With the required increased audio pressure of the parametric ultrasonic transducer array and the difficulty to theoretically analyse the complex ultrasonic structure in audio beam application,an computationally efficient model is desired to describe the characteristic of the parametric ultrasonic transducer array for the system design and optimization. By applying the symmetry boundary conditions at the mid-plane in the thickness direction,a finite element model based on the half thickness simplification is presented to analyze the parametric circular transducer which is designed by gluing the poly Vinylidene fluoride film（PVDF）. The validity of the proposed model is confirmed by a comparison of finite element analysis results with the theoretical value and experimental data,which show that they are making a good agreement with each other.
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机译：measurement of optical activity (circular birefringence and circular dichroism) for single crystals of cobalt complex and protein crystal by the Extended HaUp method
