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		<title>k-Wave User Forum &#187; Topic: Elastic wave simulation for two medium</title>
		<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Tue, 12 May 2026 23:34:29 +0000</pubDate>
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		<item>
			<title>masud407 on "Elastic wave simulation for two medium"</title>
			<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium#post-8782</link>
			<pubDate>Tue, 30 May 2023 21:00:49 +0000</pubDate>
			<dc:creator>masud407</dc:creator>
			<guid isPermaLink="false">8782@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Dr. Treeby, thanks for your reply. By the image example, what did you mean as I haven't foind any attachment here?&#60;/p&#62;
&#60;p&#62;Also, you meant that I don't need to simulate ARF using K-wave, but I can get the similar outcomes, is this what you meant?
&#60;/p&#62;</description>
		</item>
		<item>
			<title>Bradley Treeby on "Elastic wave simulation for two medium"</title>
			<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium#post-8781</link>
			<pubDate>Tue, 30 May 2023 20:31:36 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">8781@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;You can include a heterogeneous medium in this type of simulation if that’s what you’re asking (see the image examples). Note, k-Wave doesn’t model the actual ARF directly (it’s a second-order effect) but you can output the parameters you need to compute it.
&#60;/p&#62;</description>
		</item>
		<item>
			<title>masud407 on "Elastic wave simulation for two medium"</title>
			<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium#post-8779</link>
			<pubDate>Tue, 30 May 2023 18:48:46 +0000</pubDate>
			<dc:creator>masud407</dc:creator>
			<guid isPermaLink="false">8779@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Thanks, Dr. Treeby. I just changed the medium information. I am confused whether the simulation is okay for heterogenous setup or not. Also, if I want to use the same transducer for ARF generation and tracking (sensor mask), is it possible to do so?
&#60;/p&#62;</description>
		</item>
		<item>
			<title>Bradley Treeby on "Elastic wave simulation for two medium"</title>
			<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium#post-8776</link>
			<pubDate>Sun, 28 May 2023 07:35:40 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">8776@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;What have you changed from the example and what are you stuck on?
&#60;/p&#62;</description>
		</item>
		<item>
			<title>masud407 on "Elastic wave simulation for two medium"</title>
			<link>http://www.k-wave.org/forum/topic/elastic-wave-simulation-for-two-medium#post-8774</link>
			<pubDate>Sat, 27 May 2023 22:59:39 +0000</pubDate>
			<dc:creator>masud407</dc:creator>
			<guid isPermaLink="false">8774@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hello, I am a new K-wave user. I want to simulate a linear transducer array that will generate ARF at the interface of the two medium. I used the example code for defining the diagnostic transducer. I am not sure if the following code is correct or not. Anyone please help?&#60;/p&#62;
&#60;p&#62;close all;&#60;br /&#62;
clear all;&#60;br /&#62;
clearvars;&#60;/p&#62;
&#60;p&#62;% simulation settings&#60;br /&#62;
DATA_CAST = 'single';&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% DEFINE THE K-WAVE GRID&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% set the size of the perfectly matched layer (PML)&#60;br /&#62;
PML_X_SIZE = 20;            % [grid points]&#60;br /&#62;
PML_Y_SIZE = 10;            % [grid points]&#60;br /&#62;
PML_Z_SIZE = 10;            % [grid points]&#60;/p&#62;
&#60;p&#62;% set total number of grid points not including the PML&#60;br /&#62;
Nx = 128 - 2*PML_X_SIZE;    % [grid points]&#60;br /&#62;
Ny = 128 - 2*PML_Y_SIZE;    % [grid points]&#60;br /&#62;
Nz = 64 - 2*PML_Z_SIZE;     % [grid points]&#60;/p&#62;
&#60;p&#62;% set desired grid size in the x-direction not including the PML&#60;br /&#62;
x = 40e-3;                  % [m]&#60;/p&#62;
&#60;p&#62;% calculate the spacing between the grid points&#60;br /&#62;
dx = x/Nx;                  % [m]&#60;br /&#62;
dy = dx;                    % [m]&#60;br /&#62;
dz = dx;                    % [m]&#60;/p&#62;
&#60;p&#62;% create the k-space grid&#60;br /&#62;
kgrid = kWaveGrid(Nx, dx, Ny, dy, Nz, dz);&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% DEFINE THE MEDIUM PARAMETERS&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;%define the properties of the propagation medium&#60;/p&#62;
&#60;p&#62;medium.sound_speed = 2000.*ones(Nx,Ny,Nz) ; % [m/s] 2nd&#60;br /&#62;
medium.sound_speed(1:Nx/2,:,:) = 1000 ; % [m/s] 1st 101&#60;br /&#62;
medium.density = 2000*ones(Nx,Ny,Nz); % [kg/m^3] 2nd&#60;br /&#62;
medium.density(1:round(Nx/2),:,:) = 1134 ; % [kg/m^3] 1st&#60;/p&#62;
&#60;p&#62;medium.alpha_coeff = 0.001*ones(Nx,Ny,Nz); % [dB/(MHz^y cm)] 2nd&#60;br /&#62;
medium.alpha_coeff(1:round(Nx/2),:,:)=0.01 ; % [dB/(MHz^y cm)] 1st&#60;br /&#62;
medium.alpha_power = 1.5;&#60;br /&#62;
