Cao J, Yanagihara M, Yamamoto M, Goto Y, Namioka T
Appl Opt. 1994 Apr 1;33(10):2013-7. doi: 10.1364/AO.33.002013.
A nonlinear, least-squares curve-fitting method is described that simultaneously determines the optical constants and the thickness of a very thin (≲ 100-Å) film from reflectance versus angle of incidence (R - θ) data measured in the soft-x-ray region. The method is applied to R - θ data obtained for very thin, sputtered films of carbon (65 Å thick) and gold (94 Å thick) at photon energies of 60-900 eV. The results show that the present method is capable of accurately determining the thickness of very thin films even for transparent materials, and that the obtained optical constants are in good agreement with values reported for films with a thickness of 1000 Å.
本文描述了一种非线性最小二乘曲线拟合方法,该方法可根据在软X射线区域测量的反射率与入射角(R-θ)数据,同时确定非常薄(≲100 Å)薄膜的光学常数和厚度。该方法应用于在60-900 eV光子能量下,对非常薄的溅射碳膜(65 Å厚)和金膜(94 Å厚)获得的R-θ数据。结果表明,即使对于透明材料,本方法也能够准确确定非常薄膜的厚度,并且所获得的光学常数与报道的厚度为1000 Å薄膜的值非常吻合。