Analytical solution for the 2D diffraction of electromagnetic wave by a truncated wedge

Vesnik, Michael V.

doi:10.1134/s1064226912090136

Cited by 3 publications

(4 citation statements)

References 12 publications

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“…(2) factor that takes into account the shape of 2-D wedge and the difference between diffraction coefficients of physical optics and rigorous solutions [Vesnik, 2001[Vesnik, , 2008[Vesnik, , 2012;…”

Section: Discussionmentioning

confidence: 99%

“…Terms from the sum mentioned above include the following factors: (1) contribution of physical optics [ Gordon , ; Vesnik and Ufimtsev , ; Vesnik , ]; (2) factor that takes into account the shape of 2‐D wedge and the difference between diffraction coefficients of physical optics and rigorous solutions [ Vesnik , , , ]; (3) factor that takes into account the finiteness of the edge length [ Vesnik , ]. During a heuristic solution construction the following factors should be also considered; (4) diffraction coefficients modification in order to take into account boundary conditions on the surface of a scatterer [ Vesnik , ]; and (5) application principles of model diffraction problems solutions during the construction of heuristic solutions for 2‐D and 3‐D finite and semiinfinite size scatterers taking into account areas of the stationary phase on the surfaces and edges (this paper).…”

Section: Discussionmentioning

confidence: 99%

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Efficiency of different heuristic approaches to calculation of electromagnetic diffraction by polyhedrons and other scatterers

Vesnik

2014

Radio Science

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Different heuristic approaches, such as physical optics method, method of equivalent edge currents, and newly developed modified method of equivalent edge currents are exemplified in a problem of electromagnetic diffraction by a plane angular sector. Comparing with rigorous results has shown that for the problem of electromagnetic diffraction by polyhedrons physical optics method can lead to serious mistakes, method of equivalent edge currents gives a qualitatively correct solution and modified solution by equivalent edge currents method is the most close to a rigorous one. Results of this work can be extended to many scientific and engineering applications in various fields of physics and technology.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Efficiency of different heuristic approaches to calculation of electromagnetic diffraction by polyhedrons and other scatterers

Vesnik

2014

Radio Science

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“…Verification of these primary formulas showed that when the degree of transparency changes, formulas (24) and (25) transform to formulas (26) and (27) [44,45].…”

Section: Diffraction Coefficients Gdc (Generalized Diffraction Coeffi...mentioning

confidence: 99%

“…• Solutions to the problem of diffraction by perfectly conducting semi-infinite edges of different profiles (2D) [22][23][24][25][26][27][28].…”

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confidence: 99%

New Possibilities for Constructing Heuristic Solutions to Problems of Electromagnetic Diffraction

Vesnik

2022

Eng

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The paper formulates the foundations of a recently developed approach, named the method of fundamental components, intended for constructing heuristic solutions in problems of electromagnetic diffraction, for the first time. The difference between the new method and the known heuristic approaches lies in the application of an adjustment procedure that increases the accuracy. The possibility of the mentioned method for obtaining new results is illustrated with the help of the author’s previously published works. The advantages of the new method in constructing high-speed solvers and in the physical interpretation of numerical solutions are shown.

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On the Possibility of Employing Heuristic Approaches to Obtain Highly Accurate Analytical Solutions

Vesnik

2022

2022 IEEE 8th All-Russian Microwave Conference (RMC)

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Analytical solution for the 2D diffraction of electromagnetic wave by a truncated wedge

Cited by 3 publications

References 12 publications

Efficiency of different heuristic approaches to calculation of electromagnetic diffraction by polyhedrons and other scatterers

Efficiency of different heuristic approaches to calculation of electromagnetic diffraction by polyhedrons and other scatterers

New Possibilities for Constructing Heuristic Solutions to Problems of Electromagnetic Diffraction

On the Possibility of Employing Heuristic Approaches to Obtain Highly Accurate Analytical Solutions

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