scholarly journals DIFFRACTION BY CASCADED THICK HALF PLANES COMPOSED OF PEMC METAMATERIAL

2020 ◽  
Vol 4 (2) ◽  
pp. 8-19
Author(s):  
Naeem Ul Haq ◽  
A. B. Mann ◽  
Saeed Ahmed
Keyword(s):  
Plane Wave ◽  
Wave Diffraction ◽  
Analytic Solution ◽  
Numerical Results ◽  
Duality Transformation ◽  
Limiting Case ◽  
Plane Wave Diffraction ◽  
Good Agreement

An analytic solution of plane wave diffraction by three parallel thick half planes composed of PEMC metamaterial is developed. Duality transformation introduced by Lindell and Sihvola is applied to transform the field produced by three semi-infinite, parallel, thick, PEC half planes to the case of three semi-infinite, parallel, thick half planes in PEMC medium. It is observed that PEC medium is the limiting case of PEMC medium. Numerical results are also produced and discussed for the effects of thickness and admittance parameters on the amplitude of the diffracted field. Numerical results are found to be in good agreement with the available numerical results on PEMC metamaterial.

scholarly journals Low-frequency plane wave diffraction on a two-layer grating

2004 ◽  
Vol 1 (3) ◽  
pp. 1-6 ◽  
Author(s):  
Tatijana Dlabac ◽  
Dragan Filipovic
Keyword(s):  
Reflection Coefficient ◽  
Plane Wave ◽  
Network Model ◽  
Wave Diffraction ◽  
Low Frequency ◽  
Numerical Results ◽  
Mode Versus ◽  
Plane Wave Diffraction

In this paper the problem of TE and TM plane wave diffraction from a two-layer grating in low-frequency case is presented. The problem is solved using the network model. Numerical results for the reflection coefficient of the lowest (n=0) mode versus frequency are given and compared to available results from literature.

Rigorous accounting diffraction on non-plane gratings irradiated by non-planar waves

2021 ◽  
Author(s):  
Leonid I. Goray
Keyword(s):  
Plane Wave ◽  
Wave Diffraction ◽  
Plane Waves ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Transverse Magnetic ◽  
Incident Field ◽  
Boundary Integral ◽  
Cylindrical Waves ◽  
Plane Wave Diffraction

Abstract The modified boundary integral equation method (MIM) is considered a rigorous theoretical application for the diffraction of cylindrical waves by arbitrary profiled plane gratings, as well as for the diffraction of plane/non-planar waves by concave/convex gratings. This study investigates two-dimensional (2D) diffraction problems of the filiform source electromagnetic field scattered by a plane lamellar grating and of plane waves scattered by a similar cylindrical-shaped grating. Unlike the problem of plane wave diffraction by a plane grating, the field of a localised source does not satisfy the quasi-periodicity requirement. Fourier transform is used to reduce the solution of the problem of localised source diffraction by the grating in the whole region to the solution of the problem of diffraction inside one Floquet channel. By considering the periodicity of the geometry structure, the problem of Floquet terms for the image can be formulated so that it enables the application of the MIM developed for plane wave diffraction problems. Accounting of the local structure of an incident field enables both the prediction of the corresponding efficiencies and the specification of the bounds within which the approximation of the incident field with plane waves is correct. For 2D diffraction problems of the high-conductive plane grating irradiated by cylindrical waves and the cylindrical high-conductive grating irradiated by plane waves, decompositions in sets of plane waves/sections are investigated. The application of such decomposition, including the dependence on the number of plane waves/sections and radii of the grating and wave front shape, was demonstrated for lamellar, sinusoidal and saw-tooth grating examples in the 0th & –1st orders as well as in the transverse electric and transverse magnetic polarisations. The primary effects of plane wave/section partitions of non-planar wave fronts and curved grating shapes on the exact solutions for 2D and three-dimensional (conical) diffraction problems are discussed.

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