Scattering Properties of Spherical Time-Varying Conductive Shells

TL;DR

This paper investigates the scattering behavior of dielectric spheres coated with time-varying conductive shells, deriving analytical expressions and validating them through numerical examples, revealing unique scattering trends.

Contribution

It introduces a hybrid Mie theory and conversion matrix approach for analyzing harmonic generation in time-varying coated spheres, providing new analytical tools.

Findings

Validated analytical expressions with numerical methods

Revealed unique far- and near-field scattering trends

Explored convergence characteristics of the methods

Abstract

Harmonic generation in the scattered fields produced by a dielectric sphere coated with a time-varying conductive shell is studied using a Mie theory approach hybridized with conversion matrix methods. Analytic results are derived for plane wave incidence as well as in a more general transition matrix setting. An equivalent transmission line approach is also discussed. Numerical examples validate the derived expressions through comparison with purely numerical methods and convergence characteristics are explored. Several additional examples illustrate unique trends in far- and near-field scattering.