一个准解析时域Mie解用于均匀球体的散射
A Quasianalytical Time Domain Mie Solution for Scattering from a Homogeneous Sphere
AI总结：
本文提出一种无网格、无奇点的时域积分方程框架，用于求解声软、声刚和穿透性球体的散射问题，通过时间域格林函数展开实现空间和时间卷积的独立计算，验证了方法在宽带模拟中的准确性和收敛性。
摘要：
在无网格和无奇点的时域积分方程（TDIE）框架内，推导出一种瞬态Mie-like解，用于求解球体的声散射问题。该方法基于时间域格林函数的展开，允许独立评估空间和时间卷积。通过将积分方程在空间和时间上离散化，形成矩阵系统，并利用Marching on in Time算法求解。空间离散化使用 tesseral 傅里叶级数导致空间积分的闭式表达式，而严格带限的时间插值允许高效准确地计算时间卷积，利用数值积分。这些积分的准确性确保了后期时间的稳定性和解卷积数据的准确性。所呈现的结果验证了该方法在宽带模拟中的准确性和收敛性，与傅里叶变换的解析数据相对比。
英文摘要：
A transient Mie-like solution for acoustic scattering from a spherical object is derived within a mesh-free and singularity-free Time Domain Integral Equation (TDIE) framework for the sound-soft, sound-rigid and penetrable cases. The method is based on an expansion of the time domain Green's function that allows independent evaluation of spatial and temporal convolutions. Solution of the TDIE system may be effected by descretizing the integral equations in space and time, forming a matrix system via the Method of Moments, and solving the system with the Marching on in Time algorithm. Spatial discretization using tesseral harmonics leads to closed form expressions for spatial integrals, and use of a strictly band limited temporal interpolant permits efficient, accurate computation of temporal convolutions utilizing numerical quadrature. The accuracy of these integrations ensures late time stability and accuracy of the deconvolution data. Results presented demonstrate the accuracy and convergence of the approach for broadband simulations against Fourier transformed analytical data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
