Published 12 issues per year
ISSN Print: 0040-2508
ISSN Online: 1943-6009
Indexed in
MIXED STATE IN A COMBINED ANNULAR BILLIARD
ABSTRACT
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.