高斯束展开法的注记之三：辐射阻抗的简化计算

摘要

进一步给出高斯束展开法的推广。将文献中圆形函数的高斯函数展开作为已知结果，通过简单的数学变换，将贝塞尔函数和n阶Struve函数等特殊函数表示成高斯函数或其他简单函数的叠加。利用这一方法，计算了声学中一类活塞型声源的归一化辐射阻抗函数。与特殊函数的直接计算结果相比，这种方法给出了相当一致的结果。%A further extension to the Gaussian-beam expansion is alternatively presented. With a well-known result that the circ function is approximated by a sum of Gaussian functions,the Bessel functions of the first kind and the Struve functions of the order n are similarly expanded by some simple mathematical transforms. The approach is widely applied to the sound radiation problem for a large and important group of sources in acoustics. As examples , the numerical results for the radiation impedance from some piston-like sources are given,in a good agreement with those by directly numerical computation of the special functions.