On short-wave diffraction by a strongly elongated body of revolution

DOI10.1007/S10958-017-3567-1zbMath1388.35190OpenAlexW2762945529MaRDI QIDQ1687963

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

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/s10958-017-3567-1

zbMATH Keywords

boundary layerlight-shadow boundaryshort-wave diffractionnonstationary scattering problemstrongly elongated body of revolution

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

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

• Unnamed Item
• 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
• 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
• On short-wave diffraction by an elongated body. Numerical experiments
• A Method for the Spatial Discretization of Parabolic Equations in One Space Variable

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