Construction of Planar Multilayer Dyadic Greens Functions by Fourier Expansion Method - Part I: Isotropic Media

TL;DR

This paper derives and validates a Fourier expansion-based method for constructing planar multilayer dyadic Greens functions in isotropic media, enabling accurate modeling of electromagnetic fields near layered structures.

Contribution

It introduces a novel Fourier expansion approach for dyadic Greens functions in multilayer isotropic media, facilitating advanced electromagnetic modeling.

Findings

Validated the Greens functions against existing results

Demonstrated application to arbitrary dipole orientations

Potential for modeling molecular fluorescence near layered structures

Abstract

In this paper, we have derived planar multilayer dyadic Greens functions by Fourier expansion method and have checked its correctness by comparing results for reflected electric fields from dipole emissions near such structures available in previous literature. Furthermore, we show how these dyadic Greens functions can be applied to calculate reflected fields from a dipole source with arbitrary orientations. We believe our formulation will be powerful in the modeling of molecular fluorescence near these structures.