Zhang Xiaofeng, Song Zhiguang, Chen Dongmei, Zhang Guangbin, Cao Hui
State Ultrasonics Key Laboratory of Shaanxi Province, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, People's Republic of China.
J Acoust Soc Am. 2015 Apr;137(4):1826-33. doi: 10.1121/1.4916699.
This paper focuses on studying the interaction between an acoustical Gaussian beam and cylindrical particles. Based on the finite series method, the Gaussian beam is expanded as cylindrical functions and the beam coefficient of a Gaussian beam is obtained. An expression for the acoustic radiation force function that is the radiation force per unit energy density and unit cross-sectional surface area for a cylinder in a Gaussian beam is presented. Numerical results for the radiation force function of a Gaussian beam are presented for rigid cylinders, liquid cylinders, elastic cylinders, and viscoelastic cylinders to illustrate the theory. The radiation force function versus the dimensionless frequency ka (where k is the wave number and a is the radius of the cylinder) are discussed for different beam waists. The simulation results show the differences from those of a plane wave when the beam waist w0≤5λ (where λ is the wave length). The beam waist has no effects on the radiation force function when ka<1, while the beam waist has greater effects when ka>1. The radiation force function reaches the plane wave limit when w0>5λ. The acoustic radiation force function is also determined by the parameters of the particles.
本文着重研究声学高斯光束与圆柱形粒子之间的相互作用。基于有限级数法，将高斯光束展开为柱面函数并得到高斯光束的光束系数。给出了声学辐射力函数的表达式，该函数为高斯光束中圆柱体单位能量密度和单位横截面积的辐射力。给出了刚性圆柱体、液体圆柱体、弹性圆柱体和粘弹性圆柱体的高斯光束辐射力函数的数值结果以阐明该理论。针对不同的束腰，讨论了辐射力函数与无量纲频率ka（其中k为波数，a为圆柱体半径）的关系。模拟结果表明，当束腰w0≤5λ（其中λ为波长）时，与平面波的结果存在差异。当ka<1时，束腰对辐射力函数没有影响，而当ka>1时，束腰的影响更大。当w0>5λ时，辐射力函数达到平面波极限。声学辐射力函数还由粒子的参数决定。
