New definitions of the nonlinear equivalent circuits of a broad plate for thickness-extensional vibration and a thin bar for length-extensional vibration are presented. These are obtained by extending Mason's linear equivalent circuits to the nonlinear region and are applied to the analysis of the second harmonic generation at the resonance point in the broad plate of Z-cut LiNb03 and to the determination of the fourth-order compliance constant of X-cut longitudinal mode quartz crystal resonator by evaluating the resonance frequency difference as a function of current amplitude. The successful result of simulation of the generation of acoustic phase conjugate wave in a lead zirconate titanate (PZT) ceramic thin bar is also presented.

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Two dimensional images of the temperature coefficient of the distribution of the dielectric constant of a two phases composite ceramics composed of Ti02 and Bi2Ti4011 are observed using scanning photothermal dielechic microscope. The obtained images clearly show that the each grain of Ti02 and BizTi4011 in the ceramics has a negative and a positive temperature coefficient, respectively and that the macroscopic averaged temperature coefficient of the ceramics is relatively low due to the cancellation of the coefficients with the opposite signs.