Author :
Lo, Yu-Lung ; Hsieh, Wen-Hsiang ; Chung, Yi-Fan ; Tsai, Shiou-An
Author_Institution :
Dept. of Mech. Eng. & Adv. Optoelectron. Technol. Center, Nat. Cheng Kung Univ., Tainan, Taiwan
Abstract :
A method is proposed for extracting the ellipsometric parameters of isotropic and anisotropic thin films from the Stokes parameters obtained for five different input polarization lights, namely four linearly polarized lights and one right-hand circular polarized light. In the proposed approach, the genetic algorithm in curve fitting is used to extract the refractive index and thickness properties of the isotropic or anisotropic sample from the experimental results obtained for the variation of the ellipsometric parameters with the incident angle. Finally, the experimental values of the ellipsometric parameters and the simulated values are compared. It is shown that for a typical isotropic thin film, the average standard deviations of Ψpp and Δpp are 0.020° and 0.464°, respectively. Meanwhile, for a typical anisotropic thin film, the average standard deviations of Ψpp, Ψps, Ψsp, Δpp, Δps, and Δsp are found to be 0.014°, 0.047°, 0.041°, 0.312°, 0.402°, and 0.571°, respectively. Overall, the results presented in this study confirm that the proposed method provides a straightforward and reliable means of extracting the ellipsometric parameters of isotropic and anisotropic materials by Stokes parameters using five independent input polarization lights. Specially, the ellipsometric parameters of anisotropic thin film expressed by Stokes parameters or Mueller elements are explicitly presented.
Keywords :
anisotropic media; genetic algorithms; light polarisation; optical films; refractive index; Mueller elements; Stokes parameter method; Stokes parameters; anisotropic materials; anisotropic thin films; curve fitting; ellipsometric parameters extraction; ellipsometric parameters measurement; genetic algorithm; linearly polarized lights; refractive index; right-hand circular polarized light; Optical films; Optical variables measurement; Robustness; Standards; Stokes parameters; Vectors; Anisotropic thin film; Mueller matrix; ellipsometer; genetic algorithm (GA); isotropic thin film; stokes vector;