Analytical understanding of multiple-angle incidence resolution spectrometry based on a classical electromagnetic theory.
Analytical understanding of multiple-angle incidence resolution spectrometry based on a classical electromagnetic theory.
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基于经典电磁理论的多角度入射分辨率光谱测定的分析理解。
DOI：
10.1021/jp903769g
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
T. Hasegawa
中科院分区：
文献类型：
--
作者：
Y. Itoh;A. Kasuya;T. Hasegawa
红外多角度入射角分辨光谱法（IR-MAIRS）是一种独特的光谱技术，可以从沉积在高折射率衬底上的同一薄膜上同时获得表面平行（面内）和垂直（面外）的分子振动光谱，其测量理论是利用回归方程的理论框架构建的。MAIRS理论的核心部分是用于线性组合的加权因子矩阵R，它以一种不同寻常的方式构造。由于回归方程与方程的左右两边没有严格的关系，所以R矩阵不能直接从麦克斯韦方程中推导出来。尽管使用IR-MAIRS的传统研究给出了出色的实证结果，但对MAIRS的严格物理理解是必要的；否则，我们至少不能在数量上依赖它。本文首先用麦克斯韦方程组对MAIRS理论进行了归纳分析。因此，MAIRS-IP和-OP光谱都可以很容易地表示为Im（epsilon(x)）和Im（-1/epsilon(z)）函数的线性组合，这些函数对应于传统的透射和反射吸收光谱。通过对线性组合系数的分析，证明了MAIRS对高折射率衬底上薄膜的分析是可靠的。
Infrared multiple-angle incidence resolution spectrometry (IR-MAIRS) is a unique spectroscopic technique to retrieve both surface-parallel (in-plane; IP) and -perpendicular (out-of-plane; OP) molecular vibration spectra simultaneously from an identical thin-film deposited on a high refractive index substrate, and the measurement theory was constructed by the use of a theoretical framework of regression equation. The core part of the MAIRS theory is found in the weighting factor matrix, R, used for a linear combination, which was constructed in an unusual manner. Because a regression equation does not strictly correlate the left- and right-hand sides of the equation, R matrix cannot directly be deduced from Maxwell's equation. Although the conventional studies using IR-MAIRS gave excellent empirical results, a strict physical understanding of MAIRS is necessary; otherwise, we cannot rely on it at least quantitatively. In the present study, the MAIRS theory has first been analyzed by the use of Maxwell's equations inductively. As a result, both MAIRS-IP and -OP spectra have readily been expressed as a linear combination of the Im(epsilon(x)) and Im(-1/epsilon(z)) functions that correspond to the conventional transmission and reflection-absorption spectra. Through the analysis of coefficients of the linear combination, MAIRS has proved to be reliably useful for analysis of thin film on a high refractive index substrate.