KFU. Card publication. On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall

KAZAN
FEDERAL UNIVERSITY

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ON THE EIGEN FREQUENCIES OF RECTANGULAR RESONATOR WITH A HOLE IN THE WALL

Form of presentation

Russian monographs

Year of publication

2019

Authors, employees of KFU

Abgaryan Levan Vladimirovich, author

Pleshhinskiy Nikolay Borisovich, author

Authors, postgraduates KFU

Abgaryan Garnik Vladimirovich, postgraduate kfu

Bibliographic description in the original language

Abgaryan G.V, Pleshchinskii N.B., On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall//Lobachevskii Journal of Mathematics. - 2019. - Vol.40, Is.10. - P.1631-1639.

Annotation

The rectangular waveguide is attached to a hole in a wall of rectangular resonator and the corresponding to the hole part of the waveguide boundary is cross-section of the waveguide. The problem of excitation of the resonator by an eigen wave of the waveguide is investigated. The condition on a hole is obtained from the condition dening the wave in the waveguide, outgoing from cross-section. The initial diraction problem is reduced to some innite set of linear algebraic equations. Numerical experiment shows that the dependence of expansion coecients of the eld in the resonator on frequency of exciting wave has resonant nature. We propose to use the real values of the resonance frequencies of the running on the hole wave as the initial approximations for eigen frequencies of the resonator with a hole in the wall.

Keywords

eigen frequency, rectangular resonator, hole in wall

Place of publication

Kazan

Publishing house

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/record/display.uri?eid=2-s2.0-85073538184&doi=10.1134%2fS1995080219100020&origin=inward&txGid=b106c7dedd163b7ea4c23bca39e7baf6

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=226840&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Abgaryan Levan Vladimirovich	ru_RU
dc.contributor.author	Pleshhinskiy Nikolay Borisovich	ru_RU
dc.contributor.author	Abgaryan Garnik Vladimirovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Abgaryan G.V, Pleshchinskii N.B., On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall//Lobachevskii Journal of Mathematics. - 2019. - Vol.40, Is.10. - P.1631-1639.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=226840&p_lang=2	ru_RU
dc.description.abstract	The rectangular waveguide is attached to a hole in a wall of rectangular resonator and the corresponding to the hole part of the waveguide boundary is cross-section of the waveguide. The problem of excitation of the resonator by an eigen wave of the waveguide is investigated. The condition on a hole is obtained from the condition dening the wave in the waveguide, outgoing from cross-section. The initial diraction problem is reduced to some innite set of linear algebraic equations. Numerical experiment shows that the dependence of expansion coecients of the eld in the resonator on frequency of exciting wave has resonant nature. We propose to use the real values of the resonance frequencies of the running on the hole wave as the initial approximations for eigen frequencies of the resonator with a hole in the wall.	ru_RU
dc.language.iso	ru	ru_RU
dc.publisher	Lobachevskii Journal of Mathematics	ru_RU
dc.subject	eigen frequency	ru_RU
dc.subject	rectangular resonator	ru_RU
dc.subject	hole in wall	ru_RU
dc.title	On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall	ru_RU
dc.type	Russian monographs	ru_RU