Numerical study of high frequency asymptotics of the symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems
classification
⚛️ physics.comp-ph
physics.optics
keywords
symbolasymptoticsdiffractiondirichlet-to-neumannnumericaloperatorproblemsconjecture
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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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