Expressions describing the peculiarities of the temperature field formation in the photoacoustic cell, taking into account the temperature dependence of not only the thermophysical parameters of all layers and the absorptivity, but also of the optical absorption coefficient of the sample have been obtained. A system of nonlinear algebraic equations has been derived to determine the dependence of temperatures of the illuminated layer of the sample and its reverse side on the intensity of the incident beam. As a result of numerical solution of this system, nonlinear dependences of temperatures of both sides of the sample on the beam intensity have been obtained. The sign of the thermal coefficient of the temperature dependence of the optical absorption coefficient has been found to significantly affect the nature of the dependences of the increment of the irradiated surface temperature and the rear side of the sample on the intensity. Significant effect of the substrate on the formation of the temperature field in the photoacoustic cell has been shown as well.

中文翻译：

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样品光吸收系数的温度依赖性对光声电池中热场形成的影响

已经获得了描述光声电池中温度场形成的特性的表达式，该表达式不仅考虑了所有层的热物理参数和吸收率的温度依赖性，而且还考虑了样品的光吸收系数。已经推导了非线性代数方程组，以确定样品的受照层及其反面的温度对入射光束强度的依赖性。作为该系统的数值解的结果，已经获得了样品的两侧温度对束强度的非线性依赖性。已经发现，光吸收系数的温度依赖性的热系数的符号显着影响照射表面温度的增加和样品的背面对强度的依赖性的性质。还已经显示了基材对光声电池中温度场的形成的显着影响。