Measurement-based simulation of temperature rise from focused and linear ultrasound fields and its validation with experiments

Figure 4 Reconstructed complex source pressure distribution in pascals.Note: Pixel pitch in lateral directions are 0.3 mm.File name: source_estimate.mat Figure 6 Data (measurement and simulation), for lateral beam profiles (x and y) is organised as follows:Column 1: Position in millimetres Column 2: Pressure along x-axis in pascalsColumn 3: Pressure along y-axis in pascals Measurement files:Lateral_1p1W_Meas.datLateral_2p2W_Meas.datLateral_3p3W_Meas.datLateral_4p3W_Meas.dat Simulation files:Lateral_1p1W_Sim.datLateral_2p2W_Sim.datLateral_3p3W_Sim.datLateral_4p3W_Sim.dat Data (measurement and simulation), for axial beam profiles is organised as follows:Column 1: Position in millimetres Column 2: Pressure along z-axis in pascals Measurement files:Axial_4p3W_Meas.dat Simulation files:Axial_4p3W_Sim.dat Figure 7 Spatial temperature maps from simulations. Note1: Pixel pitch in axial and lateral directions are 0.075 mm.Note2: Subtract background temperature (19.1 C) to obtain the temperature-rise plotted in Figure. 7. Transducer on for 2 mins at 4W:File name: T_on_xz_plane_4W2min.matTransducer off:File name: T_off_xz_plane_4W2min.mat Figure 8 Temperature-time plots from the measurements and simulations.For all files (measurement and simulation), the data is organised as follows:Column 1: Time steps in 1 second intervalColumn 2: Temperature at TC0 in degree CelsiusColumn 3: Temperature at TC1 in degree CelsiusColumn 4: Temperature at TC2 in degree CelsiusColumn 5: Temperature at TC3 in degree CelsiusMeasurement files:Measurement_1W-2min.datMeasurement_2W-3min.datMeasurement_3W-3min.datMeasurement_4W-2min.datSimulation files:Simulation_1W-2min.datSimulation_2W-3min.datSimulation_3W-3min.datSimulation_4W-2min.dat Supplementary Material Figure 9 The acoustic pressure distribution in the water-TMM media in x-z and y-z planes. Note: Pixel pitch in axial and lateral directions are 0.075 mm.Simulation files:p_xz.matp_yz.matUnits in pascals. Supporting Data Files File name: sensor_pressure_field.datUnits in pascals.Description: Measured complex pressure field using a hydrophone at a source-hydrophone separation distance of 30 microseconds (time-of-flight) in water at 19.1 degree Celsius. File name: tmm_pressure_field.matUnits in pascals.Description: The pressure field (amplitude in pascals) in the TMM used in the thermal diffusion simulations.图4 以帕斯卡（pascals）为单位的重构复源压力分布。注：横向像素间距为0.3毫米（millimetres）。文件名：source_estimate.mat 图6 横向波束剖面（x轴与y轴）的实测与仿真数据，组织格式如下： 第1列：位置，单位为毫米 第2列：x轴方向压力，单位为帕斯卡 第3列：y轴方向压力，单位为帕斯卡 实测文件： Lateral_1p1W_Meas.dat Lateral_2p2W_Meas.dat Lateral_3p3W_Meas.dat Lateral_4p3W_Meas.dat 仿真文件： Lateral_1p1W_Sim.dat Lateral_2p2W_Sim.dat Lateral_3p3W_Sim.dat Lateral_4p3W_Sim.dat 轴向波束剖面的实测与仿真数据组织格式如下： 第1列：位置，单位为毫米 第2列：z轴方向压力，单位为帕斯卡 实测文件：Axial_4p3W_Meas.dat 仿真文件：Axial_4p3W_Sim.dat 图7 仿真得到的空间温度场分布。 注1：轴向与横向像素间距均为0.075毫米。 注2：需减去背景温度（19.1摄氏度（degree Celsius））后，即可得到图7中绘制的温升数据。 换能器以4 W功率持续开启2分钟的相关文件：文件名T_on_xz_plane_4W2min.mat 换能器关闭时的相关文件：文件名T_off_xz_plane_4W2min.mat 图8 实测与仿真得到的温度-时间曲线。所有实测与仿真数据的组织格式如下： 第1列：以1秒为间隔的时间步长 第2列：TC0测点的温度，单位为摄氏度 第3列：TC1测点的温度，单位为摄氏度 第4列：TC2测点的温度，单位为摄氏度 第5列：TC3测点的温度，单位为摄氏度 实测文件： Measurement_1W-2min.dat Measurement_2W-3min.dat Measurement_3W-3min.dat Measurement_4W-2min.dat 仿真文件： Simulation_1W-2min.dat Simulation_2W-3min.dat Simulation_3W-3min.dat Simulation_4W-2min.dat 补充材料 图9 水-TMM介质中x-z平面与y-z平面内的声压分布。注：轴向与横向像素间距均为0.075毫米。仿真文件：p_xz.mat、p_yz.mat。单位为帕斯卡。 支撑数据文件 文件名：sensor_pressure_field.dat。单位为帕斯卡。说明：在19.1摄氏度的水中，使用水听器在源与水听器的飞行时间（time-of-flight）为30微秒（microseconds）的间距下测得的复压力场。 文件名：tmm_pressure_field.mat。单位为帕斯卡。说明：用于热扩散仿真的TMM介质内的压力场（幅值单位为帕斯卡）。