Mode Characterization for Planar and Corrugated Multilayer Structures via Scattering Matrix Analysis

TL;DR

This paper develops a stable scattering matrix approach for multilayer structures, enabling efficient mode characterization and distinguishing between different optical phenomena such as absorption and surface plasmons.

Contribution

It introduces a new stable scattering matrix construction and a figure of merit for rapid mode analysis in planar and corrugated multilayer systems.

Findings

Stable scattering matrix construction from Fresnel equations.

Effective mode characterization including surface plasmons.

A figure of merit for differentiating absorption and plasmonic phenomena.

Abstract

The construction of the unconditionally stable planar rank 2 scattering matrix for stratified systems is detailed from Fresnel equations. Several matrix decompositions and numerical calculations performed on the planar S matrix allow for the expedient characterization of purely absorbing, brewster, surface plasmon, and wave-guide modes. A figure of merit is presented from the decompositions of the scattering matrix constructed from the Chandezon method for corrugated surfaces. This figure of merit represents the hyper-area of the scattering matrix transform and allows for rapid distinguishability between lossy absorption phenomena, and surface plasmons. Some extension of this technique is possible for surface plasmon polaritons in the infrared region.