Diffraction coefficients and field patterns of obtuse angle dielectric wedge illuminated by E-polarized plane wave

Kim, S.-Y.

doi:10.1109/8.202721

Cited by 3 publications

(1 citation statement)

References 3 publications

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“…As a detour, we performed the physical optics (PO) approximation on the lit boundary of a dielectric wedge [2]. Next, the correction to the PO diffraction coefficients was implemented by numerically calculating the non-uniform currents on its lit and shadow boundaries [3,4].…”

Section: Introductionmentioning

confidence: 99%

Review of the Hidden Rays of Diffraction

Kim¹

2015

Journal of electromagnetic engineering and science

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A high-frequency analysis technique, called the hidden rays of diffraction (HRD), is reviewed in this paper. The physical optics and the rigorous diffraction coefficients of a perfectly conducting wedge illuminated by a plane wave are compared. The physical existence of hidden rays on the shadow boundary is explained in view of the geometric theory of diffraction (GTD). In particular, a systematic tracing of hidden rays and its visualization are precisely described by introducing the concept of the supplementary boundary. The physical meaning of the null-field condition in the complementary region is also explained.Key Words: Diffraction, Edge, Physical Optics, Ray-Tracing, Wedge. This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. ⓒ

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Section: Introductionmentioning

confidence: 99%

Review of the Hidden Rays of Diffraction

Kim¹

2015

Journal of electromagnetic engineering and science

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Plane-wave diffraction by an obtuse-angled dielectric wedge

Gennarelli

Riccio

2011

J. Opt. Soc. Am. A

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Uniform high-frequency solutions in closed form are derived for the diffraction of a plane wave normally impacting on a penetrable wedge having an obtuse apex angle and arbitrary dielectric permittivity. The approach used here takes advantage of a physical optics approximation for the electric and magnetic equivalent surface currents in the scattering integrals related to the inner region of the wedge and the surrounding space. Numerical tests and comparisons with finite-difference time-domain results demonstrate the accuracy and effectiveness of the proposed solutions.

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Penetrable Wedge Analysis

Scharstein¹,

Davis²

1993

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We can now confidently state that the pair of coupled difference equations, that arose [61] in the Kontorovich-Lebedev analysis of the actual Leontovich-boundary-condition wedge, are a more complicated and therefore inferior version of William's [7] formulae. Although the literature has concentrated on the formulation of .Maliuzhinets [6], an asymptotic evaluation of the Williams result to extract high frequency diffraction mechanisms would ultimately duplicate the work of Tiberio, et al [10], since the Williams and Maliuzhinets results are necessarily equivalent. Therefore, we will not be pursuing the physical impedance boundary wedge anymore during the remainder of this grant. INHOMOGENEOUS OR LINEARLY-VARYING IMPEDANCE BOUNDARYFelsen's 1959 (!) paper [661 presents a rather complete analysis and discussion of this curious problem that I re-discovered in 1992 [61]. A thorough dissection and understanding of Felsen's work is required before any meaningful extensions or extrapolations can be made. This has not been done to date, owing to our attention to the: as III. GENERAL PENETRABLE WEDGE 'Since our previous quarterly report of 3 August 1993, and motivated partly by the findings above for both cases of impedance boundaries, we have returned (again!) to the truly penetrable wedge scatterer. A fresh, and in retrospect, logical approach starting with a fundamental application of Green's theorem, has yielded a surface integral equation for a single unknown surface distribution. The kernel is specific to the wedge geometry; the free-space Green's function is not used. The radiation condition is invoked in both regions, ensuring uniqueness of the integral equation solution. The unboundedness of the penetrable scatterer is thusly the very feature of the physical problem that permits this 93 11 26 143Typeset by AVT&X formulation, while rendering integral equations developed [2][3][4][5][18][19][20][21][22]28,59] for finite bodies inefficient and effectively nonapplicable.To extract the physical solution from this exciting and mathematically sound formulation of the boundary value problem, we are concentrating on a creative and physicallymotivated approach to these issues:(1) Choice of a suitable basis in which to expand the surface distribution. Convergence of the solution, as well as physical interpretation and utility, is greatly enhanced through an expansion that anticipates the actual physical behavior. In this problem of a semi-infinite domain, the expected far (r --+ oo) behavior on the wedge surface should be that of the (2) Line-source excitation of the Sommerfeld half-space problem. All wave mechanisms that we can asymptotically pull out of this simpler geometry and account for in the wedge problem are valuable both computationally and conceptually. Abstract (Maximum 200 words).The continuation of this wedge scattering research is proceeding as proposed, with several significant accomplishments and findings to date. The nature of this rigorous mathematical approach to scattering problems is such that origin...

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Diffraction coefficients and field patterns of obtuse angle dielectric wedge illuminated by E-polarized plane wave

Cited by 3 publications

References 3 publications

Review of the Hidden Rays of Diffraction

Review of the Hidden Rays of Diffraction

Plane-wave diffraction by an obtuse-angled dielectric wedge

Penetrable Wedge Analysis

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