Creeping waves in the shadow region with the Dirichlet and Neumann conditions

We construct shadow creeping waves in the problem of a plane wave diffraction by a smooth axially symmetric prolate body of revolution for both Dirichlet and Neumann boundary conditions. Using Fock's asymptotics as the initial data for the creeping wave amplitude, the theory of residues allows...

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Bibliographic Details
Published in2019 Days on Diffraction (DD) pp. 89 - 93
Main Authors Kirpichnikova, Anna, Kirpichnikova, Natalia
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2019
Subjects
Boundary conditions
Boundary value problems
Diffraction
Mathematical model
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Summary:We construct shadow creeping waves in the problem of a plane wave diffraction by a smooth axially symmetric prolate body of revolution for both Dirichlet and Neumann boundary conditions. Using Fock's asymptotics as the initial data for the creeping wave amplitude, the theory of residues allows us to present the wave field in the main approximation.
DOI:10.1109/DD46733.2019.9016422