Fractional boundary conditions in plane wave diffraction on a strip

E. I. Veliev; M. V. Ivakhnychenko; T. M. Ahmedov

doi:10.2528/PIER07102406

Fractional boundary conditions in plane wave diffraction on a strip

E. I. Veliev^*, M. V. Ivakhnychenko, T. M. Ahmedov

^*Corresponding author for this work

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

42 Citations (Scopus)

Abstract

New fractional boundary conditions (FBC) on plane boundaries are introduced. FBC act as intermediate case between perfect electric conductor and perfect magnetic conductor. In certain sense FBC are analogue of commonly used impedance boundary conditions with pure imaginary impedance. The relation between fractional order and impedance is shown. Plane wave diffraction problem by a strip described by FBC is formulated and solved using new method which extends known methods. Numerical results for physical characteristics are presented. Analyzing the scattering properties of the fractional strip new features are observed. FBC has one important special case where the fractional order equals to 1/2. For this special case the solution of diffraction problem can be found in analytical form for any value of wavenumber. Also for small values of wavenumber monostotic radar cross section has new specific resonances which are absent for other values of fractional order.

Original language	English
Pages (from-to)	443-462
Number of pages	20
Journal	Progress in Electromagnetics Research
Volume	79
DOIs	https://doi.org/10.2528/PIER07102406
Publication status	Published - 2008
Externally published	Yes

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title = "Fractional boundary conditions in plane wave diffraction on a strip",

abstract = "New fractional boundary conditions (FBC) on plane boundaries are introduced. FBC act as intermediate case between perfect electric conductor and perfect magnetic conductor. In certain sense FBC are analogue of commonly used impedance boundary conditions with pure imaginary impedance. The relation between fractional order and impedance is shown. Plane wave diffraction problem by a strip described by FBC is formulated and solved using new method which extends known methods. Numerical results for physical characteristics are presented. Analyzing the scattering properties of the fractional strip new features are observed. FBC has one important special case where the fractional order equals to 1/2. For this special case the solution of diffraction problem can be found in analytical form for any value of wavenumber. Also for small values of wavenumber monostotic radar cross section has new specific resonances which are absent for other values of fractional order.",

author = "Veliev, {E. I.} and Ivakhnychenko, {M. V.} and Ahmedov, {T. M.}",

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doi = "10.2528/PIER07102406",

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journal = "Progress in Electromagnetics Research",

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T1 - Fractional boundary conditions in plane wave diffraction on a strip

AU - Veliev, E. I.

AU - Ivakhnychenko, M. V.

AU - Ahmedov, T. M.

PY - 2008

Y1 - 2008

N2 - New fractional boundary conditions (FBC) on plane boundaries are introduced. FBC act as intermediate case between perfect electric conductor and perfect magnetic conductor. In certain sense FBC are analogue of commonly used impedance boundary conditions with pure imaginary impedance. The relation between fractional order and impedance is shown. Plane wave diffraction problem by a strip described by FBC is formulated and solved using new method which extends known methods. Numerical results for physical characteristics are presented. Analyzing the scattering properties of the fractional strip new features are observed. FBC has one important special case where the fractional order equals to 1/2. For this special case the solution of diffraction problem can be found in analytical form for any value of wavenumber. Also for small values of wavenumber monostotic radar cross section has new specific resonances which are absent for other values of fractional order.

AB - New fractional boundary conditions (FBC) on plane boundaries are introduced. FBC act as intermediate case between perfect electric conductor and perfect magnetic conductor. In certain sense FBC are analogue of commonly used impedance boundary conditions with pure imaginary impedance. The relation between fractional order and impedance is shown. Plane wave diffraction problem by a strip described by FBC is formulated and solved using new method which extends known methods. Numerical results for physical characteristics are presented. Analyzing the scattering properties of the fractional strip new features are observed. FBC has one important special case where the fractional order equals to 1/2. For this special case the solution of diffraction problem can be found in analytical form for any value of wavenumber. Also for small values of wavenumber monostotic radar cross section has new specific resonances which are absent for other values of fractional order.

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JO - Progress in Electromagnetics Research

JF - Progress in Electromagnetics Research

ER -

Fractional boundary conditions in plane wave diffraction on a strip

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