Extraction of thermal conductivity using phonon Boltzmann Transport Equation based simulation of frequency domain thermo-reflectance experiments
Extraction of thermal conductivity using phonon Boltzmann Transport Equation based simulation of frequency domain thermo-reflectance experiments
复制标题
使用基于声子玻尔兹曼传输方程的频域热反射实验模拟提取热导率
DOI：
10.1016/j.ijheatmasstransfer.2023.123871
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发表时间：
2023
影响因子：
5.2
通讯作者：
Mazumder, Sandip
中科院分区：
文献类型：
--
作者：
Saurav, Siddharth;Mazumder, Sandip
为了模拟频域热反射(FDTR)实验装置，数值求解了柱坐标和时间域中的多维声子Boltzmann输运方程(BTE)。在泵浦激光调制频率为20~200 MHz范围内，计算了泵浦激光信号和探测激光信号之间的相位滞后。结果是在有和没有光学声子的情况下得到的，以及从硅的文献中获得的两种不同的驰豫时间尺度的散射表达式(Holland和Broido)。结果表明，光学声子的引入显著改善了测量结果与计算结果之间的一致性。随后，通过将傅立叶热传导方程的结果-也是在时间域中的数值求解-与测量和计算(使用BTE)相位滞后值进行拟合来提取导热系数。虽然两个松弛时间尺度都表现出热导抑制，但其中一个时间尺度的表达明显优于另一个。在Broido时间尺度下，从BTE计算中提取的导热系数高估了从实验中提取的值，无论计算中是否包括光学声子。相反，对于Holland时间尺度，当包括光学声子时，提取的导热系数值高估了从实验中提取的值，而当排除光学声子时，则低估了从实验中提取的值。
The multidimensional phonon Boltzmann Transport Equation (BTE) was solved numerically in cylindrical coordinates and in time domain to simulate a Frequency Domain Thermo-Reflectance (FDTR) experimental setup. The phase lag between the pump and probe laser signals were computed for a pump laser modulation frequency ranging from 20 to 200 MHz. Results were obtained both with and without the inclusion of optical phonons, as well as with two different relaxation time-scale expressions (Holland versus Broido) for scattering, obtained from the literature for silicon. It was found that inclusion of optical phonons significantly improved the agreement between the measured and the computed phase lag. Subsequently, the thermal conductivity was extracted by fitting the Fourier heat conduction equation results—also solved numerically in time domain—to the measured and computed (using BTE) phase lag values. While both relaxation time-scales exhibited thermal conductivity suppression, a clear superiority of one time-scale expression over the other could not be established. With the Broido time-scale, the thermal conductivity extracted from BTE calculations overpredicted the value extracted from experiments regardless of whether optical phonons were included in the calculations. In contrast, with the Holland time-scale, the extracted thermal conductivity value overpredicted the value extracted from experiments when optical phonons were included, but underpredicted the value when optical phonons were excluded.
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影响因子：
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作者：
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DOI：
--
发表时间：
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期刊：
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影响因子：
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作者：
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