# 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} }

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.

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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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