# Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions

@article{Zhou2022QuantitativeSA,
title={Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions},
author={Yajun Zhou},
journal={ArXiv},
year={2022},
volume={abs/2110.06092}
}
• Yajun Zhou
• Published 12 October 2021
• Mathematics
• ArXiv
We carry out quantitative studies on the Green operator Ĝ associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup {exp(−iτ Ĝ )|τ ≥0} on polynomial compactness and the Arendt– Batty–Lyubich–Vũ theorem. The strongly-stable evolution semigroup inspires our proposal of a nonperturbative method to solve the light scattering problem and improve the Born approximation.
1 Citations

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1 2 O ct 2 02 1 QUANTITATIVE SPECTRAL ANALYSIS OF ELECTROMAGNETIC SCATTERING
• Mathematics
• 2021
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

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