摘要
以声波理论为基础,在圆柱的中心点将高斯声波用柱函数展开,计算入射高斯声波的展开系数,求解在高斯声场中柱形粒子所受声辐射力的表达式.通过数值仿真研究了频率、波束宽度、柱形粒子偏离高斯波束中心的距离等参数对声辐射力的影响.仿真结果表明:在ka<1的情况下,当柱形粒子沿x轴的正方向偏离波束中心时,所受的声辐射力为负值,当柱形粒子沿x轴的负方向偏离波束中心时,所受的声辐射力为正值;ka>1时,粒子所受的声辐射力随着粒子位置偏离波束中心距离的增大逐渐减小,且辐射力的方向均沿x轴的正方向;随着波束宽度的增大,声辐射力的值增大,当波束宽度相对波长较大(W0=10λ)时,高斯波束声辐射力的大小接近于平面波声场的声辐射力.
Based on acoustic theory,the Gaussian beam is expanded with cylindrical wave function at the center of the cylinder and the expanded coefficients of the incident Gaussian beam is calculated.The analytical expression for acoustic radiation force on the cylindrical particles induced by the Gaussian beam is deduced.The variation of acoustic radiation force affected by the frequency,the beam waist of the Gaussian beam and the offset distance from the Gaussian beam center are investigated by numerical simulations.The results show that in the case ka〈1 the acoustic radiation force is negative when the offset distance is positive.The acoustic radiation force is positive when the the offset distance is negative.For ka〉1 the value of the radiation force gradually decreases with the offset distance,and the direction of the radiation force is along the positive direction of x-axis.Moreover,the acoustic radiation force increases with the width of beam,and when the beamwidth is larger than the wavelength（W0 =10λ）,the radiation force of the Gaussian beam is close to the value of the plane wave.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期27-32,共6页
Journal of Shaanxi Normal University：Natural Science Edition
基金
陕西省自然科学基金资助项目(2012JM1013)
陕西师范大学研究生创新基金项目(2013CXS010)
中央高校基本科研业务费专项资金项目(GK201302049)
关键词
高斯波束
偏移距离
柱形粒子
波束宽度
声辐射力
Gaussian beam
offset distance
cylindrical particles
beam width
acoustic radiation force
