Standard

Surface waves in a polygonal domain with Robin boundary conditions. / Lyalinov, Mikhail A.

Proceedings of the International Conference Days on Diffraction, DD 2018. ed. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. p. 204-208 8553201 (Proceedings of the International Conference Days on Diffraction, DD 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Lyalinov, MA 2018, Surface waves in a polygonal domain with Robin boundary conditions. in AY Kazakov, AP Kiselev, LI Goray & OV Motygin (eds), Proceedings of the International Conference Days on Diffraction, DD 2018., 8553201, Proceedings of the International Conference Days on Diffraction, DD 2018, Institute of Electrical and Electronics Engineers Inc., pp. 204-208, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Russian Federation, 4/06/18. https://doi.org/10.1109/DD.2018.8553201

APA

Lyalinov, M. A. (2018). Surface waves in a polygonal domain with Robin boundary conditions. In A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Eds.), Proceedings of the International Conference Days on Diffraction, DD 2018 (pp. 204-208). [8553201] (Proceedings of the International Conference Days on Diffraction, DD 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553201

Vancouver

Lyalinov MA. Surface waves in a polygonal domain with Robin boundary conditions. In Kazakov AY, Kiselev AP, Goray LI, Motygin OV, editors, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 204-208. 8553201. (Proceedings of the International Conference Days on Diffraction, DD 2018). https://doi.org/10.1109/DD.2018.8553201

Author

Lyalinov, Mikhail A. / Surface waves in a polygonal domain with Robin boundary conditions. Proceedings of the International Conference Days on Diffraction, DD 2018. editor / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 204-208 (Proceedings of the International Conference Days on Diffraction, DD 2018).

BibTeX

@inproceedings{51f6abf9bb0b444bb643b32462ddb739,
title = "Surface waves in a polygonal domain with Robin boundary conditions",
abstract = "A surface wave, propagating from infinity along a semi-infinite part, interacts with the impedance boundary of a 2D polygonal domain and gives rise to the reflected surface wave on this side and to the transmitted surface wave outgoing to infinity along the second semi-infinite side of the domain. The circular outgoing wave also propagates at infinity. It is shown that the classical solution of the problem is unique. By use of some known extension of the Sommerfeld-Malyuzhinets technique the problem at hand is reduced to functional Malyuzhinets equations and then to a system of integral equations of the second kind with the integral operator depending on a characteristic parameter. The integral equations are carefully studied. From the Sommerfeld integral representation of the solution the far field asymptotics is developed.",
author = "Lyalinov, {Mikhail A.}",
note = "Funding Information: The work was supported by the grant 17-11-01126 of the Russian Science Foundation. Publisher Copyright: {\textcopyright} 2018 IEEE. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.; 2018 International Conference Days on Diffraction, DD 2018 ; Conference date: 04-06-2018 Through 08-06-2018",
year = "2018",
month = nov,
day = "29",
doi = "10.1109/DD.2018.8553201",
language = "English",
series = "Proceedings of the International Conference Days on Diffraction, DD 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "204--208",
editor = "A.Ya. Kazakov and A.P. Kiselev and L.I. Goray and O.V. Motygin",
booktitle = "Proceedings of the International Conference Days on Diffraction, DD 2018",
address = "United States",

}

RIS

TY - GEN

T1 - Surface waves in a polygonal domain with Robin boundary conditions

AU - Lyalinov, Mikhail A.

N1 - Funding Information: The work was supported by the grant 17-11-01126 of the Russian Science Foundation. Publisher Copyright: © 2018 IEEE. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2018/11/29

Y1 - 2018/11/29

N2 - A surface wave, propagating from infinity along a semi-infinite part, interacts with the impedance boundary of a 2D polygonal domain and gives rise to the reflected surface wave on this side and to the transmitted surface wave outgoing to infinity along the second semi-infinite side of the domain. The circular outgoing wave also propagates at infinity. It is shown that the classical solution of the problem is unique. By use of some known extension of the Sommerfeld-Malyuzhinets technique the problem at hand is reduced to functional Malyuzhinets equations and then to a system of integral equations of the second kind with the integral operator depending on a characteristic parameter. The integral equations are carefully studied. From the Sommerfeld integral representation of the solution the far field asymptotics is developed.

AB - A surface wave, propagating from infinity along a semi-infinite part, interacts with the impedance boundary of a 2D polygonal domain and gives rise to the reflected surface wave on this side and to the transmitted surface wave outgoing to infinity along the second semi-infinite side of the domain. The circular outgoing wave also propagates at infinity. It is shown that the classical solution of the problem is unique. By use of some known extension of the Sommerfeld-Malyuzhinets technique the problem at hand is reduced to functional Malyuzhinets equations and then to a system of integral equations of the second kind with the integral operator depending on a characteristic parameter. The integral equations are carefully studied. From the Sommerfeld integral representation of the solution the far field asymptotics is developed.

UR - http://www.scopus.com/inward/record.url?scp=85060048487&partnerID=8YFLogxK

U2 - 10.1109/DD.2018.8553201

DO - 10.1109/DD.2018.8553201

M3 - Conference contribution

AN - SCOPUS:85060048487

T3 - Proceedings of the International Conference Days on Diffraction, DD 2018

SP - 204

EP - 208

BT - Proceedings of the International Conference Days on Diffraction, DD 2018

A2 - Kazakov, A.Ya.

A2 - Kiselev, A.P.

A2 - Goray, L.I.

A2 - Motygin, O.V.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 International Conference Days on Diffraction, DD 2018

Y2 - 4 June 2018 through 8 June 2018

ER -

ID: 35468162