Oblique Multiple Scattering by Gyrotropic Cylinders

TL;DR

This paper presents a comprehensive vectorial solution for 2.5-D electromagnetic multiple scattering by gyrotropic cylinders with arbitrary shapes, enabling advanced analysis and design of microwave and photonic devices considering oblique incidence and anisotropy.

Contribution

It introduces a novel superpotentials-based cylindrical vector wave function expansion combined with EBCM and Graf's formulas for gyrotropic cylinders of arbitrary shape at oblique incidence.

Findings

Validated with analytical and COMSOL results

Demonstrated broadband forward scattering with oblique incidence

Enabled detailed analysis of scattering characteristics

Abstract

In this work, we develop a full-wave vectorial solution for the 2.5-dimensional (2.5-D), i.e., at oblique plane wave incidence, electromagnetic (EM) multiple scattering (MS) by a collection of gyrotropic cylinders. All cylinders are infinitely long and share a common $z$-axis. However, each cylinder can have a different cross-section with an arbitrary shape and different gyrotropic material properties, i.e., both gyroelectric and gyromagnetic anisotropies are considered. The solution to the problem combines the following three elements: (i) development of a superpotentials-based cylindrical vector wave function (CVWF) expansion to express the EM field in the gyrotropic region; (ii) utilization of the extended boundary condition method (EBCM) to account for non-circular cylinders; (iii) use of Graf's formulas, specifically adapted for the CVWFs, to apply the EBCM at each cylinder. The developed theory allows us to calculate various scattering characteristics, including the scattering and extinction cross-sections and the multipole decomposition, enabling the design and in-depth investigation of various contemporary engineering and physics applications. The method is exhaustively validated with analytical techniques and COMSOL Multiphysics. The computational performance is also discussed. Finally, we study a potential microwave application of the MS by ferrite configurations, and demonstrate broadband forward scattering by introducing oblique incidence and anisotropy. Our method may be used to analyze, design, and optimize contemporary microwave, optical, and photonic applications by beneficially tailoring the scattering properties via oblique incidence and anisotropy.