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		<title>k-Wave User Forum &#187; Topic: Lower limit of frequency bandwidth supported by a k-space grid</title>
		<link>http://www.k-wave.org/forum/topic/lower-limit-of-frequency-bandwidth-supported-by-a-k-space-grid</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Wed, 13 May 2026 09:00:49 +0000</pubDate>
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			<title>datbui on "Lower limit of frequency bandwidth supported by a k-space grid"</title>
			<link>http://www.k-wave.org/forum/topic/lower-limit-of-frequency-bandwidth-supported-by-a-k-space-grid#post-8852</link>
			<pubDate>Fri, 30 Jun 2023 02:43:15 +0000</pubDate>
			<dc:creator>datbui</dc:creator>
			<guid isPermaLink="false">8852@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Dr. Treeby and Dr. Cox,&#60;/p&#62;
&#60;p&#62;I understand that in kWave, the wave equations are discretised in time by Δt and in space through wavenumbers by Δξ; spatial gradient calculations are calculated (“sampled”) at every Δt time interval and Δξ spatial interval.&#60;/p&#62;
&#60;p&#62;It is straightforward to see that, with such discretisation, the supported frequency is limited to f_max = c_min/2Δξ.&#60;/p&#62;
&#60;p&#62;My question is, is there a lower limit of the frequency that is supported by a particular grid? In other words, let's say, the smallest non-zero wavenumber supported by the grid is Δk_ξ = 2π/(Δξ×N_ξ); would this defines the lower limit of the computational grid to f_min = c_max/(Δξ×N_ξ), considering that f = (c×k_ξ)/2π?&#60;/p&#62;
&#60;p&#62;I am asking this question because I am using &#60;code&#62;pstdElastic2D&#60;/code&#62; code to simulate wave propagation problems in stratified media and start to observe some strange behaviours when the excitation frequency decreases under a certain limit.&#60;/p&#62;
&#60;p&#62;Regards,&#60;/p&#62;
&#60;p&#62;Dat
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