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

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posted on 2023-01-12, 14:12 authored by Yajun Zhou
We carry out quantitative studies on the Green operator $ \hat{\mathscr G}$ associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup $\{\exp(-i\tau\hat{\mathscr G})|\tau\geq0\} $ 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.



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