Explicit analytical results for one-mode oblique penetration into a periodic array of screens |
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| Authors: | SCARPETTA, EDOARDO SUMBATYAN, MEZHLUM A. |
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| Affiliation: | Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, Università di Salerno 84084 Fisciano (SA), Italy
Research Institute of Mechanics and Applied Mathematics, 200/1 Stachki Prospect Rostov-on-Don 344104, Russia |
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| Abstract: | An analytical approach to scattering of a plane scalar wavethrough a periodic array of rigid screens is studied. The one-modeproblem with oblique incidence is considered and reduced toan integral equation (of the first kind) holding over each opening.An approximated form is given to the kernel so as to deriveexplicit results for the reflection and transmission coefficients.Numerical investigation and comparison with previous resultsare finally made and reflected on some figures. |
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