半无限体亚表面球形缺陷的热波多重散射

Multiple Scattering of Thermal Waves From Subsurface Spheroids in Semi-infinite Structures

摘要:

基于非傅里叶热传导波动型方程,采用镜像方法和波函数展开法,研究了半无限固体结构中亚表面球型缺陷的热波多重散射问题.基于热传导波动模型给出了热波散射问题的一般解.温度波由调制光束在材料表面激发,缺陷表面的边界条件为绝热.分析了结构几何和物理参量对温度分布的影响,给出了温度变化的数值结果.研究结果可为固体材料激光测试、红外热波成像等问题提供理论基础和参考数据.

Abstract:

Based on wave equation of non-Fourier's law of heat conduction,image method and the expansion method of wave functions,an investigation is made of the thermal wave scattering of subsurface spheroid in solid materials.This paper presents a general solution of scattered waves based on wave equations of heat conduction.An analysis is made of the effect of different physical parameters on the temperature distribution.The thermal waves are excited at surfaces of opaque materials by modulated optical beams.The circular spheroid is taken as a cavity under thermal insulation conditions.