Scattering Properties of the Strip With Fractional Boundary Conditions and Comparison With the Impedance Strip

Ivakhnychenko, M.V.; Велиев, Е. И.; Ahmedov, T. M.

doi:10.2528/pierc08031502

Cited by 14 publications

(20 citation statements)

References 8 publications

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“…To find the scattered field E s z , it is necessary to subject the total field, as noted above, to a new boundary condition [1,2], which we call the fractional boundary condition (FBC).…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…(9) for fractional values of 0 < ν < 1. Fractional Fourier Transform of density function [1,2] can be written as…”

Section: Solution Of the Problemsmentioning

confidence: 99%

“…The representation in Eq. (12) is a consequence of the fact that the fractional density of the potentialf 1−ν (ξ) in order to satisfy the condition on the edge [1,2] is represented as a uniformly convergent series in the orthogonal Gegenbauer polynomials C ν n (ξ)…”

Section: Solution Of the Problemsmentioning

confidence: 99%

“…As noted in [1,2], SLAE allows one to determine the unknown coefficients f ν n with any given accuracy.…”

Section: Solution Of the Problemsmentioning

confidence: 99%

See 3 more Smart Citations

The Use of the Fractional Derivatives Approach to Solve the Problem of Diffraction of a Cylindrical Wave on an Impedance Strip

Veliyev¹,

Karaçuha²,

Karaçuha³

et al. 2018

PIER Letters

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Abstract-Earlier we considered the use of the apparatus of fractional derivatives to solve the twodimensional problem of diffraction of a plane wave on an impedance strip. We introduced the concept of a "fractional strip". A "fractional strip" is understood as a strip on the surface, which is subject to fractional boundary conditions (FBC). The problem under consideration on the basis of various methods has been studied quite well. As a rule, this problem is studied on the basis of numerical methods. The proposed approach, as will be shown below, makes it possible to obtain an analytical solution of the problem for values of fractional order ν = 0.5 and for fractional values of the interval ν ∈ [0, 1], the general solution will be investigated numerically.

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“…To find the scattered field E s z , it is necessary to subject the total field, as noted above, to a new boundary condition [1,2], which we call the fractional boundary condition (FBC).…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…(9) for fractional values of 0 < ν < 1. Fractional Fourier Transform of density function [1,2] can be written as…”

Section: Solution Of the Problemsmentioning

confidence: 99%

Section: Solution Of the Problemsmentioning

confidence: 99%

“…As noted in [1,2], SLAE allows one to determine the unknown coefficients f ν n with any given accuracy.…”

Section: Solution Of the Problemsmentioning

confidence: 99%

See 2 more Smart Citations

The Use of the Fractional Derivatives Approach to Solve the Problem of Diffraction of a Cylindrical Wave on an Impedance Strip

Veliyev¹,

Karaçuha²,

Karaçuha³

et al. 2018

PIER Letters

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show abstract

“…The polarization state of a beam of light is traditionally described by a vector I = (I, Q, U, V ) T composed of four Stokes parameters (T means transpose) [14][15][16][17][18][19][20][21][22][23]. The first Stokes parameter, I, is the intensity, while the other three parameters describe the polarization state of the beam.…”

Section: Theory and Definitionsmentioning

confidence: 99%

Depolarization and Polarization of Light Scattering by Dustlike Tropospheric Aerosols

Sun

Wang

Shen

et al. 2010

Journal of Electromagnetic Waves and Applications

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Measurement of the polarization and depolarization characteristics of light scattering by aerosols is a powerful remote sensing technique for retrieving the microphysics of aerosol particles. In this paper, we model dust-like aerosols using mixtures polydisperse, randomly oriented spheroids with varying aspect ratios from 0.6 µm to 2.0 µm at the wavelength of 0.443 µm and 0.865 µm. The Stokes scattering matrix elements averaged over wide shape distributions of spheroids are compared with those computed for polydisperse randomly oriented single scattering spheroids. The shape-averaged phase function for a mixture of spheroids is smooth, featureless, and nearly flat at side-scattering angles and closely resembles those typically measured for natural sand and dust particles. The linear and circular depolarization ratios were computed using the rigorous T -matrix method. We also show that there is no simple relationships between the depolarization ratio and aspect ratio, and an single spheroidal shape particles cannot be used to model natural dust aerosols.

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The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions

Tabatadze

Karaçuha

Veliyev

2020

Journal of Electromagnetic Waves and Applications

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Scattering Properties of the Strip With Fractional Boundary Conditions and Comparison With the Impedance Strip

Cited by 14 publications

References 8 publications

The Use of the Fractional Derivatives Approach to Solve the Problem of Diffraction of a Cylindrical Wave on an Impedance Strip

The Use of the Fractional Derivatives Approach to Solve the Problem of Diffraction of a Cylindrical Wave on an Impedance Strip

Depolarization and Polarization of Light Scattering by Dustlike Tropospheric Aerosols

The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions

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