Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions
Mathematical Physics
2022-04-22 v2 Numerical Analysis
math.MP
Numerical Analysis
Optics
Abstract
We carry out quantitative studies on the Green operator associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup on polynomial compactness and the Arendt-Batty-Lyubich-V\~u theorem. The strongly-stable evolution semigroup inspires our proposal of a non-perturbative method to solve the light scattering problem and improve the Born approximation.
Cite
@article{arxiv.2110.06092,
title = {Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions},
author = {Yajun Zhou},
journal= {arXiv preprint arXiv:2110.06092},
year = {2022}
}
Comments
(v1) 22 pages, 3 TikZ figures. Continuation of arXiv:1007.4375v3. Updated from Chapter 5 and Appendix D in https://www.proquest.com/docview/634514288?accountid=13151 (v2) 22 pages, 3 TikZ figures. Accepted version with updated references