Analytical expression for wave scattering from exponential height correlated rough surfaces

Zamani, Mehdi; Salami, M.; Fazeli, S. M.; Jafari, G. R.

doi:10.1080/09500340.2012.723756

Cited by 9 publications

(5 citation statements)

References 32 publications

(36 reference statements)

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“…2 shows the dependence of the total normalized scattered field intensity, I tot , on the scattering angle, θ 2 , for different values of Hurst exponent, H. By decreasing H, fractional dimension of the surface will increase which is equivalent to increasing the roughness of the surface in the Euclidian space. As a result, the amount of reflected intensity in specular direction will decrease and contribution of reflection in other directions which appear in this approach and corresponds to diffuse component from rough surface will increase, which is in good agreement with the results obtained by Kirchhoff theory for rough surfaces [27].…”

Section: Equivalence Of 3d Scattering and Reflection In The Frac-tion...supporting

confidence: 91%

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The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

Safdari

Vahabi²,

Jafari

2015

Eur. Phys. J. B

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In this paper, scattering of incident plane waves from rough surfaces have been modeled in a fractional space. It is shown how wave scattering from a rough surface, could be a simple reflection problem in a fractional space. In the integer space, fluctuations of the surface result in wave scattering while in the fractional space these fluctuations are compensated by the geometry of the space. In the fractional space, reflection leads to the same results as the scattering in the integer space. To make it more clear, scattered wave function in the framework of Kirchhoff theory is considered in a fractional space and results are compared with those from a self-affine surfaces.Our results show that these two approaches are comparable.

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Section: Equivalence Of 3d Scattering and Reflection In The Frac-tion...supporting

confidence: 91%

“…3. The total intensity for angles far from zero (non-specular angles) shows the diffuse intensity and it decreases by decreasing the wavelength which is in good agreement with the results obtained in [27].…”

Section: Equivalence Of 3d Scattering and Reflection In The Frac-tion...supporting

confidence: 90%

The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

Safdari

Vahabi²,

Jafari

2015

Eur. Phys. J. B

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“…Since the publication of this seminal work by Berry, numerous studies have been published on related aspects of the problem, some of which can be found in Refs. [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]. The overall majority of these studies are either purely numerical and/or the scattered intensity is not obtained in a closed form expression but rather more typically as an infinite series where the terms depend on the self-affine parameters.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering from two-dimensional self-affine Dirichlet and Neumann surfaces and its application to the retrieval of self-affine parameters

et al. 2018

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Wave scattering from two-dimensional self-affine Dirichlet and Neumann surfaces is studied for the purpose of using the intensity scattered from them to obtain the Hurst exponent and topothesy that characterize the self-affine roughness. By the use of the Kirchhoff approximation a closed form mathematical expression for the angular dependence of the mean differential reflection coefficient is derived under the assumption that the surface is illuminated by a plane incident wave. It is shown that this quantity can be expressed in terms of the isotropic, bivariate (α-stable) Lévy distribution of a stability parameter that is two times the Hurst exponent of the underlying surface. Features of the expression for the mean differential reflection coefficient are discussed, and its predictions compare favorably over large regions of parameter space to results obtained from rigorous computer simulations based on equations of scattering theory. It is demonstrated how the Hurst exponent and the topothesy of the self-affine surface can be inferred from scattering data it produces. Finally several possible scattering configurations are discussed that allow for an efficient extraction of these self-affine parameters.

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“…In this paper, to accomplish the argument about effects of self-affinity in SHA in light metals, and effects of Gaussian and non-Gaussian of distribution functions of surface roughness in SHC, we explore the influence of the height-height correlation function on the SHA with self-affine surface roughness. The surface roughness will be regarded as effective impurities 27,28 and the power spectrum of isotropic rough surface will be described by k-correlation model [29][30][31][32] . The self-affine fractal surface roughness is characterized in addition to height fluctuations δ, from flatness and ξ by a local fractal dimension…”

Section: Introductionmentioning

confidence: 99%

Spin Hall effect originated from fractal surface

Hajzadeh

Mohseni

Movahed

et al. 2018

J. Phys.: Condens. Matter

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The spin Hall effect (SHE) has shown promising impact in the field of spintronics and magnonics from fundamental and practical points of view. This effect originates from several mechanisms of spin scatterers based on spin-orbit coupling (SOC) and also can be manipulated through the surface roughness. Here, the effect of correlated surface roughness on the SHE in metallic thin films with small SOC is investigated theoretically. Toward this, the self-affine fractal surface in the framework of the Born approximation is exploited. The surface roughness is described by the k-correlation model and is characterized by the roughness exponent H [Formula: see text], the in-plane correlation length ξ and the rms roughness amplitude δ. It is found that the spin Hall angle in metallic thin film increases by two orders of magnitude when H decreases from H = 1 to H = 0. In addition, the source of SHE for surface roughness with Gaussian profile distribution function is found to be mainly the side jump scattering while that with a non-Gaussian profile suggests both of the side jump and skew scatterings are present. Our achievements address how details of the surface roughness profile can adjust the SHE in non-heavy metals.

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Analytical expression for wave scattering from exponential height correlated rough surfaces

Cited by 9 publications

References 32 publications

The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

The phenomenon of simplified scattering from rough surfaces to reflection in fractional space

Wave scattering from two-dimensional self-affine Dirichlet and Neumann surfaces and its application to the retrieval of self-affine parameters

Spin Hall effect originated from fractal surface

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