THE FRACTIONAL DERIVATIVE APPROACH FOR THE DIFFRACTION PROBLEMS: PLANE WAVE DIFFRACTION BY TWO STRIPS WITH THE FRACTIONAL BOUNDARY CONDITIONS | Zendy

V. Tabatadze | Zendy; Kâmil Karaçuha | Zendy; É. I. Veliev | Zendy

Open Access

THE FRACTIONAL DERIVATIVE APPROACH FOR THE DIFFRACTION PROBLEMS: PLANE WAVE DIFFRACTION BY TWO STRIPS WITH THE FRACTIONAL BOUNDARY CONDITIONS

Author(s) -

V. Tabatadze,

Kâmil Karaçuha,

É. I. Veliev

Publication year - 2019

Publication title -

progress in electromagnetics research c

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.341

H-Index - 34

ISSN - 1937-8718

DOI - 10.2528/pierc19062505

Subject(s) - diffraction , fractional calculus , strips , plane (geometry) , derivative (finance) , boundary (topology) , boundary value problem , mathematical analysis , mathematics , plane wave , physics , geometry , optics , algorithm , financial economics , economics

In this article, a solution of the plane wave diffraction problem by two axisymmetric strips with different dimensions is considered. Fractional boundary conditions are required on the surface of each strip. Several cases of strip’s dimension, configurations, and fractional orders are considered, and numerical results are obtained. The near electric field distribution, Total Radar Cross Section frequency characteristics, and the Poynting vector distribution in the vicinity of these strips are calculated and illustrated. For the fractional order 0.5, the solution is found analytically.

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