基于留数定理的时域电磁场数值积分计算系统设计

Design of residue theorem based numerical integral calculation system for electromagnetic field in time domain

针对传统电磁场数值计算系统的计算结果与理论值的均方误差较大的问题,设计基于留数定理的时域电磁场数值积分计算系统。在传统计算系统硬件的基础上,设计以FPGA为核心的积分计算系统硬件。以设计的系统硬件部分为基础,设计系统的软件部分。使用傅里叶变换将频域电磁场信号转换为时域信号,根据留数定理,编写程序对时域内的电磁信号函数积分求解,完成对计算系统的设计。通过与传统的电磁场数值计算系统的对比实验,证明了设计的基于留数定理的时域电磁场数值积分计算系统的均方误差更小,更具有优越性。

In allusion to the problem that the mean square error between the calculated results and the theoretical values of the traditional electromagnetic field numerical calculation system is large,a residue theorem based numerical integral calculation system for electromagnetic field in time domain is designed,from which the hardware of the traditional calculation system is reserved,and the hardware of the integral calculation system with FPGA as the core is designed.Based on the designed hardware part of the system,the software part of the system is designed.The Fourier transform is used to convert electromagnetic field signals in the frequency domain into signals in the time domain.A program is written according to the residue theorem to solve the electromagnetic signal function integral in time domain,and complete the design of the calculation system.The experimental results prove that,in comparison with the traditional electromagnetic field numerical calculation system,the designed residue theorem based numerical integral system for electromagnetic field in time domain has smaller mean square error and more advantages.