A new method to solve non-homogeneous wave equations of electromagnetic fields by fourier's triple integral transform

2nd International Conference on Materials Science, Energy Technology and Environmental Engineering

材料科学;能源学;生态环境科学

Hu, Wenjing^1

School of Electrical Engineering, Shandong University, Jinan

250061, China^1

关键词: Electromagnetic wave excitation;    Integral transform;    Integral transform method;    Mathematical problems;    Partial differential;    Scalar potential;    Three dimensions;    Time-varying electromagnetic fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/81/1/012210/pdf
DOI  :  10.1088/1755-1315/81/1/012210

来源: IOP

【 摘 要 】

This paper uses Fourier's triple integral transform method to simplify the calculation of the non-homogeneous wave equations of the time-varying electromagnetic field. By adding several special definite conditions to the wave equation, it becomes a mathematical problem of definite condition. Then by using Fourier's triple integral transform method, this three-dimension non-homogeneous partial differential wave equation is changed into an ordinary differential equation. Through the solution to this ordinary differential equation, the expression of the relationship between the time-varying scalar potential and electromagnetic wave excitation source is developed precisely. This method simplifies the solving process effectively.