Wiener-Hopf Analysis of the Plane Wave Diffraction by a Thin Material Strip

Nagasaka, Takashi; Kobayashi, Kazuya

doi:10.1587/transele.e100.c.11

Cited by 14 publications

(11 citation statements)

References 12 publications

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“…Applying the asymptotic method established in our previous work [1,2] to the branch-cut integrals in (31), we derive an explicit asymptotic solution to the Wiener-Hopf equation ( 20) with the result that…”

Section: Exact and Asymptotic Solutionsmentioning

confidence: 99%

“…The unknowns f us;ud n in (33) are determined by following a procedure similar to that used in [1,2], but the details are omitted here. Equation ( 21) can be also solved in a similar manner.…”

Section: Exact and Asymptotic Solutionsmentioning

confidence: 99%

“…A number of scientists have analyzed slit-diffraction problems using various analytical and numerical methods. In our pervious work [1,2], we have analyzed the plane-wave diffraction by a thin material strip using the Wiener-Hopf technique [3] and approximate boundary conditions [4], and obtained a rigorous, high-frequency solution. In this article, we shall consider a slit in an infinitely thin material screen and analyze the Hpolarized plane-wave diffraction with the aid of the Wiener-Hopf technique by following a procedure similar to that used in [1,2].…”

Section: Introductionmentioning

confidence: 99%

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Plane-Wave Diffraction by a Slit in a Thin Material Screen

2021

RSL

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H-polarized plane-wave diffraction by a slit in a material screen is analyzed using the Wiener-Hopf technique and generalized boundary conditions. Exact and high-frequency asymptotic solutions are obtained. The scattered field is evaluated asymptotically based on the saddle-point method, and a far-field expression is derived. Numerical examples on the farfield intensity are presented and the scattering characteristics of the slit are discussed.

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Section: Exact and Asymptotic Solutionsmentioning

confidence: 99%

Section: Exact and Asymptotic Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plane-Wave Diffraction by a Slit in a Thin Material Screen

2021

RSL

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“…However, the solution is formal because infinite branch-cut integrals with unknown integrands are involved. Applying a novel asymptotic approach developed in our previous articles [8,9], we derive high-frequency solutions in the form of complete asymptotic series. The scattered field in real space is derived by taking the Fourier inverse of the solution in the transform domain and evaluating resulting integrals.…”

Section: Introductionmentioning

confidence: 99%

Plane-Wave Diffraction by a Slit Formed by Two Semi-Infinite Parallel-Plate Waveguides—Part I: The Case of H Polarization

2023

RSL

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The diffraction by a slit formed by two semi-infinite parallel-plate waveguides is rigorously analyzed using the WienerÀHopf technique for the H-polarized plane-wave incidence. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous WienerÀHopf equations, which are solved via the factorization and decomposition procedure leading to exact and highfrequency asymptotic solutions. Taking the inverse Fourier transform and applying the saddle point method, the scattered field in real space is derived. Numerical examples of the far-field intensity are presented and scattering characteristics of the slit are discussed.

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“…Задачи дифракции электромагнитных волн на плоских металлических экранах произвольной формы возникают при исследовании самых разных электродинамических систем, например, при проектировании микрополосковых антенн со сложной формой излучателя. Для их решения необходимо использовать строгие аналитические методы прикладной электродинамики [1][2][3]. Для решения подобных задач также разработан ряд приближенных численных методов [4][5][6].…”

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