A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media
Mathematical Physics
2020-08-04 v1 Numerical Analysis
math.MP
Numerical Analysis
Abstract
A matrix basis formulation is introduced to represent the 3 x 3 dyadic Green's functions in the frequency domain for the Maxwell's equations and the elastic wave equation in layered media. The formulation can be used to decompose the Maxwell's Green's functions into independent TE and TM components, each satisfying a Helmholtz equation, and decompose the elastic wave Green's function into the S-wave and the P-wave components. In addition, a derived vector basis formulation is applied to the case for acoustic wave sources from a non-viscous fluid layer.
Keywords
Cite
@article{arxiv.2008.01047,
title = {A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media},
author = {Wenzhong Zhang and Bo Wang and Wei Cai},
journal= {arXiv preprint arXiv:2008.01047},
year = {2020}
}