Li Shuyuan, Shi Jingyao, Zhang Xiaofeng, Zhang Guangbin
Shaanxi Key Laboratory of Ultrasonics, School of Physics & Information Technology, Shaanxi Normal University, Xi'an, 710119, People's Republic of China.
J Acoust Soc Am. 2019 May;145(5):3233. doi: 10.1121/1.5109391.
In this paper, an expression for the acoustic radiation force on a sphere located on the axis of a zero-order Mathieu beam propagating in an ideal fluid is obtained. The simulation results of different kinds of spherical particles, including rigid spheres, fluid spheres, and elastic spheres, are presented to illustrate the theory. Curves of the acoustic radiation force function versus ka are obtained for different half-cone angles β and ellipticity parameters q of the Mathieu beam. The simulation results reveal that β and q have a direct effect on the acoustic radiation force exerted on a spherical object in an ideal fluid. The acoustic radiation force has negative values for a fluid sphere in a zero-order Mathieu beam when the half-cone angle is β≥60°. The value of the half-cone angle β also affects the direction of the acoustic radiation force for an elastic sphere. When the half-cone angle is set as a constant, the greater the ellipticity parameter is, the slower the decrease in the value of the acoustic radiation force function for a spherical particle. The conclusions of this work may be helpful for the design of acoustic tweezers and may also extend the potential applications of acoustic manipulation technology.
本文得到了在理想流体中传播的零阶马蒂厄光束轴线上的球体所受声辐射力的表达式。给出了包括刚性球体、流体球体和弹性球体在内的不同种类球形粒子的模拟结果，以阐明该理论。针对马蒂厄光束不同的半锥角β和椭圆率参数q，得到了声辐射力函数与ka的关系曲线。模拟结果表明，β和q对理想流体中球形物体所受的声辐射力有直接影响。当半锥角β≥60°时，零阶马蒂厄光束中流体球体所受的声辐射力为负值。半锥角β的值也会影响弹性球体声辐射力的方向。当半锥角设定为常数时，椭圆率参数越大，球形粒子的声辐射力函数值下降越慢。这项工作的结论可能有助于声镊的设计，也可能扩展声操控技术的潜在应用。
