Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimir: 0040-2508
ISSN En Línea: 1943-6009

Volumes:
Volumen 78, 2019 Volumen 77, 2018 Volumen 76, 2017 Volumen 75, 2016 Volumen 74, 2015 Volumen 73, 2014 Volumen 72, 2013 Volumen 71, 2012 Volumen 70, 2011 Volumen 69, 2010 Volumen 68, 2009 Volumen 67, 2008 Volumen 66, 2007 Volumen 65, 2006 Volumen 64, 2005 Volumen 63, 2005 Volumen 62, 2004 Volumen 61, 2004 Volumen 60, 2003 Volumen 59, 2003 Volumen 58, 2002 Volumen 57, 2002 Volumen 56, 2001 Volumen 55, 2001 Volumen 54, 2000 Volumen 53, 1999 Volumen 52, 1998 Volumen 51, 1997

Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v73.i8.10
pages 657-667

INTERMODE SCATTERING AS A SOURCE OF QUANTUM CHAOS IN A MICROWAVE RESONATOR SUBJECTED TO SINGULAR PERTURBATION

Ye. M. Ganapolsky
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine
Yu. V. Tarasov
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkiv 61085, Ukraine

SINOPSIS

The spectra of a microwave cylindrical resonator with the embedded thin metal rod playing the role of a singular perturbation are studied both theoretically and experimentally. The intra- and inter-mode scattering caused by the perturbation are clearly distinguished and recognized to play essentially different parts in the appearance of spectrum chaotic properties. Statistical analysis based on the mode-mixing operator norm shows that the singularity-induced inter-mode scattering results in the essential correlation of resonance frequencies. The results we have obtained in the experiment are in good conformity with our theory. Clear manifestations of quantum chaos are revealed for the resonator with the asymmetrically inserted rod, namely, the Wigner-type distribution of the inter-frequency intervals, the apparent correlation between spectral lines, and the characteristic curve of the spectral rigidity. By comparing the theory and the experiment we succeeded in establishing unequivocally and for the first time that it is just the inter-mode scattering that gives rise to quantum chaos in the spectrum of wave-billiard systems subjected to singular perturbation.


Articles with similar content:

ONSET OF THE QUANTUM CHAOS (WAVE CHAOS) IN A CYLINDRICAL RESONANT CAVITY WITH SINGULAR DISTURBANCES
Telecommunications and Radio Engineering, Vol.74, 2015, issue 8
Ye. M. Ganapolsky
Stochastic Properties of a Cavity Resonator Filled with Randomly Located Sapphire Particles
Telecommunications and Radio Engineering, Vol.55, 2001, issue 10-11
Ye. M. Ganapolsky, Z. Ye. Eremenko
MIXED STATE IN A COMBINED ANNULAR BILLIARD
Telecommunications and Radio Engineering, Vol.73, 2014, issue 6
I.Yu. Vakulchik, K. A. Lukin, Yu.L. Bolotin, V.A. Cherkaskiy
Influence of Random Volumetric Irregularities on the Microwave Quasi-Optical Resonator Spectrum. Experiment
Telecommunications and Radio Engineering, Vol.67, 2008, issue 20
Ye. M. Ganapolsky, Yu. V. Tarasov, Z. Ye. Eremenko
AN ANALOG TO THE SECOND ORDER PHASE TRANSITION IN A QUASI-OPTICAL MICROWAVE CAVITY RESONATOR
Telecommunications and Radio Engineering, Vol.74, 2015, issue 19
Ye. M. Ganapolsky