Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives

E. I. Veliev; Kamil Karacuha; Ertucrul Karaguha

doi:10.1109/DIPED.2018.8543322

Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives

E. I. Veliev, Kamil Karacuha, Ertucrul Karaguha

National University of'Kharkiv Polytechnic Institute

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

5 Citations (Scopus)

Abstract

Earlier, we considered the use of fractional derivative approach to solve two dimensional diffraction problems with incoming wave as plane wave or cylindrical wave on an impedance strip. By introducing the fractional boundary condition (FBC), the "fractional strip" which is subject to FBC is solved. FBC acts as an intermediate case between perfect electric conductor and perfect magnetic conductor. The Cylindrical wave diffraction problem from a strip described by FBC is formulated and solved using new method. While analyzing the scattering properties of fractional strip, new features are observed. When fractional order (FO) equals to 0.5, the problem can be found in analytical form for any value of wavenumber. Here, FO is taken 0.5 and the study is done by putting line source at far field and having analytical solution by using asymptotic approach.

Original language	English
Title of host publication	2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings
Publisher	IEEE Computer Society
Pages	72-75
Number of pages	4
ISBN (Electronic)	9781538661161
DOIs	https://doi.org/10.1109/DIPED.2018.8543322
Publication status	Published - 21 Nov 2018
Event	23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Tbilisi, Georgia Duration: 24 Sept 2018 → 27 Sept 2018

Publication series

Name	Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
Volume	2018-September
ISSN (Print)	2165-3585
ISSN (Electronic)	2165-3593

Conference

Conference	23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018
Country/Territory	Georgia
City	Tbilisi
Period	24/09/18 → 27/09/18

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Keywords

Diffraction
Fractional boundary condition
Fractional derivative method
Line source
Scattering

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10.1109/DIPED.2018.8543322

Cite this

Veliev, E. I., Karacuha, K., & Karaguha, E. (2018). Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives. In 2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings (pp. 72-75). Article 8543322 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2018-September). IEEE Computer Society. https://doi.org/10.1109/DIPED.2018.8543322

Veliev, E. I. ; Karacuha, Kamil ; Karaguha, Ertucrul. / Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives. 2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings. IEEE Computer Society, 2018. pp. 72-75 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

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title = "Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives",

abstract = "Earlier, we considered the use of fractional derivative approach to solve two dimensional diffraction problems with incoming wave as plane wave or cylindrical wave on an impedance strip. By introducing the fractional boundary condition (FBC), the {"}fractional strip{"} which is subject to FBC is solved. FBC acts as an intermediate case between perfect electric conductor and perfect magnetic conductor. The Cylindrical wave diffraction problem from a strip described by FBC is formulated and solved using new method. While analyzing the scattering properties of fractional strip, new features are observed. When fractional order (FO) equals to 0.5, the problem can be found in analytical form for any value of wavenumber. Here, FO is taken 0.5 and the study is done by putting line source at far field and having analytical solution by using asymptotic approach.",

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Veliev, EI , Karacuha, K & Karaguha, E 2018, Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives. in 2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings., 8543322, Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, vol. 2018-September, IEEE Computer Society, pp. 72-75, 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018, Tbilisi, Georgia, 24/09/18. https://doi.org/10.1109/DIPED.2018.8543322

Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives. / Veliev, E. I.; Karacuha, Kamil ; Karaguha, Ertucrul.
2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings. IEEE Computer Society, 2018. p. 72-75 8543322 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2018-September).

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

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PY - 2018/11/21

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N2 - Earlier, we considered the use of fractional derivative approach to solve two dimensional diffraction problems with incoming wave as plane wave or cylindrical wave on an impedance strip. By introducing the fractional boundary condition (FBC), the "fractional strip" which is subject to FBC is solved. FBC acts as an intermediate case between perfect electric conductor and perfect magnetic conductor. The Cylindrical wave diffraction problem from a strip described by FBC is formulated and solved using new method. While analyzing the scattering properties of fractional strip, new features are observed. When fractional order (FO) equals to 0.5, the problem can be found in analytical form for any value of wavenumber. Here, FO is taken 0.5 and the study is done by putting line source at far field and having analytical solution by using asymptotic approach.

AB - Earlier, we considered the use of fractional derivative approach to solve two dimensional diffraction problems with incoming wave as plane wave or cylindrical wave on an impedance strip. By introducing the fractional boundary condition (FBC), the "fractional strip" which is subject to FBC is solved. FBC acts as an intermediate case between perfect electric conductor and perfect magnetic conductor. The Cylindrical wave diffraction problem from a strip described by FBC is formulated and solved using new method. While analyzing the scattering properties of fractional strip, new features are observed. When fractional order (FO) equals to 0.5, the problem can be found in analytical form for any value of wavenumber. Here, FO is taken 0.5 and the study is done by putting line source at far field and having analytical solution by using asymptotic approach.

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Veliev EI , Karacuha K , Karaguha E. Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives. In 2018 23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2018 - Proceedings. IEEE Computer Society. 2018. p. 72-75. 8543322. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED.2018.8543322

Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives

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Keywords

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