General and concise operator approach to the dyadic Green's function of layered media
Abstract
Dyadic Green's function is an important tool of computational photonics, giving deeper insights into light-matter interaction. We present an operator approach to the derivation of the dyadic Green's function of a generic anisotropic planarly-layered medium for both electric and magnetic fields. The resulting Green's function is expressed through the evolution operators (a kind of transfer matrices) of the comprising layers and the surface impedance tensors, the singular term being naturally separated from other terms. The operator approach to the Green's function simplifies both the conceptual understanding of the problem and the subsequent practical applications, some of which are demonstrated here. The proposed approach can be easily generalized to the case of spherical and cylindrical layers, as well as bi-anisotropic layered media. The obtained results can be applied in nanophotonics engineering problems.
Versions
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BibTeX
@misc{arlouski2026general,
title = {{General and concise operator approach to the dyadic Green's function of layered media}},
author = {Aliaksandr Arlouski and Lei Gao and Dongliang Gao and Andrey Novitsky},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2605.12346},
eprint = {2605.12346},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.12346},
}
RIS
TY - UNPB
TI - General and concise operator approach to the dyadic Green's function of layered media
AU - Aliaksandr Arlouski
AU - Lei Gao
AU - Dongliang Gao
AU - Andrey Novitsky
PY - 2026
DA - 2026/07/16
PB - arXiv
DO - 10.48550/arxiv.2605.12346
UR - https://arxiv.org/abs/2605.12346
AB - Dyadic Green's function is an important tool of computational photonics, giving deeper insights into light-matter interaction. We present an operator approach to the derivation of the dyadic Green's function of a generic anisotropic planarly-layered medium for both electric and magnetic fields. The resulting Green's function is expressed through the evolution operators (a kind of transfer matrices) of the comprising layers and the surface impedance tensors, the singular term being naturally separated from other terms. The operator approach to the Green's function simplifies both the conceptual understanding of the problem and the subsequent practical applications, some of which are demonstrated here. The proposed approach can be easily generalized to the case of spherical and cylindrical layers, as well as bi-anisotropic layered media. The obtained results can be applied in nanophotonics engineering problems.
ER -