• Corpus ID: 238634680

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

@article{Zhou2021QuantitativeSA,
  title={Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions},
  author={Yajun Zhou},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.06092}
}
  • Yajun Zhou
  • Published 12 October 2021
  • Computer Science, Physics, Mathematics
  • ArXiv
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(−iτ Ĝ )|τ ≥0} on polynomial compactness and the Arendt– Batty–Lyubich–Vũ theorem. The strongly-stable evolution semigroup inspires our proposal of a nonperturbative method to solve the light scattering problem and improve the Born approximation. 

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1 2 O ct 2 02 1 QUANTITATIVE SPECTRAL ANALYSIS OF ELECTROMAGNETIC SCATTERING
  • 2021
We perform quantitative spectral analysis on the Born equation, an integral equation for electromagnetic scattering that descends from the Maxwell equations. We establish norm bounds for the Green

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