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TE-Polarized Electr...
TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder
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- Abgaryan, Garnik V. (författare)
- Department of Applied Mathematics and Artificial Intelligence, Institute of Computational Mathematics and Information Technology, Kazan Federal University, Kremlevskaya Street 35, Kazan 420008, Russia
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- Shestopalov, Yury, 1953- (författare)
- Högskolan i Gävle,Matematik,Russian Technological University MIREA, Moscow 119454, Russia
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(creator_code:org_t)
- MDPI, 2023
- 2023
- Engelska.
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Ingår i: Mathematics. - : MDPI. - 2227-7390. ; 11:9
- Relaterad länk:
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https://doi.org/10.3...
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visa fler...
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https://hig.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.3...
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Abstract
Ämnesord
Stäng
- The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the second kind (SLAE-II) using integral summation identities (ISI). A detailed study of the matrix operator of the problem is performed and its Fredholm property in the weighted Hilbert space of infinite sequences is proven. The convergence of the truncation method constructed in the paper for the numerical solution of SLAE-II is justified and the results of computations are presented and discussed, specifically considering the determination of resonance modes.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- slot resonator; diffraction problem; Helmholtz equation; Fredholm property; infinite linear algebraic equation system
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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