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利用两种基本的数学变换，得到了非均匀材料以及相邻介质的温度场表达式，在非均匀材料的热扩散率随指数渐变的条件下，得到了气体介质温度场的解析式，利用传声器检测理论，求得光声信号的相位表达式，在非均匀材料两表面热扩散率已知的情况下，通过固体传声器测量出光声信号的相位与频率的关系，即可确定出非均匀材料热扩散率的分布，该方法具有计算量小、实验简单的特点。本文给出了有关的理论推导及理论模拟情况．
By means of two basic mathematical transformations, the expression of temperature field of inhomogeneous material and adjacent medium is obtained. Under the condition of gradual change of thermal diffusivity of the inhomogeneous material, the analytical solution of the temperature field of the gas medium is obtained. Detection theory, the phase of the photoacoustic signal is obtained. When the thermal diffusivity of the two surfaces of the non-uniform material is known, the relationship between the phase and the frequency of the photoacoustic signal is measured by a solid microphone to determine the inhomogeneous material heat Diffusivity distribution, this method has a small amount of calculations, the experimental simple features. This article gives the theoretical derivation and theoretical simulation.