High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

The paper examines the model problem of high-frequency diffraction by a convex surface consisting of two parts. One is soft, the other is hard. The incident wave falls at a small angle to the line which separates soft and hard parts of the surface. The change in the boundary condition provokes the field in the Fock zone to have a rapid transverse variation. This causes a special boundary-layer to be formed. The boundary value problem for the three dimensional parabolic equation is reduced to the Riemann problem solved by the factorization in the form of infinite products containing the zeros of the Airy function and zeros of its derivative. the results of this factorization appear under the sign of double Fourier integral in the representation of the field. Both numerical and asymptotic analysis of this representation is carried out and illustrates the effects of high-frequency diffraction caused by the line of the boundary condition discontinuity.
Язык оригиналаанглийский
Номер статьи102608
Число страниц13
ЖурналWave Motion
Том97
DOI
СостояниеЭлектронная публикация перед печатью - 30 мая 2020

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