Application of global optimization algorithms for optical thin film index determination from spectro-photometric analysis

A large number of parameters is often required to describe optical dispersion laws, and it is only through the use of an appropriate global optimization procedure that an accurate thin film index determination can be achieved. In this paper, we propose to investigate the respective performances of three different optimization algorithms, namely Simulated Annealing, Genetic Algorithm and Clustering Global Optimization and compare results with a commercial software dedicated to thin film index determination. This study refers to the single layer and multilayer thin film index determination. It includes the theoretical study of simulated reflection and transmission spectra, and the experimental characterization of Ta2O5 single layer and Ta2O5/SiO2 multilayer.

[1]  H. Zimmermann Towards global optimization 2: L.C.W. DIXON and G.P. SZEGÖ (eds.) North-Holland, Amsterdam, 1978, viii + 364 pages, US $ 44.50, Dfl. 100,-. , 1979 .

[2]  A. B. Djuriši,et al.  Simulated-annealing-based genetic algorithm for modeling the optical constants of solids. , 1997, Applied optics.

[3]  Giovanni Saggio,et al.  An integrated optical method for measuring the thickness and refractive indexof birefringent thin films , 1997 .

[4]  R. Kronig On the Theory of Dispersion of X-Rays , 1926 .

[5]  Razvigor Ossikovski,et al.  Measurement of the absorption edge of thick transparent substrates using the incoherent reflection model and spectroscopic UV)visible)near IR ellipsometry , 1998 .

[6]  Bum Ku Rhee,et al.  Simultaneous determination of thickness and optical constants of polymer thin film by analyzing transmittance. , 2002, Applied optics.

[7]  J. Cardin,et al.  Determination of refractive index, thickness, and the optical losses of thin films from prism-film coupling measurements. , 2008, Applied optics.

[8]  Ali Maroosi,et al.  A new clustering algorithm based on hybrid global optimizationbased on a dynamical systems approach algorithm , 2010, Expert Syst. Appl..

[9]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[10]  Thin-film designs by simulated annealing. , 1996, Applied optics.

[11]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[12]  G Zhou,et al.  Genetic local search algorithm for optimization design of diffractive optical elements. , 1999, Applied optics.

[13]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[14]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[15]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[16]  Vladimir I. Merkulov,et al.  Characterization of thin-film amorphous semiconductors using spectroscopic ellipsometry , 2000 .

[17]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[18]  Tibor Csendes,et al.  Nonlinear Parameter Estimation by Global Optimization - Efficiency and reliability , 1989, Acta Cybern..

[19]  J A Dobrowolski,et al.  Influence of small inhomogeneities on the spectral characteristics of single thin films. , 1997, Applied optics.

[20]  D MARKOVIC,et al.  [Determination of refractive index in resins]. , 1955, Acta pharmaceutica Jugoslavica.

[21]  Shirley Dex,et al.  JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .

[22]  C P Chang,et al.  Optimization of a thin-film multilayer design by use of the generalized simulated-annealing method. , 1990, Optics letters.

[23]  J A Dobrowolski,et al.  Determination of optical constants of thin film coating materials based on inverse synthesis. , 1982, Applied optics.

[24]  Bernhard von Blanckenhagen,et al.  Application of the Tauc-Lorentz formulation to the interband absorption of optical coating materials. , 2002, Applied optics.

[25]  A. Tikhonravov,et al.  Efficient refinement algorithm for the synthesis of inhomogeneous optical coatings. , 1997, Applied optics.

[26]  Fabio Zocchi,et al.  Genetic algorithm optimization of x-ray multilayer coatings , 2004, SPIE Optics + Photonics.

[27]  H. Macleod,et al.  Thin-Film Optical Filters , 1969 .

[28]  Karen Hendrix,et al.  Optical Interference Coatings Design Contest 2007: triple bandpass filter and nonpolarizing beam splitter. , 2008, Applied optics.

[29]  M. Leutbecher,et al.  Optimization of interference filters with genetic algorithms applied to silver-based heat mirrors. , 1993, Applied optics.

[30]  Z. Hantos,et al.  Nonlinear parameter estimation by global optimization: Comparison of local search methods in respiratory system modelling , 1986 .