Standard

High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface. / Andronov, Ivan V. .

In: Wave Motion, Vol. 97, 102608, 09.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Andronov, IV 2020, 'High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface', Wave Motion, vol. 97, 102608. https://doi.org/10.1016/j.wavemoti.2020.102608

APA

Andronov, I. V. (2020). High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface. Wave Motion, 97, [102608]. https://doi.org/10.1016/j.wavemoti.2020.102608

Vancouver

Andronov IV. High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface. Wave Motion. 2020 Sep;97. 102608. https://doi.org/10.1016/j.wavemoti.2020.102608

Author

Andronov, Ivan V. . / High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface. In: Wave Motion. 2020 ; Vol. 97.

BibTeX

@article{d713830e656d40298c3626de468aff9f,
title = "High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface",
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 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.",
keywords = "Diffraction, High-frequency asymptotics, Soft-hard surface, Airy functions, Factorization, Infinite product, IMPEDANCE",
author = "Andronov, {Ivan V.}",
year = "2020",
month = sep,
doi = "https://doi.org/10.1016/j.wavemoti.2020.102608",
language = "English",
volume = "97",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface

AU - Andronov, Ivan V.

PY - 2020/9

Y1 - 2020/9

N2 - 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.

AB - 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.

KW - Diffraction

KW - High-frequency asymptotics

KW - Soft-hard surface

KW - Airy functions

KW - Factorization

KW - Infinite product

KW - IMPEDANCE

UR - http://www.scopus.com/inward/record.url?scp=85085563079&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/04d0df35-2e33-343a-a871-156472c99a30/

U2 - https://doi.org/10.1016/j.wavemoti.2020.102608

DO - https://doi.org/10.1016/j.wavemoti.2020.102608

M3 - Article

VL - 97

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

M1 - 102608

ER -

ID: 53786622