Gaussian Beam Scattering on Two-Dimensional Periodic Aperture Array

Gribovsky, A. V.; Yeliseyev, O. A.

doi:10.2528/pierb11051402

Cited by 5 publications

(10 citation statements)

References 25 publications

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“…In the case of an arbitrary incidence of a plane linearly polarized TE and TM waves on phased antenna array with rectangular wave guides, the transverse component of the reflected or transmitted electric fields can be represented in the next form [15]:…”

Section: Numerical Resultsmentioning

confidence: 99%

“…A way of solving this problem is described in our previous paper [15] in detail. It consists in finding a relation between the unknown spectral functions R 1 (ξ, ζ), R 2 (ξ, ζ) and the certain elements of generalized scattering matrix and the known spectral features G 1 (ξ, ζ), G 2 (ξ, ζ).…”

Section: Problem Formulationmentioning

confidence: 99%

“…It is enough to consider 50 spatial harmonics for convergence of the double sums for the chosen parameters of a beam and array. The expressions for the patterns across the field and the intensity of the reflected beam in the far-field region are obtained as follows [15]:…”

Section: Problem Formulationmentioning

confidence: 99%

“…The problems of the beams diffraction on various periodic structures were investigated by a number of authors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In [15] the results of the scattering electromagnetic characteristics of the linearly polarized Gaussian beam with circular cross-section are presented in the case of normal beam incidence on the PAA.…”

Section: Introductionmentioning

confidence: 99%

“…In [15] the results of the scattering electromagnetic characteristics of the linearly polarized Gaussian beam with circular cross-section are presented in the case of normal beam incidence on the PAA. The array is made of a plane perfectly conducting screen of a finite thickness with rectangular cross-section waveguide channels.…”

Section: Introductionmentioning

confidence: 99%

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The Elliptic Gaussian Beam Scattering on Phased Antenna Array With Rectangular Waveguides

Gribovsky¹,

Yeliseyev²

2012

PIER M

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Abstract-The diffraction problem of a three-dimensional elliptic Gaussian beam on a aperture array of rectangular holes is solved. The both normal and oblique incidences of the beam are considered and the results are presented in the form of the three-dimensional patterns. The pattern lobe distortion and conditions at which the side lobes appear are studied. The conditions under which the shift of the reflected and transmitted field patterns appears are studied. The existence of higher spatial Floquet harmonics in the case of oblique beam incidence is observed.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Elliptic Gaussian Beam Scattering on Phased Antenna Array With Rectangular Waveguides

Gribovsky¹,

Yeliseyev²

2012

PIER M

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Gaussian-windowed frame based method of moments formulation of surface-integral-equation for extended apertures

Shlivinski

Lomakin

2016

Journal of Computational Physics

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Scattering or coupling of electromagnetic beam-field at a surface discontinuity separating two homogeneous or inhomogeneous media with different propagation characteristics is formulated using surface integral equation, which are solved by the Method of Moments with the aid of the Gabor-based Gaussian window frame set of basis and testing functions. The application of the Gaussian window frame provides (i) a mathematically exact and robust tool for spatial-spectral phase-space formulation and analysis of the problem; (ii) a system of linear equations in a transmission-line like form relating mode-like wave objects of one medium with mode-like wave objects of the second medium; (iii) furthermore, an appropriate setting of the frame parameters yields mode-like wave objects that blend plane wave properties (as if solving in the spectral domain) with Green's function properties (as if solving in the spatial domain); and (iv) a representation of the scattered field with Gaussian-beam propagators that may be used in many large (in terms of wavelengths) systems. A. Shlivinski et al. / Journal of Computational Physics 00 (2015) 1-19 2cavities [8][9][10][11][12][13][14][15][16][17][18][19][20]. Both of these applications involves a rich variety of physical phenomena, which should be properly described in computational modeling.An infinite fiber bundle is a periodic structure that can be analyzed within the Floquet-Bloch framework by, for example, an efficient rigorous coupled wave analysis (RCWA), see in [21][22][23][24]. The fiber bundle can be viewed as a volume grating with a periodically discontinuous dielectric constant (see, e.g., [25][26][27][28][29]). However, the perfectly periodic case does not account for the finite structure size and does not naturally lead to extensions involving nonperiodic fiber bundles.This paper concerns with the problem of an electromagnetic beam coupling into a finite fiber bundle, which is a finite array of adjacent parallel dielectric fibers (that can be termed "unit-cells") that are fused together and can be periodic or non-periodic (see in Fig. 1). Due to the finite size and possibly non-periodicity the Floquet-Bloch framework does not directly apply to this case. Instead, we treat the whole structure as an electromagnetic scattering problem with PMCHWT-type (Poggio, Miller, Chew, Harrington, Wu and Tsai) surface integral equation without direct recourse to the periodicity [30][31][32][33]. We employ a spectral-spatial (phase-space) analysis and synthesis within a method of moment (MoM) Gabor-based Gaussian window frame formulation. In the MoM Gabor-based Gaussian window frame formulation the rigorous frame theory [34,35] was used with Gaussian window functions to establish an overcomplete Gabor frame set to be applied in a computational electromagnetics wave field framework. The Gabor frames for electromagnetic wave field expansions was used in, e.g., [36][37][38][39][40][41][42][43] to provide more numerical robustness and stability as compared to the complete Gabor expansion with...

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Gaussian wave beam scattering on reflect phased antenna array with shorted rectangular cross-section waveguides

Gribovsky

Yeliseyev

2012

2012 International Conference on Mathematical Methods in Electromagnetic Theory

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Gaussian Beam Scattering on Two-Dimensional Periodic Aperture Array

Cited by 5 publications

References 25 publications

The Elliptic Gaussian Beam Scattering on Phased Antenna Array With Rectangular Waveguides

The Elliptic Gaussian Beam Scattering on Phased Antenna Array With Rectangular Waveguides

Gaussian-windowed frame based method of moments formulation of surface-integral-equation for extended apertures

Gaussian wave beam scattering on reflect phased antenna array with shorted rectangular cross-section waveguides

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