The use of fractals for modeling EM waves scattering from rough sea surface

Chen, Ji; Lo, T.; Leung, Henry; Litva, J.

doi:10.1109/36.508413

Cited by 58 publications

(25 citation statements)

References 14 publications

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“…Suppose that an incident wave of unit amplitude impinges on a onedimensional sea surface, extending from x = −L to x = L. Based on the Kirchhoff Approximation [27,28], it gets scattering field as follows…”

Section: Computation Of Primary Scattering Field and Surface Current mentioning

confidence: 99%

Composite Electromagnetic Scattering From the Plate Target Above a One-Dimensional Sea Surface: Taking the Diffraction Into Account

Wu¹,

Zhang²,

Zhao³

2009

PIER

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Abstract-The properties of composite electromagnetic scattering from a square conducting plate target above a one-dimensional sea surface are discussed with the diffraction of plate edge taken into account. The characteristics of electromagnetic scattering from the sea surface are investigated based on the Kirchhoff Approximation (KA). The backscattering field of a plate target is calculated with the method of higher equivalent edge currents. Besides, the method of equivalent edge currents (MEC), Physical Optics (PO) approximation and the reciprocity theorem method are combined to calculate the composite scattering field from the conducting plate target above a sea surface. The effect of the plate size, inclination, edge diffraction and the frequency of incident wave on the composite scattering field is analyzed.

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Section: Computation Of Primary Scattering Field and Surface Current mentioning

confidence: 99%

Composite Electromagnetic Scattering From the Plate Target Above a One-Dimensional Sea Surface: Taking the Diffraction Into Account

Wu¹,

Zhang²,

Zhao³

2009

PIER

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“…(2)) which extends from L to , L using the Kirchhoff Approximation (KA), the scattering field from the sea surface is expressed as follows [11] :…”

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confidence: 99%

Study on electromagnetic backscattering and Doppler spectrum of a moving spherical target above time-varying sea surface

Guo

Wang

2008

Sci. China Ser. G-Phys. Mech. As

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The surface electric current of the sea surface and the first-order scattering field from the spherical target were obtained by employing Physical Optics method and Mie theory, respectively. The backscattering field of the time-evolving sea surface was calculated by using Kirchhoff Approximation. Meanwhile, by taking the advantage of a newly developed technique that utilizes the reciprocity theorem, the difficulty in formulating the secondary coupling scattering fields from the spherical target above the sea surface was reduced. The dependence of the secondary coupling backscattering field on the size and the position of the spherical target was discussed, and the characteristic of the Doppler spectrum of the composite backscattering field with different incident angles was analyzed in detail. sea surface, reciprocity theorem, Physical Optics method, electromagnetic scattering, Doppler spectrum

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“…[1,2,3] There exists a large amount of theoretical works devoted to wave scattering from fractal surfaces. [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] Most of them make use of approximations, such as Kirchhoff approximation (KA) or perturbation methods, in order to obtain analytical expressions that are useful in certain regimes, but thereby imposing a constraint on the length scales over which fractality might be present. Others include calculations within the Rayleigh hypothesis and/or restricted to perfectly conducting surfaces.…”

Section: Introductionmentioning

confidence: 99%

Light scattering from self-affine fractal silver surfaces with nanoscale cutoff: far-field and near-field calculations

Sánchez‐Gil

Garcı́a-Ramos

Mendez³

2002

J. Opt. Soc. Am. A

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We study the light scattered from randomly rough, one-dimensional self-affine fractal silver surfaces with nanoscale lower cutoff, illuminated by s-or p-polarized Gaussian beams a few microns wide. By means of rigorous numerical calculations based on the Green theorem integral equation formulation, we obtain both the far-and near-field scattered intensities. The influence of diminishing the fractal lower scale cutoff (from below a hundred, down to a few nanometers) is analyzed in the case of both single realizations and ensemble average magnitudes. For s polarization, variations are small in the far field, being only significant in the higher spatial frequency components of evanescent character in the near field. In the case of p polarization, however, the nanoscale cutoff has remarkable effects stemming from the roughness-induced excitation of surface-plasmon polaritons. In the far field, the effect is noticed both in the speckle pattern variation and in the decrease of the total reflected energy upon ensemble averaging, due to increased absorption. In the near field, more efficient excitation of localized optical modes is achieved with smaller cutoff, which in turn leads to huge surface electric field enhancements.

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The use of fractals for modeling EM waves scattering from rough sea surface

Cited by 58 publications

References 14 publications

Composite Electromagnetic Scattering From the Plate Target Above a One-Dimensional Sea Surface: Taking the Diffraction Into Account

Composite Electromagnetic Scattering From the Plate Target Above a One-Dimensional Sea Surface: Taking the Diffraction Into Account

Study on electromagnetic backscattering and Doppler spectrum of a moving spherical target above time-varying sea surface

Light scattering from self-affine fractal silver surfaces with nanoscale cutoff: far-field and near-field calculations

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