On a Steklov spectrum in Electromagnetics
Analysis of PDEs
2022-06-20 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on analogous problems for time-harmonic Maxwell's equations in a cavity. In this direction, we discuss recent rigorous results concerning natural Steklov boundary value problems for the curlcurl operator. Moreover, we explicitly compute eigenvalues and eigenfunctions in the unit ball of the three-dimensional Euclidean space by using classical vector spherical harmonics.
Keywords
Cite
@article{arxiv.2206.00505,
title = {On a Steklov spectrum in Electromagnetics},
author = {Francesco Ferraresso and Pier Domenico Lamberti and Ioannis G. Stratis},
journal= {arXiv preprint arXiv:2206.00505},
year = {2022}
}