On Multiple Scattering of Radiation by an Infinite Grating of Dielectric Circular Cylinders at Oblique Incidence

TL;DR

This paper derives a rigorous analytical model for multiple electromagnetic scattering by an infinite array of dielectric cylinders at oblique incidence, linking individual cylinder scattering to the overall grating response.

Contribution

It introduces a comprehensive analytical framework connecting single-cylinder scattering coefficients with the collective scattering in a dielectric grating at oblique angles.

Findings

Analytical expressions for multiple scattering coefficients derived.

Generalized grating equation formulated for oblique incidence.

Framework applicable to design and analysis of dielectric gratings.

Abstract

A rigorous analytical representation for the multiple scattering coefficients of the fields radiated by an infinite grating of dielectric circular cylinders excited by an obliquely incident plane electromagnetic wave is derived in terms of the "well-known scattering coefficients of an isolated dielectric cylinder at oblique incidence" and "Schl\"omilch series". In addition, a generalized sum-integral grating equation is acquired for the multiple scattered amplitude of a cylinder at oblique incidence in the grating in terms of the scattering coefficients of the insulating dielectric circular cylinder at oblique incidence.