Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials

Walid Remili; Kamil Karacuha; Vasil Tabatadze; Azedine Rahmoune; Eldar Veliyev

doi:10.1109/DIPED59408.2023.10269471

Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials

Walid Remili^*, Kamil Karacuha, Vasil Tabatadze, Azedine Rahmoune, Eldar Veliyev

^*Corresponding author for this work

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

Abstract

The present study investigates a classical problem with different solution approaches. The E-polarized electromagnetic scattering by half-plane with fractional boundary conditions via two different methods is studied and the results are compared. The outcomes reveal that Legendre exponential functions are suitable as a complete set to express the induced current densities on the scatterer after several mathematical manipulations. The current and field distributions for different parameters are provided when the fractional order becomes 0.5 an 1.

Original language	English
Title of host publication	2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings
Publisher	IEEE Computer Society
Pages	112-115
Number of pages	4
ISBN (Electronic)	9798350315332
DOIs	https://doi.org/10.1109/DIPED59408.2023.10269471
Publication status	Published - 2023
Event	28th IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Tbilisi, Georgia Duration: 11 Sept 2023 → 13 Sept 2023

Publication series

Name	Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
Volume	2023-September
ISSN (Print)	2165-3585
ISSN (Electronic)	2165-3593

Conference

Conference	28th IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023
Country/Territory	Georgia
City	Tbilisi
Period	11/09/23 → 13/09/23

Bibliographical note

Publisher Copyright:
© 2023 IEEE.

Keywords

Legendre exponential functions
Legendre polynomials
electromagnetic scattering
fractional boundary condition

Access to Document

10.1109/DIPED59408.2023.10269471

Cite this

Remili, W., Karacuha, K., Tabatadze, V., Rahmoune, A., & Veliyev, E. (2023). Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials. In 2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings (pp. 112-115). (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2023-September). IEEE Computer Society. https://doi.org/10.1109/DIPED59408.2023.10269471

Remili, Walid ; Karacuha, Kamil ; Tabatadze, Vasil et al. / Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials. 2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings. IEEE Computer Society, 2023. pp. 112-115 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

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abstract = "The present study investigates a classical problem with different solution approaches. The E-polarized electromagnetic scattering by half-plane with fractional boundary conditions via two different methods is studied and the results are compared. The outcomes reveal that Legendre exponential functions are suitable as a complete set to express the induced current densities on the scatterer after several mathematical manipulations. The current and field distributions for different parameters are provided when the fractional order becomes 0.5 an 1.",

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author = "Walid Remili and Kamil Karacuha and Vasil Tabatadze and Azedine Rahmoune and Eldar Veliyev",

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Remili, W, Karacuha, K , Tabatadze, V, Rahmoune, A & Veliyev, E 2023, Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials. in 2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings. Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, vol. 2023-September, IEEE Computer Society, pp. 112-115, 28th IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023, Tbilisi, Georgia, 11/09/23. https://doi.org/10.1109/DIPED59408.2023.10269471

Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials. / Remili, Walid; Karacuha, Kamil ; Tabatadze, Vasil et al.
2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings. IEEE Computer Society, 2023. p. 112-115 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2023-September).

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

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AU - Karacuha, Kamil

AU - Tabatadze, Vasil

AU - Rahmoune, Azedine

AU - Veliyev, Eldar

PY - 2023

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N2 - The present study investigates a classical problem with different solution approaches. The E-polarized electromagnetic scattering by half-plane with fractional boundary conditions via two different methods is studied and the results are compared. The outcomes reveal that Legendre exponential functions are suitable as a complete set to express the induced current densities on the scatterer after several mathematical manipulations. The current and field distributions for different parameters are provided when the fractional order becomes 0.5 an 1.

AB - The present study investigates a classical problem with different solution approaches. The E-polarized electromagnetic scattering by half-plane with fractional boundary conditions via two different methods is studied and the results are compared. The outcomes reveal that Legendre exponential functions are suitable as a complete set to express the induced current densities on the scatterer after several mathematical manipulations. The current and field distributions for different parameters are provided when the fractional order becomes 0.5 an 1.

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Remili W, Karacuha K , Tabatadze V, Rahmoune A, Veliyev E. Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials. In 2023 IEEE 28th International Seminar/Workshop - Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2023 - Proceedings. IEEE Computer Society. 2023. p. 112-115. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED59408.2023.10269471

Electromagnetic Scattering by Half-plane with Fractional Boundary Conditions Using Legendre Polynomials

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Keywords

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