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

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

2005-05-07

arxiv.org/abs/physics/0505054v1

Physics

Computational Physics

8 pp., 8 figures

Scientific paper

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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