• The Journal of the Acoustical Society of Korea
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• v.20 no.5
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• pp.61-68
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• 2001

In this paper, an analytical method and a difference approximation method to calculate the gradient of an objective function have been applied to the directivity optimization in an adaptive ultrasonic transducer which is combined with a point source array and an optimization algorithm (DFP method). To compare these two methods, quasi-ideal .beam with a beam width and direction specified are chosen as the desired directivity. As the numerical results, the difference approximation method shows better suppressive capacity of side lobe level, good stability in the convergence processing, faster convergence speed and excellent adaptability compared with the analytical method.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.8
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• pp.1818-1827
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• 2004

This paper carried out numerical calculation about the directivity synthesis problem in two dimension of adaptive ultrasonic transducers. Adaptive system for directivity synthesis is constructed by multi-electrode array on the surface of only one piezoelectric ceramic plate combined with optimal algorithm. In order to realize the desired directivity that is established arbitrarily, the optimal vibrational displacement is calculated by optimal algorithm (DFP method). Secondly, the optimal voltage of electrodes which is correspond to the calculated vibrational displacement is calculated used by finite element method and DFP method. And, the vibration analysis in two dimension of piezoelectric transducer carried out by means of finite element method.