On short-wave diffraction by an elongated body. Numerical experiments

DOI10.1007/s10958-017-3563-5zbMath1393.35197OpenAlexW2763954161MaRDI QIDQ1687958

N. M. Semtchenok, M. M. Popov, N. Ya. Kirpichnikova

Publication date: 4 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3563-5

zbMATH Keywords

boundary-layer methodshort-wave diffractiontwo-scale asymptotic expansion

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

On short-wave diffraction by a strongly elongated body of revolution ⋮ Leontovich-Fock parabolic equation method in the Neumann diffraction problem on a prolate body of revolution ⋮ Scattering amplitudes in a neighborhood of limit rays in short-wave diffraction by elongated bodies of revolution ⋮ To the calculations of scattering amplitudes in diffraction problems for elongated bodies of revolution

Cites Work

• Merging of asymptotics in the illuminated part of the Fock domain
• The Leontovich-Fock parabolic equation method in problems of short-wave diffraction by prolate bodies
• Computation of corrections to the Fock asymptotics for the wave field near a circular cylinder and a sphere
• Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary
• Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary
• A Method for the Spatial Discretization of Parabolic Equations in One Space Variable

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