medium.BonA = 6;&#60;/p&#62;
&#60;p&#62;% create the time array&#60;br /&#62;
t_end = 40e-6;                  % [s]&#60;br /&#62;
kgrid.makeTime(medium.sound_speed, [], t_end);&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% DEFINE THE INPUT SIGNAL&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% define properties of the input signal&#60;br /&#62;
source_strength = 1e6;          % [Pa]&#60;br /&#62;
tone_burst_freq = 0.5e6;        % [Hz]&#60;br /&#62;
tone_burst_cycles = 5;&#60;/p&#62;
&#60;p&#62;% create the input signal using toneBurst&#60;br /&#62;
input_signal = toneBurst(1/kgrid.dt, tone_burst_freq, tone_burst_cycles);&#60;/p&#62;
&#60;p&#62;% scale the source magnitude by the source_strength divided by the&#60;br /&#62;
% impedance (the source is assigned to the particle velocity)&#60;/p&#62;
&#60;p&#62;input_signal = (source_strength ./ (1000 .* 1134)) .* input_signal;&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% DEFINE THE ULTRASOUND TRANSDUCER&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% physical properties of the transducer&#60;br /&#62;
transducer.number_elements = 72;    % total number of transducer elements&#60;br /&#62;
transducer.element_width = 1;       % width of each element [grid points]&#60;br /&#62;
transducer.element_length = 12;     % length of each element [grid points]&#60;br /&#62;
transducer.element_spacing = 0;     % spacing (kerf width) between the elements [grid points]&#60;br /&#62;
transducer.radius = inf;            % radius of curvature of the transducer [m]&#60;/p&#62;
&#60;p&#62;% calculate the width of the transducer in grid points&#60;br /&#62;
transducer_width = transducer.number_elements * transducer.element_width ...&#60;br /&#62;
    + (transducer.number_elements - 1) * transducer.element_spacing;&#60;/p&#62;
&#60;p&#62;% use this to position the transducer in the middle of the computational grid&#60;br /&#62;
transducer.position = round([1, Ny/2 - transducer_width/2, Nz/2 - transducer.element_length/2]);&#60;/p&#62;
&#60;p&#62;% properties used to derive the beamforming delays&#60;br /&#62;
transducer.sound_speed = 1540;                  % sound speed [m/s]&#60;br /&#62;
transducer.focus_distance = 10e-3;              % focus distance [m]&#60;br /&#62;
transducer.elevation_focus_distance = 19e-3;    % focus distance in the elevation plane [m]&#60;br /&#62;
transducer.steering_angle = 0;                  % steering angle [degrees]&#60;/p&#62;
&#60;p&#62;% apodization&#60;br /&#62;
transducer.transmit_apodization = 'Rectangular';&#60;br /&#62;
transducer.receive_apodization = 'Rectangular';&#60;/p&#62;
&#60;p&#62;% define the transducer elements that are currently active&#60;br /&#62;
transducer.active_elements = zeros(transducer.number_elements, 1);&#60;br /&#62;
transducer.active_elements(21:52) = 1;&#60;/p&#62;
&#60;p&#62;% append input signal used to drive the transducer&#60;br /&#62;
transducer.input_signal = input_signal;&#60;/p&#62;
&#60;p&#62;% create the transducer using the defined settings&#60;br /&#62;
transducer = kWaveTransducer(kgrid, transducer);&#60;/p&#62;
&#60;p&#62;% print out transducer properties&#60;br /&#62;
transducer.properties;&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% DEFINE SENSOR MASK&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% create a binary sensor mask with four detection positions&#60;br /&#62;
sensor.mask = zeros(Nx, Ny, Nz);&#60;br /&#62;
sensor.mask([Nx/4, Nx/2, 3*Nx/4], Ny/2, Nz/2) = 1;&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% RUN THE SIMULATION&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% set the input settings&#60;br /&#62;
input_args = {'DisplayMask', transducer.all_elements_mask &#124; sensor.mask, ...&#60;br /&#62;
    'PMLInside', false, 'PlotPML', false, 'PMLSize', [PML_X_SIZE, PML_Y_SIZE, PML_Z_SIZE], ...&#60;br /&#62;
    'DataCast', DATA_CAST, 'PlotScale', [-1/2, 1/2] * source_strength};&#60;/p&#62;
&#60;p&#62;% run the simulation&#60;br /&#62;
[sensor_data] = kspaceFirstOrder3D(kgrid, medium, transducer, sensor, input_args{:});&#60;/p&#62;
&#60;p&#62;% calculate the amplitude spectrum of the input signal and the signal&#60;br /&#62;
% recorded each of the sensor positions&#60;br /&#62;
[f_input, as_input] = spect([input_signal, zeros(1, 2 * length(input_signal))], 1/kgrid.dt);&#60;br /&#62;
[~, as_1] = spect(sensor_data(1, :), 1/kgrid.dt);&#60;br /&#62;
[~, as_2] = spect(sensor_data(2, :), 1/kgrid.dt);&#60;br /&#62;
[f, as_3] = spect(sensor_data(3, :), 1/kgrid.dt);&#60;/p&#62;
&#60;p&#62;% =========================================================================&#60;br /&#62;
% VISUALISATION&#60;br /&#62;
% =========================================================================&#60;/p&#62;
&#60;p&#62;% plot the input signal and its frequency spectrum&#60;br /&#62;
figure;&#60;br /&#62;
subplot(2, 1, 1);&#60;br /&#62;
plot((0:kgrid.dt:(length(input_signal) - 1) * kgrid.dt) * 1e6, input_signal, 'k-');&#60;br /&#62;
xlabel('Time [\mus]');&#60;br /&#62;
ylabel('Particle Velocity [m/s]');
&#60;/p&#62;</description>
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