Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions
Abstract
We carry out quantitative studies on the Green operator G associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup \(-iτ G)|τ≥0\ 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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