Europhys. Lett.
Volume 76, Number 2, October 2006
Page(s) 229 - 235
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 20 September 2006
Europhys. Lett., 76 (2), pp. 229-235 (2006)
DOI: 10.1209/epl/i2006-10267-5

Wave self-modulation in an acoustic resonator due to self-induced transparency

L. Fillinger1, V. Zaitsev2, V. Gusev1 and B. Castagnède1

1  Université du Maine - Avenue Olivier Messiaen, 72085 Le Mans Cedex 09, France
2  Institute of Applied Physics RAS - 46 Uljanova St., Nizhny Novgorod, Russia

received 7 July 2006; accepted in final form 29 August 2006
published online 20 September 2006

Observations and interpretation of modulation instability (MI) in an acoustic resonator with a crack-like defect are presented. This MI is similar in appearance to the conventionally disscussed MI, which arises due to the interplay between the reactive nonlinearity and velocity dispersion. However, the observed MI is due to an essentially different, purely dissipative, mechanism that can be common for waves of different physical nature. The mechanism exhibits interesting peculiarities, for example, the MI threshold can only be reached when the excitation frequency does not coincide with the resonator eigenfrequencies.

43.25.+y - Nonlinear acoustics.
05.45.-a - Nonlinear dynamics and chaos.
46.40.Ff - Resonance, damping, and dynamic stability.

© EDP Sciences 2006