Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions
We carry out quantitative studies on the Green operator π’Μ associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup {exp(-iΟπ’Μ)|Οβ₯0} on polynomial compactness and the Arendt-Batty-Lyubich-VΕ© 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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