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		<title>k-Wave User Forum &#187; Topic: implementation of the the function fitPowerLawParamsMulti</title>
		<link>http://www.k-wave.org/forum/topic/implementation-of-the-the-function-fitpowerlawparamsmulti</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Wed, 13 May 2026 13:21:52 +0000</pubDate>
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			<title>Bradley Treeby on "implementation of the the function fitPowerLawParamsMulti"</title>
			<link>http://www.k-wave.org/forum/topic/implementation-of-the-the-function-fitpowerlawparamsmulti#post-6917</link>
			<pubDate>Tue, 25 Jun 2019 08:59:12 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">6917@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Gabrielle,&#60;/p&#62;
&#60;p&#62;This function gives absorption values that are correct at the reference frequency. In this case, the actual value of &#60;code&#62;y_ref&#60;/code&#62; doesn't matter (I usually choose 2), provided that the absorption at &#60;code&#62;f_ref&#60;/code&#62; match that expected by &#60;code&#62;a0&#60;/code&#62; and &#60;code&#62;y&#60;/code&#62;. The function automatically takes into account the actual absorption behaviour, including for highly absorbing media.&#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>Gabrielle on "implementation of the the function fitPowerLawParamsMulti"</title>
			<link>http://www.k-wave.org/forum/topic/implementation-of-the-the-function-fitpowerlawparamsmulti#post-6814</link>
			<pubDate>Sat, 30 Mar 2019 02:04:55 +0000</pubDate>
			<dc:creator>Gabrielle</dc:creator>
			<guid isPermaLink="false">6814@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi,&#60;/p&#62;
&#60;p&#62;Thank you for such a wonderful toolbox!&#60;/p&#62;
&#60;p&#62;Recently I found the unreleased function &#60;code&#62;fitPowerLawParamsMulti&#60;/code&#62; from the forum to solve the smallness approximation problem. &#60;/p&#62;
&#60;p&#62;I  tried this function for a skull case with attenuation coefficient varies from 0 to 20 dB/cm and I assumed a constant power law exponent 2.0. It seems that this fitting function does not adjust the attenuation coefficient when ref_y is chosen as 2.0. &#60;/p&#62;
&#60;p&#62;Then I changed the ref_y to 1.5,  the adjusted values from this function were smaller than original data. But when I check the paper &#34;Modeling power law absorption and dispersion in viscoelastic solids using a split-field and the fractional Laplacian&#34;, the figure 2(a) shows that the fitting function will give higher values as the original absorption will underestimate the absorption.&#60;/p&#62;
&#60;p&#62;Another concern is that does this function only correct the values for moderate \omega\tau values? what about the case when \omega\tau&#38;gt;&#38;gt;1 ?&#60;/p&#62;
&#60;p&#62;many thanks,&#60;br /&#62;
Gabrielle
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