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		<title>k-Wave User Forum &#187; Topic: Kramers-Kronig relations and powerLawKramersKronig()</title>
		<link>http://www.k-wave.org/forum/topic/kramers-kronig-relations-and-powerlawkramerskronig</link>
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		<pubDate>Tue, 12 May 2026 23:31:57 +0000</pubDate>
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			<title>Bradley Treeby on "Kramers-Kronig relations and powerLawKramersKronig()"</title>
			<link>http://www.k-wave.org/forum/topic/kramers-kronig-relations-and-powerlawkramerskronig#post-5387</link>
			<pubDate>Tue, 16 Feb 2016 02:20:26 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">5387@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Anthony,&#60;/p&#62;
&#60;p&#62;The absorption value needs to be in Nepers/((rad/s)^y m), rather than Nepers/((MHz)^y m). If you convert, I think this gives c_kk = 1501.2 m/s, which seems to make more sense.&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
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			<title>Anthony on "Kramers-Kronig relations and powerLawKramersKronig()"</title>
			<link>http://www.k-wave.org/forum/topic/kramers-kronig-relations-and-powerlawkramerskronig#post-5373</link>
			<pubDate>Mon, 01 Feb 2016 13:54:12 +0000</pubDate>
			<dc:creator>Anthony</dc:creator>
			<guid isPermaLink="false">5373@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Brad,&#60;/p&#62;
&#60;p&#62;I have a question about the use of powerLawKramersKronig().&#60;/p&#62;
&#60;p&#62;I work at a frequency of 3 MHz -&#38;gt; w = 2*pi*3e6 rad/s&#60;br /&#62;
I consider a reference frequency of 1 MHz -&#38;gt; w0 = 2*pi*1e6 rad/s&#60;br /&#62;
Let's take a reference sound speed of c0 = 1500 m/s&#60;br /&#62;
Then, in liver [Pohlhammer 1991] :&#60;br /&#62;
a0 = 4.3 Np/m/MHz^y&#60;br /&#62;
y = 1.266 &#60;/p&#62;
&#60;p&#62;Now let's use the function : c_kk = powerLawKramersKronig(w, w0, c0, a0, y)&#60;br /&#62;
&#60;code&#62;c_kk = powerLawKramersKronig(2*pi*3e6, 2*pi*1e6, 1500, 4.3, 1.266);&#60;/code&#62;&#60;/p&#62;
&#60;p&#62;This gives me c_kk = -0.0047 m/s, which I don't understand.&#60;br /&#62;
Is there a problem in the values I use? &#60;/p&#62;
&#60;p&#62;Best regards,&#60;br /&#62;
Anthony
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