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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 13 — May. 1, 2004
  • pp: 2651–2660

Markov-Chain Monte Carlo Approach to the Design of Multilayer Thin-Film Optical Coatings

Michael P. Hobson and John E. Baldwin  »View Author Affiliations


Applied Optics, Vol. 43, Issue 13, pp. 2651-2660 (2004)
http://dx.doi.org/10.1364/AO.43.002651


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Abstract

We reconsider the problem of locating the globally optimal solution of a multilayer-optical-coating design problem, within some predetermined space of parameters, with the aim of obtaining a robust technique that requires a minimum of user intervention. The approach we adopt centers on exploring the space of the parameters of interest by using a Markov-chain Monte Carlo sampling algorithm. This technique enables one to locate the global optimum automatically with high confidence and without the need for a good starting design. It also allows the trivial inclusion of prior constraints on the variables and provides a natural means for investigating the robustness of the optimal solution.

© 2004 Optical Society of America

OCIS Codes
(310.0310) Thin films : Thin films
(310.1210) Thin films : Antireflection coatings
(310.1620) Thin films : Interference coatings
(310.6860) Thin films : Thin films, optical properties

Citation
Michael P. Hobson and John E. Baldwin, "Markov-Chain Monte Carlo Approach to the Design of Multilayer Thin-Film Optical Coatings," Appl. Opt. 43, 2651-2660 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-13-2651


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References

  1. P. Baumeister, “Design of multilayer filters by successive approximations,” J. Opt. Soc. Am. 48, 955–958 (1958).
  2. J. A. Dobrowolski and R. A. Kemp, “Refinement of optical multilayer systems with different optimization procedures,” Appl. Opt. 29, 2876–2893 (1990).
  3. A. Premoli and M. L. Rastello, “Minimax refining of wideband antireflection coatings for wide angular indicence,” Appl. Opt. 33, 2018–2024 (1994).
  4. J. A. Dobrowolski, “Completely automatic synthesis of optical thin film systems,” Appl. Opt. 4, 937–946 (1965).
  5. C. G. Snedaker, “New numerical thin-film synthesis technique,” J. Opt. Soc. Am. 72, 1732A (1982).
  6. W. H. Southwell, “Coating design using very thin high- and low-index layers,” Appl. Opt. 24, 457–460 (1985).
  7. A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35, 5493–5508 (1996).
  8. P. G. Verly, “Fourier transform technique with refinement in the frequency domain for the synthesis of optical thin films,” Appl. Opt. 35, 5148–5154 (1996).
  9. T. Boudet and P. Chaton, “Thin film design using simulated annealing and the study of filter robustness,” in Developments in Optical Component Coatings, I. Reid, ed., Proc. SPIE 2776, 27–38 (1996).
  10. S. Martin, J. Rivory, and M. Schoenauer, “Synthesis of optical multilayer systems using genetic algorithms,” Appl. Opt. 34, 2247–2254 (1995).
  11. D. G. Li and A. C. Watson, “Global optimization for optical thin film design using Latin squares,” in Optical Thin Films V: New Developments, R. L. Hall, ed., Proc. SPIE 3133, 8–15 (1997).
  12. P. G. Verly, A. V. Tikhonravov, and M. K. Trubetskov, “Efficient refinement algorithm for the synthesis of inhomogeneous optical coatings,” Appl. Opt. 36, 1487–1495 (1997).
  13. P. G. Verly, “Optical coating synthesis by simultaneous refractive-index and thickness refinement of inhomogeneous films,” Appl. Opt. 37, 7327–7333 (1998).
  14. Sh. A. Furman and A. V. Tikhonravov, Basics of Optics of Multilayer Systems (Editions Frontieres, Gif-sur-Yvette, France, 1992), pp. 1–149.
  15. W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, Markov-Chain Monte Carlo in Practice (Chapman & Hall, London, 1995).
  16. M. Kalos and P. Whitlock, Monte Carlo Methods (Wiley, New York, 1986).
  17. W. H. Press, S. A. Teukolski, W. T. Vetterlin, and B. P. Flannery, Numerical Recipes, 2nd ed. (Cambridge University, Cambridge, England, 1992), pp. 409–413.

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