Quantitative spectral analysis of electromagnetic scattering. I: $L^2$ and Hilbert-Schmidt norm bounds

Abstract

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 operator associated with the Born equation, thereby providing numerical tools for error estimates of the Born approximation to light scattering problems.

30 pages, 2 TikZ figures. Upgraded from part of arXiv:0911.4540v1 and arXiv:1007.4375v2, with tighter bounds on norms. (The remaining subsets of arXiv:0911.4540v1 and arXiv:1007.4375v2 are abridged into arXiv:0911.4540v4.)

References in corpus (2)

• The discrete dipole approximation: an overview and recent developments
• Spectrum of the volume integral operator of electromagnetic scattering

Cited by in corpus (1)

• Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics