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

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 $\{\exp(-iτ\hat{\mathscr G})|τ\geq0\}$ on polynomial compactness and the Arendt-Batty-Lyubich-Vũ 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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