High-frequency Lengthwise Diffraction by the Line Separating Soft and Hard Parts of the Surface

Research outputpeer-review

Abstract

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 quick 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.
Original languageEnglish
Title of host publication2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science
Place of PublicationRome, Italy
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages4
ISBN (Electronic)978-9-4639-6800-3
ISBN (Print)978-1-7281-5690-3
DOIs
Publication statusPublished - 2020
EventXXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science - Rome
Duration: 29 Aug 20205 Sep 2020

Conference

ConferenceXXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science
CountryItaly
CityRome
Period29/08/205/09/20

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