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Maxima of the spectral reflectance ratio of polarized waves used to measure the thickness of a nonabsorbing thin film

机译:用于测量非吸收性薄膜厚度的极化波的光谱反射比的最大值

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摘要

A simple method to determine the thickness of a nonabsorbing thin film on an absorbing substrate from maxima of the ratio between the spectral reflectances of p- and s-polarized components reflected from the thin-film structure is presented. The spectral reflectance ratio, which can be measured in a simple polarimetry configuration at a fixed angle of incidence, consists of maxima whose number and positions depend on the thickness of a thin film. An approximative linear relation between the thin-film thickness and a wavelength of the maximum of the reflectance ratio for a specific angle of incidence is revealed, provided that the wavelength-dependent refractive index of the thin film is known and the substrate is weakly absorbing. The relation permits the calculation of the thickness from the measured spectral reflectance ratio by using one maximum only, as is demonstrated theoretically for a SiO2 thin film on a Si substrate. The application of this method is demonstrated experimentally for the same thin-film structure with different thicknesses of the SiO2 thin film. The results are compared with those given by the algebraic fitting method, and very good agreement is confirmed.
机译:提出了一种简单的方法,该方法可以根据从薄膜结构反射的p偏振和s偏振分量的光谱反射率之间的比值最大值来确定吸收性基板上非吸收性薄膜的厚度。可以在固定的入射角下以简单的偏振测定法测量的光谱反射率,由光谱的数量和位置取决于薄膜的厚度的最大值组成。只要知道薄膜的波长相关折射率并且基板吸收较弱,就可以揭示出薄膜厚度与特定入射角的反射率比的最大波长之间的近似线性关系。该关系允许仅通过使用一个最大值就由测得的光谱反射率来计算厚度,如理论上对于Si衬底上的SiO 2薄膜所证明的。通过实验证明了该方法对相同厚度的SiO2薄膜不同的薄膜结构的应用。将结果与通过代数拟合法给出的结果进行比较,并确认了很好的一致性。

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