Gaussian Beam Scattering from a Semicircular Channel in a Conducting Plane

Shen, Tao; Dou, Wenbin; Sun, Zhenyu

doi:10.2528/pier96042200

Cited by 13 publications

(20 citation statements)

References 6 publications

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“…(s) n is unknown scattered field coefficient and Ms (4) n is the Mathieu function which corresponds to Hankel function of the second kind in circular coordinates and has the relationship of Ms…”

Section: Formulationmentioning

confidence: 99%

“…Later, this method has been applied to semi-elliptical channel in perfect conducting ground plane [3]. Others have used this method to investigate scattering of -Gaussian beam from semi-circular channel [4], semi-circular channel loaded with conducting and dielectric cylindrical core [5] and lately conducting elliptical core loading semi-elliptic cannel [6]. Also there have been other reports based on numerical solution [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Scattering From Semi-Elliptic Channel Loaded With Impedance Elliptical Cylinder

Zahedi¹,

Abrishamian²

2008

PIER

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Abstract-Analytical TM scattering from semi-elliptic channel loaded with confocal elliptic cylindrical impedance core is investigated. Fields in every regions are expressed appropriately in terms of Mathieu functions. Applying boundary conditions at the impedance core and across different regions of channels and using orthogonality of angular Mathieu functions result in two simultaneous set of equations which would be solved numerically.

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Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scattering From Semi-Elliptic Channel Loaded With Impedance Elliptical Cylinder

Zahedi¹,

Abrishamian²

2008

PIER

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“…In this paper, we only consider the plane wave incidences although it is easier to extend to Gaussian beam incidence as in [16]. From Fig.…”

Section: Incident Wave Expansion and Far Field Calculationmentioning

confidence: 99%

A Novel Coupled T-Matrix and Microwave Network Approach for Multiple Scattering From Parallel Semicircular Channels With Eccentric Cylindrical Inclusions

Zhang¹,

Bauer²,

Li³

2005

PIER

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Abstract-A novel coupled T-matrix and microwave network approach is proposed for the multiple scattering from parallel semicircular channels. First, an equivalent network is set up to derive the T-matrix of a single channel, in which the S-parameters are derived for the semicircular boundary and the T-matrix of the inclusive cylinders is served as loading matrix of s-parameters. In addition, the T-matrix of the inclusive cylinders is obtained from the T-matrix of each cylinder in its local coordinates using the addition theorem of cylindrical harmonics. Thus, the T-matrix description of semicircular channels could be obtained steadily by the equivalent microwave network theory. Second, the addition theorems in half space are derived and utilized to take account of multiple scattering from several parallel channels. Comparing with previous dual-series eigenfunction solutions, the coupled method simplifies the analysis and could handle much more complex structures step by step. The method is verified by comparison with previous publications and both TM and TE wave illumination are considered.

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“…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%

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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Gaussian Beam Scattering from a Semicircular Channel in a Conducting Plane

Cited by 13 publications

References 6 publications

Scattering From Semi-Elliptic Channel Loaded With Impedance Elliptical Cylinder

Scattering From Semi-Elliptic Channel Loaded With Impedance Elliptical Cylinder

A Novel Coupled T-Matrix and Microwave Network Approach for Multiple Scattering From Parallel Semicircular Channels With Eccentric Cylindrical Inclusions

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

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