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		<title>k-Wave User Forum &#187; Topic: Thermo-acoustic simulation with annular transducer</title>
		<link>http://www.k-wave.org/forum/topic/thermo-acoustic-simulation-with-annular-transducer</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Thu, 14 May 2026 00:03:58 +0000</pubDate>
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			<title>Crispi99 on "Thermo-acoustic simulation with annular transducer"</title>
			<link>http://www.k-wave.org/forum/topic/thermo-acoustic-simulation-with-annular-transducer#post-9177</link>
			<pubDate>Thu, 06 Feb 2025 11:24:57 +0000</pubDate>
			<dc:creator>Crispi99</dc:creator>
			<guid isPermaLink="false">9177@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Brad, hi community,&#60;br /&#62;
I'm simulating the thermo-acoustic field of an annular transducer, in a heterogeneous medium (a water tank and a small piece of fat in the focal region, in order to evaluate the thermal lesion). The source pressure is 175 kPa, the frequency is 1.5 MHz. The problem is that I obtain an extremely high (wrong) field of temperature, up to 1000 °C with a heating period of 5 s. I obtain a max intensity of 4691.1406 W/cm^2 and a max heat volume rate Q of 1212.9214 W/cm^3. Thus, maybe Q is excessive but I cannot explain why. This is the formula that I have considered:&#60;/p&#62;
&#60;p&#62;alpha_np = db2neper(medium.alpha_coeff, medium.alpha_power) .* (2 * pi * freq).^medium.alpha_power;&#60;br /&#62;
Q = alpha_np .* amp.^2 ./ (medium.density .* medium.sound_speed);&#60;/p&#62;
&#60;p&#62;Briefly, these are some parameters that I'm considering: &#60;/p&#62;
&#60;p&#62;% water medium parameters&#60;br /&#62;
c0              = 1500;     % sound speed [m/s]&#60;br /&#62;
rho0            = 1000;     % density [kg/m^3]&#60;br /&#62;
BonA            = 5.2;      % non linear parameter of the medium (B over A)&#60;br /&#62;
alpha_0         = 0;        % frequency-dependent absorption coefficient&#60;br /&#62;
alpha_y         = 2;        % power-law exponent of water&#60;/p&#62;
&#60;p&#62;% tissue medium parameters (fat tissue)&#60;br /&#62;
c0_t              = 1450;       % sound speed of tissue [m/s]&#60;br /&#62;
rho0_t            = 911;        % density of tissue [kg/m^3]&#60;br /&#62;
BonA_t            = 10;         % non linear parameter of tissue (B over A)&#60;br /&#62;
alpha_0_t         = 0.6;     % frequency-dependent absorption coefficient of tissue [dB/cm*MHz]&#60;br /&#62;
alpha_y_t         = 1.0861;     % power-law exponent of tissue&#60;/p&#62;
&#60;p&#62;axial_size      = 100e-3;   % total grid size in the axial dimension [m]&#60;br /&#62;
lateral_size    = 120e-3;   % total grid size in the lateral dimension [m]&#60;br /&#62;
x_tissue        = 30e-3;    % tissue dimension along x coordinate [m]&#60;br /&#62;
y_tissue        = 120e-3;    % tissue dimension along y coordinate [m]&#60;br /&#62;
z_tissue        = 120e-3;    % tissue dimension along z coordinate [m]&#60;br /&#62;
distance_t      = 70e-3;    % tissue distance from the transducer external surface [m]&#60;/p&#62;
&#60;p&#62;% thermal parameters&#60;br /&#62;
T0 = 20;                            % water initial temperature [°C]&#60;br /&#62;
thermal_conductivity = 0.6045;      % water thermal conductivity [W/(m.K)]&#60;br /&#62;
specific_heat        = 4178;        % water specific heat [J/(kg.K)]&#60;br /&#62;
T0_t = 20;                          % tissue initial temperature [°C]&#60;br /&#62;
thermal_conductivity_t = 0.211;     % tissue thermal conductivity [W/(m.K)]&#60;br /&#62;
specific_heat_t        = 2348.33;   % tissue specific heat [J/(kg.K)]&#60;br /&#62;
on_time  = 5;                       % source on time [s]&#60;br /&#62;
off_time = 20;                      % source off time [s]&#60;br /&#62;
dt_thermal = 0.1;                   % time step size of thermal simulation&#60;/p&#62;
&#60;p&#62;I thank you in advance for your attention!
&#60;/p&#62;</description>
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