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中文摘要：
基于热传导波动模型，采用波函数展开法，研究了半无限功能梯度材料亚表面球形缺陷的热波多重散射。给出了热波散射的一般解。温度波由调制光束在材料表面激发，球形缺陷表面的边界条件为绝热，非均匀参数为指数函数变化。分析了结构几何参数和物理参数对温度分布的影响，并给出了温度变化的数值结果。本研究可为功能梯度材料的分析研究、物理反问题和红外热波成像等提供理论基础和参考数据。
英文摘要：
In this paper, based on non-fourier wave model of heat conductivity, using the expansion method of wave functions the multiple scattering of thermal waves by subsurface spheroid in functionally graded materials is investigated. A general solution of scattered waves based on wave equations of heat conduction is given. The effects of different geometric and physical parameters on the temperature distribution are analyzed. The thermal waves are excited at surfaces of opaque materials by modulated ultra-short laser pulse beams. The circular spheroid is taken as a cavity with thermal insulation conditions, and the nonhomogeneous parameter is an exponential function. The results of this paper can provide theoretical foundation and reference for the research of functionally graded materials, the inverse problem in physics, and the computation of infrared thermal imaging.
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