k-wave.org/forum/topic/counter-intuitive-results-simulating-through-skull</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Wed, 13 May 2026 12:42:41 +0000</pubDate>
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			<title>Bradley Treeby on "Counter-intuitive results simulating through skull"</title>
			<link>http://www.k-wave.org/forum/topic/counter-intuitive-results-simulating-through-skull#post-7087</link>
			<pubDate>Fri, 18 Oct 2019 19:55:18 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">7087@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi IanH,&#60;/p&#62;
&#60;p&#62;A few points:&#60;/p&#62;
&#60;p&#62;(1) Always run a convergence test (increase the ppw) to see if you can trust your answers.&#60;br /&#62;
(2) It's possible the curved bone is acting like a lens, focusing the waves and thereby increasing the pressure.&#60;br /&#62;
(3) Yes, the layered bone structure will introduce a frequency/thickness dependence that doesn't exist for a half-space. See &#60;a href=&#34;https://doi.org/10.1088/0031-9155/51/9/013&#34;&#62;this paper&#60;/a&#62; for example.&#60;/p&#62;
&#60;p&#62;Hope that helps,&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
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			<title>IanH on "Counter-intuitive results simulating through skull"</title>
			<link>http://www.k-wave.org/forum/topic/counter-intuitive-results-simulating-through-skull#post-7050</link>
			<pubDate>Tue, 17 Sep 2019 01:41:52 +0000</pubDate>
			<dc:creator>IanH</dc:creator>
			<guid isPermaLink="false">7050@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;I got some counter-intuitive results that I could use some insight on.&#60;/p&#62;
&#60;p&#62;I ran 3D simulations with a single-element transducer facing towards an example skull. The simulations were done over two different areas of the skull for comparison: parietal bone (thick, curved) and temporal bone (flatter, thinner). Voxels within skull were set to medium properties of skull (bulk), and everything else was set to properties of brain. An average of peak pressures past the skull (within “brain”) were noted. This average peak was compared to the average peak in an identical simulation with medium properties set to those of water. A mean of peak values in water were noted, creating an estimate of attenuation: pressure peak ratio (brain / water). This was done on 9 different example skulls.&#60;/p&#62;
&#60;p&#62;Counter to my expectations, the peak pressure ratio for the simulation over temporal bone (flatter, thinner) was lower than that of parietal bone (thicker, curved)—about 0.4 and 0.5 respectively. In other words, lower peak pressures were seen after passing through the flatter, thinner temporal bone.&#60;/p&#62;
&#60;p&#62;Of note: The grid points per wavelength were lower than minimum suggested levels:&#60;br /&#62;
 	Brain: 3.9 grid points per wavelength&#60;br /&#62;
	Skull: 7.5 grid points per wavelength&#60;br /&#62;
	Water: 3.7 grid points per wavelength&#60;/p&#62;
&#60;p&#62;My questions: Are these results to be expected? Can the relationship between the wavelength and the width of a solid medium create non-linear levels of attenuation (as in, energy absorbed does not simply drop linearly as a function of mm the wave must pass through, at least in values ranging from 3-13 mm). Is it result of too few grid points per wavelength?&#60;/p&#62;
&#60;p&#62;(Some additional details):&#60;/p&#62;
&#60;p&#62;Single-element transducer [makeBowl()]&#60;br /&#62;
Single frequency: 0.5 MHz&#60;br /&#62;
alpha_power: 1 (no dispersion)&#60;br /&#62;
BonA: not defined&#60;br /&#62;
CFL number for simulations&#60;br /&#62;
	0.3&#60;br /&#62;
Grid points per wavelength&#60;br /&#62;
	brain: 3.8657&#60;br /&#62;
	skull: 7.5000&#60;br /&#62;
	water: 3.7050
&#60;/p&#62;</description>
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