Wiener–Hopf analysis of the diffraction by a thin material strip

Nagasaka, Takashi; Kobayashi, Kazuya

doi:10.1049/sbew528e_ch11

Cited by 1 publication

(2 citation statements)

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“…is the spectral propagation constant in the dielectric medium (28). We relate surface waves and leaky waves to poles of Y t2 −1 (η) that are, respectively, proper and improper zeros of f (η) [as defined in (86)] when the conventional branch line of δ(η) is selected, i.e., I m[δ(η)] = 0.…”

Section: B Structural Waves For X < 0: Surface Waves Leaky Waves and ...mentioning

confidence: 99%

“…The proposed novel semianalytical method is based on the WH technique combined with the Fredholm factorization method [20], [21] that allows the study of the problem independently of the thickness and the density of the penetrable semi-infinite layer correctly considering near-field interaction. In particular, we note that the WH literature on similar problems reports procedures based on Jones's like methods (see [21], [22], [23], [24], [25], [26], [27], [28]) where a system of infinite equations is solved approximately to get the solution of the modified WH problem. This method was adopted in particular in [15], [16], [17], and [18] where an ad hoc prefactorization of scalar functions is needed.…”

Section: Introductionmentioning

confidence: 99%

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Physical and Spectral Analysis of a Semi-Infinite Grounded Slab Illuminated by Plane Waves

Daniele

Lombardi

Zich

2022

IEEE Trans. Antennas Propagat.

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In this article, we study the scattering problem of a truncated grounded slab illuminated by an arbitrarily incident E z -polarized plane wave. We present a solution using the novel semianalytical spectral method based on an original extension of the Wiener-Hopf (WH) technique that uses the concept of characteristic Green's function and the Fredholm factorization technique. The combination of these mathematical tools allows to extend the capabilities of classical WH method to a new set of problems. One of the main benefits of the proposed semianalytical solution is that it allows the computation of field components similar to what is done with closed-form spectral solutions when available. Physical phenomena, such as the reflection, diffraction, and excitation of surface/leaky waves, are reported. Numerical results validate the proposed methodology.

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Section: B Structural Waves For X < 0: Surface Waves Leaky Waves and ...mentioning

confidence: 99%