高斯波束对水中柱形粒子的声辐射力研究

根据级数展开理论，将入射高斯波束用柱函数展开，计算得到高斯波束的波束因子。根据声波辐射力理论，推导了水中位于高斯波束中心的柱形粒子在声场中的辐射力的解析表示式，对不同材料的柱形粒子在高斯波束作用下的声辐射力进行了数值模拟，讨论了高斯波束的束腰半径的变化对柱形物体所受声波辐射力的影响。仿真结果表明，高斯波束的束腰半径对声辐射力有影响，随着束腰半径的增大，位于波束中心的柱形粒子所受的声辐射力逐渐变大，当束腰半径远大于声波在水中的波长时，声辐射力的大小接近平面波声场的声辐射力。

Research on the Acoustic Radiation Force of Gaussian Beam Incident on the Cylindrical Particles in Water

Using series expansion theory, the incident Gaussian beam was expanded with cylindrical harmonics function and the beam factor of the Gaussian beam was obtained. According to the theory of acoustic radiation force, analytical expression for acoustic radiation force experienced by a cylindrical particle immersed in water and located in the center of the Gaussian beam was deduced. The acoustic radiation force experienced for cylindrical particles of different materials was computed, and the variation of the radiation force function caused by the beam width was discussed. The results of numerical calculations showed that the waist radius had effect on the acoustic radiation function. With the increasing of the waist radius, the acoustic radiation force experienced by the cylinders gradually increased. When the waist radius was larger than the wavelength in the water, the radiation force of the Gaussian beam was nearly the same with the plane wave.