Abstract
Calculations of the transient radiation pattern in the farfield of rectangular transducers often employ the impulse response of the velocity potential. Analytical expressions for the impulse response are known for lossless media, and similar expressions are needed for propagation in viscous media. To validate these analytical expressions, numerical solutions are obtained with two different Green's functions for viscous media. One solution, which is causal, is based on an approximate Green's function for the Stokes wave equation, and the other solution, which is noncausal, is based on an approximate Green's function for the Blackstock wave equation. The impulse response is calculated with these Green's functions using the Rayleigh-Sommerfeld integral. Numerical results are obtained for a 1mm by 1mm square transducer evaluated in the farfield region with 400 abscissas in each direction. The results show that the causal and noncausal solutions are nearly identical in the farfield region. [supported in part by NIH Grant R01 EB012079].
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