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Photothermal model fitting in the complex plane for thermal properties determination in solids

机译：复杂平面中的光热模型拟合，用于确定固体中的热性质

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摘要

Thermal properties of solids are obtained by fitting the exact complex photothermal model to the normalized photoacoustic (PA) signal in the front configuration. Simple closed-form expressions for the amplitude and phase are presented in all frequency ranges. In photoacoustic it has been common practice to assume that all the absorptions of radiation take place in the sample. However, in order to obtain the accurate thermal properties it is necessary to consider the PA signal contributions produced at the cell walls. Such contributions were considered in our study. To demonstrate the usefulness of the proposed methodology, commercial stainless steel layers AISI 302 were analyzed. It is shown that using our approach the obtained thermal diffusivity and effusivity were in good agreement with those reported in the literature. Also, a detailed procedure for the calculation of the standard error in the thermal properties is discussed.
机译：通过将精确的复杂光热模型拟合到正面配置中的归一化光声（PA）信号，可以获得固体的热属性。在所有频率范围内均提供了幅度和相位的简单封闭式表达式。在光声中，通常的做法是假设所有辐射吸收都发生在样品中。但是，为了获得准确的热性能，必须考虑在细胞壁处产生的PA信号贡献。在我们的研究中考虑了这些贡献。为了证明所提出的方法的有效性，分析了商用不锈钢层AISI 302。结果表明，使用我们的方法，所获得的热扩散率和散热率与文献报道的相符。此外，还讨论了计算热性能标准误差的详细步骤。

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