Integral Representations for Modeling Core-shell Particle-based Photonics Applications

Abstract

In this work we develop a technique for the electromagnetic (EM) modeling of non spherical isotropic core-gyroelectric shell structures. To this end, we employ a formulation based on appropriate integral representations of the EM fields, in conjunction with spherical vector wave function (SVWF) expansions. Utilizing the boundary conditions on the inner core-shell surface, as well as on the outer shell’s surface, we obtain infinite sets of linear nonhomogeneous equations from which the expansion coefficients of the internal and scattered fields are computed. Validity tests are performed for the developed method and numerical results are given for shape perturbations of a recently proposed spherical core-shell-based photonics application.