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Audio Application of the Parametric Array - Demonstration through a Numerical Model

Implementing the parametric array for audio applications is examined through numerical modeling and analytical approximation. The analytical solution of the nonlinear wave equation is used to provide guidelines on the design parameters of the parametric array. The solution relates the source size, input pressure level, and the carrier frequency to the audible signal response including the output level, beam width, and length of the interaction region. A time domain finite difference code that accurately solves the KZK nonlinear parabolic wave equation is used to predict the response of the parametric array. The accuracy of the numerical model is established by a simple parametric array experiment. In considering the implementation issues for audio applications of the parametric array, the emphasis is given to the poor frequency response and the harmonic distortion. Signal processing techniques to improve the frequency response and the harmonic distortion are suggested and implemented through the numerical simulation.

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