Mathematical Model for a Standing-Wave Acoustic Parametric Source (SWAPS)
Abstract
A standing-wave acoustic parametric source (SWAPS) is proposed as a small, low-frequency underwater sound source. SWAPS is a liquid-filled cylindrical tube which is driven at one end by a piston transducer and terminated on the other end by a pressure-release reflector to form a resonant cavity. The piston is driven simultaneously at two high frequencies omega 1 and omega 2 which are at or near resonance for the plane-wave mode in the cavity. The resulting large-amplitude primary sound waves mix nonlinearly to produce secondary sound waves. The secondary wave at the low difference frequency omega 1 - omega 2 passes easily through the relatively thin tube walls and radiates to the far field. In this report the far-field radiation at the difference frequency is calculated by use of the virtual-source-density method. The results are expressed in terms of a quality factor that describes the resonance properties of the system when difference-frequency radiation is being generated. This quality factor, which must be determined experimentally, is an input to the mathematical model. Comparison is made to a traveling-wave acoustic parametric source which employs the same piston transducer as a pump.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1973
- Accession Number
- AD0764047
Entities
People
- Arnie L. Van Buren
- Peter H. Rogers
Organizations
- United States Naval Research Laboratory