Quantitative spectral analysis of electromagnetic scattering. I: L² and Hilbert-Schmidt norm bounds

2010/07/26 by Yajun Zhou, Zhou, Yajun
Engineering · Mathematics · Physics and Astronomy · #35Q61 #45E99 #47B10 #47B38 #78A45 #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optics (physics.optics)

paper · pdf · doi:10.48550/arxiv.1007.4375

openalex publication_date 2010/07/26 · openalex created_date 2021/10/25 · openalex updated_date 2026/07/28

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.

Citations

• On the existence of certain singular integrals
• Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen
• The discrete dipole approximation: An overview and recent developments
• Classical Electrodynamics

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