Diffraction by an infinite set of soft/hard parallel half planes

Lüneburg, E.; Hurd, R. A.

doi:10.1029/rs017i003p00453

Cited by 19 publications

(13 citation statements)

References 11 publications

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“…[5][6][7]), while the Daniele-Khrapkov method proposed independently by Daniele [8] and Khrapkov [9] is effective for a class of matrices having only pole singularities and branch-cut singularities besides pole singularities (see e.g. [10][11][12][13]). …”

Section: Introductionmentioning

confidence: 99%

Scattering of plane waves by the junction of transmissive and soft-hard half-planes

Büyükaksoy

Çınar

Serbest

2004

Z. angew. Math. Phys.

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A uniform asymptotic high frequency solution is developed for the diffraction of plane waves by the junction of two half-planes. One of the half-planes is assumed to be characterized by "Senior's resistive-type" partially transmissive boundary conditions and the other is soft at the top and hard at the bottom. The related boundary-value problem is formulated as a matrix Wiener-Hopf equation which is solved explicitly through the Daniele-Khrapkov method. Some graphical results are also presented.

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Section: Introductionmentioning

confidence: 99%

Scattering of plane waves by the junction of transmissive and soft-hard half-planes

Büyükaksoy

Çınar

Serbest

2004

Z. angew. Math. Phys.

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“…The Wiener-Hopf technique [15][16][17][18] is known as a powerful approach for analyzing electromagnetic wave problems associated with canonical geometries rigorously, and can be applied efficiently to the problems of diffraction by specific periodic structures such as gratings. There are significant contributions to the analysis of the diffraction by gratings and other related structures based on the Wiener-Hopf technique [19][20][21][22][23][24][25]. In the previous papers [26][27][28][29], we have analyzed the diffraction problems involving transmission-type gratings with the aid of the Wiener-Hopf technique, where rigorous solutions valid over a broad frequency range have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Plane Wave Diffraction by a Finite Parallel-Plate Waveguide With Sinusoidal Wall Corrugation

Eizawa¹,

Kobayashi²

2017

PIER B

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Abstract-The diffraction by a finite parallel-plate waveguide with sinusoidal wall corrugation is analyzed for the E-polarized plane wave incidence using the Wiener-Hopf technique combined with the perturbation method. Assuming that the corrugation amplitude of the waveguide walls is small compared with the wavelength and expanding the boundary condition on the waveguide surface into the Taylor series, the problem is reduced to the diffraction by a flat, finite parallel-plate waveguide with a certain mixed boundary condition. Introducing the Fourier transform for the unknown scattered field and applying an approximate boundary condition together with a perturbation series expansion for the scattered field, the problem is formulated in terms of the zero-order and the first-order Wiener-Hopf equations. The Wiener-Hopf equations are solved via the factorization and decomposition procedure leading to the exact and asymptotic solutions. Taking the inverse Fourier transform and applying the saddle point method, a scattered far field expression is derived explicitly. Scattering characteristics of the waveguide are discussed in detail via numerical examples of the radar cross section (RCS).

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“…The Wiener-Hopf technique [13][14][15][16] is known as a powerful approach for analyzing electromagnetic wave problems associated with canonical geometries rigorously, and can be applied efficiently to problems of the diffraction by specific periodic structures such as gratings. There are significant contributions to the analysis of the diffraction by gratings and other related structures based on the Wiener-Hopf technique [17][18][19][20][21][22][23]. In the previous papers, we have analyzed the diffraction problems involving transmission-type gratings with the aid of the Wiener-Hopf technique [24][25][26][27], where rigorous solutions valid over a broad frequency range have been obtained.…”

Section: Introductionmentioning

confidence: 99%

WIENER-HOPF ANALYSIS OF THE H-POLARIZED PLANE WAVE DIFFRACTION BY A FINITE SINUSOIDAL GRATING (Invited Paper)

Eizawa¹,

Kobayashi²

2014

PIER

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Abstract-The diffraction by a finite sinusoidal grating is analyzed for the H-polarized plane wave incidence using the Wiener-Hopf technique combined with the perturbation method. Assuming the depth of the grating to be small compared with the wavelength and approximating the boundary condition on the grating surface, the problem is reduced to the diffraction problem involving a flat strip with a certain mixed boundary condition. Introducing the Fourier transform for the unknown scattered field and applying an approximate boundary condition together with a perturbation series expansion for the scattered field, the problem is formulated in terms of the zero-order and first-order Wiener-Hopf equations. The Wiener-Hopf equations are solved via the factorization and decomposition procedure leading to the exact and asymptotic solutions. Taking the inverse Fourier transform and applying the saddle point method, the scattered field expression is explicitly derived. Scattering characteristics of the grating are discussed in detail via numerical examples of the far field intensity.

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Diffraction by an infinite set of soft/hard parallel half planes

Cited by 19 publications

References 11 publications

Scattering of plane waves by the junction of transmissive and soft-hard half-planes

Scattering of plane waves by the junction of transmissive and soft-hard half-planes

Plane Wave Diffraction by a Finite Parallel-Plate Waveguide With Sinusoidal Wall Corrugation

WIENER-HOPF ANALYSIS OF THE H-POLARIZED PLANE WAVE DIFFRACTION BY A FINITE SINUSOIDAL GRATING (Invited Paper)

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