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

Citation

Kirpichnikova A & Kirpichnikova N (2020) Creeping waves in the shadow region with the Dirichlet and Neumann conditions. In: Motygin O, Kiselev A, Goray L, Fedotov A, Ya Kazakov A & Kirpichnikova A (eds.) Proceedings of the International Conference Days on Diffraction 2019. Days on Diffraction 2019, St. Petersburg, Russia, 03.06.2019-07.06.2019. Piscataway, NJ: IEEE, pp. 89-93. https://doi.org/10.1109/DD46733.2019.9016422

Abstract
We construct shadow creeping waves in the problem of a plane wave diffraction by a smooth axi-ally 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.

Keywords
Mathematical model; Diffraction; Boundary conditions; Boundary value problems