Scattering of Gaussian beam from a Perfect Electromagnetic Conductor (PEMC) spheroid coated by dielectric material

Abstract

This research paper presents an exact analytic solution to the problem of Scattering of Gaussian beam by a Perfect Electromagnetic Conductor (PEMC) spheroid coated by a dielectric material using Mie theory. Perfect Electromagnetic Conductor (PEMC) medium is used as a special type of meta-material which is a generalization of the well-known concepts of Perfect Electric Conductor (PEC) and Perfect Magnetic Conductor (PMC). One of the basic characteristics of PEMC medium is its admittance type parameter M. This parameter acts as a basis in deciding the natures of medium as the PEC or PMC. The analytical expressions were derived in terms of spheroidal vector wave functions, for exploring the incident, scattered and transmitted Gaussian beam fields. Scattering and transmission coefficients were obtained by using boundary conditions at free space-dielectric and dielectric-PEMC interfaces. However, these coefficients were used to calculate the radar cross section (Backscattering cross section) and Bi-static cross section of Perfect Electromagnetic Conductor (PEMC). Backscattering cross section and Bi-static cross section were also discussed by effect of parameter M. The result obtained in this investigation were compared with the unveil data to verify the validity of the analytical expressions.