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Czechoslovak Journal of Physics

, Volume 54, Issue 3, pp 349–355 | Cite as

Description of quasi-plane nonlinear standing waves in cylindrical resonators

  • M. Bednařík
  • P. Koníček
Article

Abstract

Many works have been dedicated to the problems of description of the nonlinear standing waves in the resonators of the circular cross-section. These works are restricted only to strictly plane waves. This paper connects to these works and extends them in the sense that it deals with quasi-plane nonlinear standing waves in the resonators of constant circular cross-section. Under certain suppositions it is possible to simplify the original Kuznetsov’s model equation and get the new much simpler model equation. This equation enables us to study the diffraction and lateral dispersion effects caused by the non-constant distributions of acoustic velocity on the exciting piston.

PACS

43.20.Ks 43.25.Jh 

Key words

nonlinear standing waves diffraction Kuznetsov’s model equation nonlinear resonator 

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Copyright information

© Springer 2004

Authors and Affiliations

  • M. Bednařík
    • 1
  • P. Koníček
    • 1
  1. 1.Faculty of Electrical EngineeringCzech Technical University in PraguePraha 6Czech Republic

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