Study of scattering for a PEMC sphere with Bessel beam illumination

An analysis of electromagnetic scattering by perfect electromagnetic conductor (PEMC) sphere using Bessel beam incidence is presented which is based on the generalized Lorenz-Mie theory (GLMT). The PEMC is famous for the generalization of the renowned concept of perfect electric and perfect magnetic conductor (PEC and PMC). The scattering problem is solved by representing the Bessel beam fields i.e., incident and scattered in the context of vector spherical wave functions (VSWFs). The unknown expansion field coefficients can be found out by solving linear equations which are attained from the implementation of boundary conditions (BCs) of PEMC sphere. Computations of the scattering cross-section (C-sca) and the extinction cross-section (C-ext) are performed. The impact on scattering and extinction cross-section for admittance parameter, conical angle, and sphere size parameter are analyzed. Considering a special case for conical angle i.e., (a = 0(?)), the numerical results of scattering cross-section for Bessel beam and plane wave are same.

Automated summary

This paper presents an analysis of electromagnetic scattering by a perfect electromagnetic conductor (PEMC) sphere using Bessel beam incidence, based on the generalized Lorenz-Mie theory (GLMT). The PEMC is a generalization of the concept of perfect electric and perfect magnetic conductor (PEC and PMC). The scattering problem is solved by representing the Bessel beam fields as vector spherical wave functions (VSWFs) and solving linear equations obtained from the boundary conditions (BCs) of the PEMC sphere. The computed scattering cross-section (C-sca) and extinction cross-section (C-ext) are used to analyze the impact of the admittance parameter, conical angle, and sphere size parameter. Moreover, it is found that for a special case of a conical angle of 0 degrees, the numerical results of the scattering cross-section for Bessel beam and plane wave are the same.