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

10/12/2021

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by   Yajun Zhou, et al.

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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(-iτ𝒢̂)|τ≥0} 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.