Quantitative spectral analysis of electromagnetic scattering. I: $ L^2$ and Hilbert-Schmidt norm bounds
Mathematical Physics
2021-10-14 v3 Materials Science
Numerical Analysis
math.MP
Numerical Analysis
Optics
Abstract
We perform quantitative spectral analysis on the Born equation, an integral equation for electromagnetic scattering that descends from the Maxwell equations. We establish norm bounds for the Green operator associated with the Born equation, thereby providing numerical tools for error estimates of the Born approximation to light scattering problems.
Keywords
Cite
@article{arxiv.1007.4375,
title = {Quantitative spectral analysis of electromagnetic scattering. I: $ L^2$ and Hilbert-Schmidt norm bounds},
author = {Yajun Zhou},
journal= {arXiv preprint arXiv:1007.4375},
year = {2021}
}
Comments
30 pages, 2 TikZ figures. Upgraded from part of arXiv:0911.4540v1 and arXiv:1007.4375v2, with tighter bounds on norms. (The remaining subsets of arXiv:0911.4540v1 and arXiv:1007.4375v2 are abridged into arXiv:0911.4540v4.)