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A dispersion equation of the cylindrical ideal wall vacuum cavity sinusoidally corrugated in azimuthal direction. Part I. A physically based method obtaining of the dispersion equation

A dispersion equation of the cylindrical ideal wall vacuum cavity sinusoidally corrugated in azimuthal direction. Part I. A physically based method obtaining of the dispersion equation

Dispersive characteristics of a cylindrical cavity with an ideally conducting outer wall has been investigated, whose radius is described by a sinusoidal-periodic dependence on the azimuth angle. From the convergence of the infinite determinant (dispersion equation), we obtain a positive definite bo...

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Bibliographic Details
Main Authors: Maksimenko, A.V., Tkachenko, V.I., Tkachenko, I.V.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2017
Series:Вопросы атомной науки и техники
Subjects:
Теория и техника ускорения частиц
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/136174
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Summary:Dispersive characteristics of a cylindrical cavity with an ideally conducting outer wall has been investigated, whose radius is described by a sinusoidal-periodic dependence on the azimuth angle. From the convergence of the infinite determinant (dispersion equation), we obtain a positive definite bounded algebraic form, whose properties follow the dispersion characteristics of both a smooth and a corrugated cavity. On the basis of the obtained algebraic form, the variances of the first harmonics of a corrugated cavity with an even number of corrugations are investigated. The obtained analytical dependences correspond quantitatively to the experimental data.

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