Physical Interpretation of Strict Solutions of Diffraction Problems by Heuristic Relations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04324-8
Abstract: We propose a new approach to construct heuristic relations describing solutions of diffraction problems. Those relations are based on physical principles and allow one to interpret mathematically strict solutions. Since the heuristic relations possess high… read more here.
Keywords: heuristic relations; physical interpretation; diffraction; diffraction problems ... See more keywords
Diffraction problems for two-dimensional lattice waves in a quadrant
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DOI: 10.1016/j.wavemoti.2020.102671
Abstract: Abstract Motivated by applications of recent interest related to propagation problems in the left-handed 2D inductor-capacitor metamaterial and standard 2D inductor-capacitor lattice with monochromatic inputs along the left and bottom boundary of a rectangular slab,… read more here.
Keywords: problems two; two dimensional; dimensional lattice; diffraction problems ... See more keywords
Edge Catastrophes in Diffraction Problems
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DOI: 10.1134/s1064226919110160
Abstract: Abstract—The application of the wave theory of edge catastrophes to the asymptotic solution of diffraction problems on bodies with curvilinear edges is considered. As an example, the diffraction of a converging scalar wave on a… read more here.
Keywords: diffraction; diffraction problems; edge catastrophes; catastrophes diffraction ... See more keywords