Impulse Response of Piezoelectric Transducer by Multiresolution Analysis of Energy Modes

概要

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The impulse response of a piezoelectric transducer with an inhomogeneous structure is calculated in a simple and systematic manner without using a Laplace transform of an electrically equivalent circuit model. The inhomogeneous structure is wavelet-analyzed to construct a $2^{L+1}$-layered structure ($L=0,1,2,\ldots$), and $2^{L+1}$ energy modes are introduced in the respective layers and superposed in a probabilistic manner. The $2^{L+1}$ layers are classified into the odd- and even-numbered layers, and the superposition of energy modes is performed at odd and even time steps separately. The calculation precision in the time domain improves as the wavelet level $L$ increases. Using this methodology, the calculation of the impulse response of the transducer becomes as simple as that of the frequency response, in which the uncertainty principle between time and frequency is involved.
Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
2007-07-30