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Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v73.i6.10
pages 475-487

MIXED STATE IN A COMBINED ANNULAR BILLIARD

Yu.L. Bolotin
A. Akhiezer Institute for Theoretical Physics at the NSC KIPT, of the National Academy of Sciences of Ukraine 1, Akademichna St., 61108 Kharkiv, Ukraine
I.Yu. Vakulchik
V. Karazin Kharkiv National University 4, Svoboda Sq., 61077 Kharkiv, Ukraine
K. A. Lukin
A.Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine
V.A. Cherkaskiy
A. Akhiezer Institute for Theoretical Physics at the NSC KIPT, of the National Academy of Sciences of Ukraine 1, Akademichna St., 61108 Kharkiv, Ukraine

ABSTRAKT

Annular billiards are among the well-accepted models for studying of fundamental properties of quantum and wave chaos in the modern quantum mechanics and microwave electrodynamics, respectively. In the present paper we propose the model suitable for both areas mentioned above, namely: the compound billiards composed of two annular billiards (the chaotic and the regular ones) connected via a narrow crosspiece (narrow waveguide). By means of numerical methods some distributions of particle energy levels (resonant frequencies) and corresponding spatial distributions of wave function squared (a square of the electric field component) are investigated. Chaotization of particle motion in regular billiards has been shown in case of weak influence of almost isolated chaotic annular billiard. Existence of the mixed regular-chaotic states in the investigated billiards has been shown and their possible application in chaos generators is specified.


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