Metamaterial Simulation Algorithm And Application Based On Volume Surface Integral Equation Method

As the structure of metamaterials has received more and more attention,the twodimensional form of metamaterials has become very important in the application of electromagnetic engineering because of its electromagnetic properties such as regulation of electromagnetic wave polarization and phase.It is of great significance and value to study high-efficiency numerical modeling and simulation solutions for such structures as metasurfaces.Metasurfaces are a class of structures with sub-wavelength complexities of mixed metal and thin media structures.It usually has the characteristics of uneven material distribution area and multi-scale.Therefore,a series of problems such as geometric modeling difficulties,low solution efficiency,poor matrix properties,and excessive memory resource consumption are prone to occur in the electromagnetic scattering problem of metasurface structures.This thesis systematically summarizes and studies the theory and application of the volume-surface integral equation method,and conducts a series of studies aiming at the problems existing in the electromagnetic analysis of metasurface structures by the current volume-surface integral equation method.For the thin medium part,the electromagnetic scattering properties of the metasurface are solved and calculated by combining the introduced simplified prism vector basis function with the volume-surface integral equation method.The construction of this simplified prism vector basis function facilitates the geometric meshing of metasurface structures,reduces unknowns and memory consumption,and improves the ability to solve such electromagnetic problems.The main research work of this thesis is as follows:First,on the basis of the simplified vector prism basis function,the electromagnetic scattering problems of thin pure dielectric structures and mixed metal and thin dielectric structures are solved by the method combined with the volume-surface integral equation.Then,the traditional SWG basis functions are compared and analyzed,such as the inflexibility of grid meshing for thin dielectric structures,and the need for many unknowns to ensure accuracy,which highlights the advantages of simplified vector prism basis functions for thin dielectric structures.Secondly,the radar cross section of the metasurface is solved by the volume-surface integral equation method based on the simplified prism vector basis functions.At the same time,it compares and analyzes the advantages and disadvantages of the two basis functions with the volume-surface integral equation method based on traditional SWG basis functions.Finally,the volume-surface integral equation method combined with the simplified prism vector basis function is applied to the metasurface structures to analyze the electromagnetic scattering properties.The pattern of the three-dimensional scattering field of the metasurface,the deflection of the beam,the different dielectric constants,and the effects of changing the arrangement and layout of the metasurface on its own scattering characteristics are solved and analyzed.