Simulating Backward Wave Propagation In Metamaterial With Radial Basis Functions

Electromagnetic metamaterial refers to an artificial composite material with certain unique electromagnetic properties.Its dielectric constant and magnetic permeability can be negative at the same time in a certain frequency band,which leads to its negative refractive index.Due to the verification of the properties of electromagnetic metamaterials The complexity of physical experiments is high,so numerical simulation plays a very important role in the study of electromagnetic metamaterials.This has caused many scholars to pay attention to the numerical methods for verifying the singular characteristics of electromagnetic metamaterials.The radial basis function meshless method is a new branch in the current numerical calculation method.It is a numerical method for solving partial differential equations developed in recent years.In this paper,the radial basis function meshless method for inverse wave propagation in metamaterials is studied.This paper first introduces the research background and the basic knowledge of the radial basis function.Second,the Maxwell equation is introduced,and the governing equations in metamaterials are derived,then use the radial basis function meshless method to discretize the governing equation,an iterative scheme algorithm for solving the equation by radial basis function meshless method is established.Finally,the propagation of electromagnetic waves in metamaterials is simulated by the related PML equations,the phenomena and the selection of radial basis functions and the selection of parameters are described in detail.The reverse propagation of electromagnetic waves in metamaterials is obtained by numerical examples.The effectiveness of the method is verified.