Numerical study of high frequency asymptotics of the symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems

2005/05/07 by Margo Kondratieva, Sergey Sadov, Kondratieva, Margo +1
Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #Optics (physics.optics) #physics.comp-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.physics/0505054

8 pp., 8 figures

arxiv created 2005/05/07 · openalex publication_date 2005/05/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A high-frequency asymptotics of the symbol of the Dirichlet-to-Neumann map, treated as a periodic pseudodifferential operator, in 2D diffraction problems is discussed. Numerical results support a conjecture on a universal limit shape of the symbol.

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