Calculation of Dyadic Green's Function in the RBFNN-Based Layered Media

Xiaobing Han, Runrun Ren, Bingyang Liang, Yuanguo Zhou
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Abstract

The Dyadic Green's function, in general, is comprised of spectral Dyadic Green's functions and Sommerfeld integral. Since the integral featuring high-frequency oscillation and slow decay may lead to a time-consuming calculation process. With optimal approximation and global optimum characteristics that cannot be found in other feedforward neural networks, the RBF neural network is adopted in this paper to solve the dyadic Green function. By doing so, the efficiency of solving Dyadic Green's functions can be enhanced thanks to its simple structure and fast training speed. According to the numerical results, the calculation scheme proposed in this paper is proved to be feasible.
基于rbfnn的分层介质中并矢格林函数的计算
并矢格林函数一般由谱并矢格林函数和索默菲尔德积分组成。由于积分具有高频振荡和慢衰减的特点,计算过程很耗时。本文采用RBF神经网络求解并矢格林函数,该网络具有其他前馈神经网络所不具备的最优逼近和全局最优特性。这样可以提高Dyadic Green函数的求解效率,因为它结构简单,训练速度快。数值结果表明,本文提出的计算方案是可行的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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