Error Analysis in the Calculation of Optical Constants from Reflectance Spectra Using Kramers-Kronig Transforms.

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  • 反射スペクトルからのＫ‐Ｋ変換による光学定数の算出誤差
  • ハンシャ スペクトル カラ ノ K-K ヘンカン ニヨル コウガク テイスウ

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Numerical evaluation of the Kramers-Kronig analysis used in reflection spectroscopy has been carried out in order to find out optimal experimental conditions that minimize errors on complex refractive indices. By the use of the spectral simulation and the complex refractive index based on dispersion theory, we compared six kinds of experimental setups: external (EXT), internal (INT), and attenuated total reflection (ATR) geometries for both perpendicular (s)-and parallel (p)-polarized incident beams. Applying the so-called Dignam method to the simulated spectra, we evaluated the errors on the complex refractive indices. As far as physical and chemical properties of a sample are not taken into account, following conclusions are obtained: (1) ATR technique with p-polarization gives the smallest error at an optimal incident angle near by the critical angle.(2) If two kinds of measurements are permitted, the combined use of INT with s-polarization and ATR with p-polarization minimizes the error.

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