1D or 3D spatial temperature distribution- comparison

Abstract
This paper shows the comparison of the results of computations of the spatial distribution of the temperature in the sample and the spectra of the piezoelectric signals in 1D and 3D thermal models. The considerably different temperature distributions in the sample observed for short thermal waves, when the sample is thermally thick, and a narrow beam of the exciting light did not cause considerable changes of the spectra of the piezoelectric signal. These results are the evidence that 1D approach can be successfully applied for the interpretation of the piezoelectric spectra obtained in the piezoelectric spectroscopy method.