Novel Gabor-Based Gaussian Beam Expansion for Curved Aperture Radiation in Dimension Two

Chabory, Alexandre; Sokoloff, JÃ©rÃ ́me; Bolioli, S.

doi:10.2528/pier05090702

Cited by 14 publications

(19 citation statements)

References 8 publications

(13 reference statements)

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“…3 the numerical computation of the radiation of an elementary twodimensional electric current J CGB =ê J (x , y )u(x , y ) defined at O by a Kottler current integral [16]. As any conventional current on a surface, elementary currents radiate toward both sides of the surface Σ.…”

Section: Conformal Gaussian Beammentioning

confidence: 99%

“…However, this technique fails for a heavy curved surface. In order to treat a more general class of curved surfaces, [16] proposed to use a Gabor expansion with respect to the curvilinear coordinate of a regular interface in a two-dimensional case. This expansion requires a new kind of Gaussian beams, named Conformal Gaussian Beams (CGB) [17].…”

Section: Introductionmentioning

confidence: 99%

“…One recognizes in Equations (A12) and (A13) the Plane-Wave Spectrums of the radiated fields E r and H r as defined by Equations (15) and (16).…”

mentioning

confidence: 99%

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Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Hillairet¹,

Sokoloff²,

Bolioli³

2008

PIER B

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Abstract-Asymptotic techniques have been successfully applied to compute electromagnetic wave radiation in various high-frequency engineering domains. Recent approaches based on Gaussian beams for tracking fields may overcome some problems inherent to the ray methods such as caustics. The efficiency of these methods is based on the ability to expand surface fields into a superposition of Gaussian beams. However, some difficulties may arise when the surface is curved. In this paper, we propose a new efficient way to expand fields on a curved surface into Gaussian beams. For this purpose, a new beam formulation called Conformal Gaussian Beam (CGB) is used. The CGBs have been developed to overcome the limitation of the expansion into paraxial Gaussian Beams. The analytical Plane-Wave Spectrum and far-field of a CGB are derived and compared with numerical calculations. A brief parameter analysis of the CGBs is realised.

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Section: Conformal Gaussian Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Hillairet¹,

Sokoloff²,

Bolioli³

2008

PIER B

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“…(19) is close to one, which leads to the incoherent scattering cross section as the same as that for an incident plane wave. Because the condition mentioned above normally occurs in practice, a taped plane wave (paraxial gaussian beam) is used commonly instead of a plane wave in the rough surface scattering numerical calculations fro many researchers [14][15][16].…”

Section: The Coherent and Incoherent Scattered Intensity And Section mentioning

confidence: 99%

“…Subsequently Chen [13] and Xue [14] has obtained the formula of the incoherent scattering cross section for dielectric rough surfaces using Kirchhoff scalar approximation. Chabory and Sokoloff et al [15] apply the Gabor expansion to describe magnetic and electric currents given on a regular curved interface in dimension 2 by a new kind of gaussian beams. Notice that the results given in [11] and [14] are available for the incoherent scattering but not for the coherent scattering, which occurs when the surface standard deviation is small.…”

Section: Introductionmentioning

confidence: 99%

Investigation on the Scattering Characteristics of Gaussian Beam From Two Dimensional Dielectric Rough Surfaces Based on the Kirchhoff Approximation

Wang¹,

Wu²,

Li³

2008

PIER B

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Abstract-The scattering characteristic of paraxial gaussian beam from two dimensional dielectric rough surfaces is studied in this paper. The modification of the Kirchhoff approximation theory for rough surface scattering by an incident gaussian beam instead of a plane wave are developed based on conventional Kirchhoff scattering theory and plane wave spectrum expansion method. The coherent and incoherent scattered intensity and cross section of two dimensional dielectric rough surfaces is derived in detail. As a application, under incidence wave length λ = 1.06 µm, we calculate the coherent and incoherent scattered intensity and cross section of Gaussian beam scattering from plating aluminium dielectric rough surfaces change with the scattering zenith angles in different rough surface correlation length, rough surface height root mean square and other conditions. In the same scattering conditions, we compare the coherent and incoherent scattered section between the gaussian beam and plane wave to prove that our methods and programming cods is correct. The numerical results are shown 224 Wang, Wu, and Li that the incident gaussian beam size is much larger compared with the surface height correlation length, the normalized scattering cross section is the same as for an incident plane wave. The ratio between the beam size and the surface height correlation length play an important role in the scattering characteristic of the gaussian beam from two dimensional dielectric rough surfaces. The ratio is bigger, the coherent and scattered intensity and section is more remarkable and on the contrary the incoherent scattered intensity and section is relatively smaller.

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Modeling the long-range wave propagation by a split-step wavelet method

Zhou

Douvenot

Chabory

2020

Journal of Computational Physics

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A split-step wavelet method for simulating the long-range wave propagation is introduced. It is based on the fast wavelet transform. Compared to the split-step Fourier method, this method improves the computation efficiency while keeping a good accuracy. The propagation is performed iteratively by means of a pre-computed matrix containing the individual propagations of the wavelets. A fast computation method of this matrix is also presented. For the radiowave propagation in the low troposphere, a local image method is proposed to account for an impedance ground. Inhomogeneous atmospheres and irregular grounds are also considered. Finally, numerical tests of long-range propagations are performed to show the accuracy and time efficiency of this method.

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Novel Gabor-Based Gaussian Beam Expansion for Curved Aperture Radiation in Dimension Two

Cited by 14 publications

References 8 publications

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Electromagnetic Scattering of a Field Known on a Curved Interface Using Conformal Gaussian Beams

Investigation on the Scattering Characteristics of Gaussian Beam From Two Dimensional Dielectric Rough Surfaces Based on the Kirchhoff Approximation

Modeling the long-range wave propagation by a split-step wavelet method

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