Time-Domain Model for a Hydroacoustic Transducer Array
2006
Benthien, George W. | Barach, Don
This report contains a description of a mathematical model for a hydroacoustic transducer array. Previous models have attempted to couple frequency-domain models for the acoustic field with time-domain models for the internal components of the transducer. In this report, we present a complete time-domain model for the coupled transducer/acoustic-field problem that is applicable to both single elements and arrays. This model can also handle nonsinusoidal signals, which is important since linear superposition is not valid for nonlinear devices. The acoustic radiation model involves obtaining certain interaction coefficients in the frequency domain and then transforming these coefficients to the time domain by using Fourier transforms. When these coefficients are combined with a model for the internal components, the result is a coupled set of differential-integral equations that can be solved by an explicit time-stepping procedure. For purposes of validation, the time-domain acoustic-radiation model was applied to a simple linear transducer array for which the solution could also be obtained by the standard frequency-domain approach. The agreement between the two approaches was excellent. The time- domain model was also compared with experimental data for a three-element close- packed array. The agreement was reasonably good in both level and trends
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