OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 22 — Aug. 1, 1993
  • pp: 4265–4275

Quasi-optimal synthesis for antireflection coatings: a new method

A. V. Tikhonravov and J. A. Dobrowolski  »View Author Affiliations


Applied Optics, Vol. 32, Issue 22, pp. 4265-4275 (1993)
http://dx.doi.org/10.1364/AO.32.004265


View Full Text Article

Enhanced HTML    Acrobat PDF (1298 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new method for the design of antireflection coatings is described in which a linearly constrained quadratic programming optimization procedure is used to find an inhomogeneous layer solution that, for a given overall thickness of the layer, corresponds to the global optimum for the problem. The refractive-index profile of this solution is then approximated by a two-material multilayer system that serves as a starting design for further numerical refinement. We present the theoretical basis for this method and discuss the effect of the various approximnations made on the solution. Four different antireflection problems are solved to illustrate this new method.

© 1993 Optical Society of America

History
Original Manuscript: November 30, 1992
Published: August 1, 1993

Citation
A. V. Tikhonravov and J. A. Dobrowolski, "Quasi-optimal synthesis for antireflection coatings: a new method," Appl. Opt. 32, 4265-4275 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-22-4265


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. I. V. Grebenshchikov, Prosvetlenie Optiki (Antireflection Coating of Optical Surfaces) (State Publishers of Technical and Theoretical Literature, Moscow, 1946).
  2. J. T. Cox, G. Hass, “Antireflection coatings for optical and infrared optical materials,” in Physics of Thin Films, G. Hass, R. E. Thun, eds. (Academic, New York, 1964), pp. 239–304.
  3. A. Mussett, A. Thelen, “Multilayer antireflection coatings,” in Progress in Optics, E. Wolf, ed. (Pergamon, New York, 1970), pp. 203–237.
  4. P. G. Kard, Analysis and Synthesis of Multilayer Interference Coatings (Valgus, Tallin, Estonia, 1971) (in Russian).
  5. Z. Knittl, Optics of Thin Films (Wiley, New York, 1976).
  6. H. A. Macleod, Thin Film Optical Filters (McGraw-Hill, New York, 1986). [CrossRef]
  7. A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, New York, 1988).
  8. S. Furman, A. V. Tikhonravov, Basics of Optics of Multilayer Systems (Editions Frontieres, Gif-sur-Yvette, France, 1992).
  9. L. Sossi, “A method for the synthesis of multilayer dielectric light filters,” Eesti NSV Tead. Akad. Toim. Fuus. Mat. 23, 229–237 (1974).
  10. L. Sossi, “On the theory of the synthesis of multilayer dielectric light filters,” Eesti NSV Tead. Akad. Toim. Fuus. Mat. 25, 171–176 (1976).
  11. J. A. Dobrowolski, D. Lowe, “Optical thin film synthesis program based on the use of Fourier transforms,” Appl. Opt. 17, 3039–3050 (1978). [CrossRef] [PubMed]
  12. P. G. