Publication de 12 numéros par an
ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009
Indexed in
SCATTERING OF H-POLARIZED WAVES BY PRE-FRACTAL DIFFRACTION GRATINGS
RÉSUMÉ
The study continues the works on developing fundamentals of an electromagnetic theory of pre-fractal diffraction gratings (PFDG). A PFDG consists of strips located within a plane according to segments which form a certain stage of generation of a self-similar fractal with variable Hausdorff dimension. The problem of plane H-polarized electromagnetic wave scattering by the PFDG is treated in the classically rigorous formulation. Making use of the integral equation technique the 2D exterior Neumann problem for the Helmholtz equation is reduced to a 1D problem of solving a set of integro-differential equations and then to a set of integral equations. A technique is suggested for solving the problem for an asymptotic model of loose PFDGs. The efficiency of the model is illustrated by the case study of a diffraction grating consisting of two strips. Direction patterns are calculated numerically and compared with familiar results.
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Koshovy George I., Pre-fractal gratings of PEC strips, 2016 IEEE International Conference on Mathematical Methods in Electromagnetic Theory (MMET), 2016. Crossref
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Koshovy G. I., Mathematical models of acoustic wave scattering by impedance strip, 2017 XXIInd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2017. Crossref
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Koshovy George I., Asymptotic models of weakly filled PFSG, 2016 XXIst International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2016. Crossref
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Koshovy George I., Diffraction of H-polarized electromagnetic wave by pre-fractal system of slots in PEC screen, 2017 IEEE First Ukraine Conference on Electrical and Computer Engineering (UKRCON), 2017. Crossref
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Koshovy George I., Electromagnetic Wave Scattering by Pre Fractal Grating of Impedance Strips, 2019 IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON), 2019. Crossref
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Koshovy George I., The plane H-polarized electromagnetic wave scattering by pre-fractal grating of impedance strips, International Journal of Microwave and Wireless Technologies, 12, 10, 2020. Crossref
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Kaliberda Mstislav E., Lytvynenko Leonid M., Pogarsky Sergey A., Singular integral equations in plane wave scattering by infinite graphene strip grating with brake of periodicity, Frequenz, 75, 7-8, 2021. Crossref
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Koshovy George I., Rigorous Asymptotic Models of Wave Scattering by Finite Flat Gratings of Electrically Narrow Impedance Strips, 2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET), 2018. Crossref
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Koshovy George I., Modeling of Electromagnetic Wave Scattering and Propagation in the Presence of a Pre-Fractal PEC Strip Grating, 2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET), 2018. Crossref
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Koshovy George I., Mathematical Models of Acoustic Wave Scattering by a Finite Flat Impedance Strip Grating, 2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2018. Crossref
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Koshovy George I., Koshovy Andrew G., The Carleman regularization technique in the modelling of the plane E ‐polarized electromagnetic wave scattering by a flat system of impedance strips , IET Microwaves, Antennas & Propagation, 15, 10, 2021. Crossref
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Koshovy George I., The Cauchy method of analytical regularisation in the modelling of plane wave scattering by a flat pre‐fractal system of impedance strips, IET Microwaves, Antennas & Propagation, 15, 10, 2021. Crossref