摘要
声场分布一般使用Fresnel积分或瑞利表面积分来计算.由于这类积分的强烈振荡性,直接数值积分,即通常的广义点源叠加方法(GPSS),计算比较复杂.Wen和Breazeale将声源分布函数表示成一组高斯函数之和,从而场积分简化为一组高斯束函数叠加,避开了复杂的数值积分.Spies等将此方法推广应用到圆形活塞换能器在横向各向同性固体中的声场分布的计算.本文在Spies等人的研究基础上提出了一种计算任意分布矩形活塞换能器在各向异性(横向各向同性)介质中声场分布的方法,突破了以往对于换能器必须是圆形轴对称的限制.这种方法较GPSS更为简单且有效.
The Fresnel integral and Rayleigh's surface integral are known to calculate the distribution of radiation fields. Due to intense oscillation of these integral, calculation using direct numerical integral, i. e. , GPSS (the generalized point source synthesis method), is complex. Wen and Breazeale signify the function of source distribution by sum of a series of Gaussian functions, which simplifies the field integral to the superposition of a series of Gaussian beams and avoids the complex numerical integral. Spies expands the theory to calculate the field distribution of circular piston transducer in transversely isotropic media. Based on Spies' study, a method for calculating arbitrary distribution and radiation fields of rectangular piston transducer in anisotropic media (transversely isotropic) is given, breaking through the limit of circular axisyrmmetry piston. This method is more convenient and effective than GPSS.
出处
《电子器件》
CAS
2007年第1期180-182,185,共4页
Chinese Journal of Electron Devices
基金
国家自然科学基金资助(10274010)
关键词
声场辐射
高斯束
函数展开
各向异性
矩形活塞
radiation fields
Gaussian beam
function expansion
anisotropic media
rectangular piston transducer