Parametric excitation of nonlinear standing waves in acoustic resonator

The paper deals with parametric excitation of nonlinear standing waves in acoustic resonators. There are a number of methods which enable to generate intensive acoustic fields confined to resonators. The acoustic system, which is composed of an acoustic resonator and source, is often bulky and expensive. For this reason we designed a method which is inexpensive and at the same time enables miniaturization of the discussed acoustic system. This method is based on the use of a parametric acoustic piston source which radiates an amplitude modulated ultrasonic waves. The carrier ultrasonic wave is the finite amplitude one hence the nonlinearity of the fluid enables to self-demodulate the amplitude modulated ultrasonic waves. The approximate solutions were found for the used model equation. From the realized analysis it follows that parametric excitation of nonlinear standing waves inside of the acoustic resonators represent a perspective method.