Rough Surface Scattering Problem Based On Maxwell's Equation

In recent years,with the continuous development of electromagnetics and other theories,more and more new theories and technologies are applied to the development of people's livelihood and national defense security.Therefore,it is of great significance to study the mathematical theory and calculation method of electromagnetic scattering and inverse scattering.In this paper,the composite scattering of electromagnetic wave incident on an unbounded rough surface and an obstacle is studied,the purpose of this paper is to analyze the influence of rough surface and obstacle on electromagnetic wave field distribution.Firstly,Maxwell curl equation is introduced,and then the discretetime finite-difference time-domain method is obtained by using the ? method.For the composite scattering problem described by Maxwell equation in time domain with appropriate boundary conditions.Combined with the UPML,the Maxwell curl equation of UPML layer in two-dimensional insulating medium and two-dimensional conductive medium is derived from Maxwell curl equation of UPML layer in threedimensional insulating medium and three-dimensional conductive medium.Then,the equation is discretized by using the finite difference method with ?,and the scattering problem is solved effectively.The output boundary is introduced and derived.Then,the numerical dispersion problem that should be paid attention to when using FDTD method and the appropriate selection of discrete interval are analyzed.Finally,the influence of the shape and parameters of rough surface and obstacle on the scattering field is further studied.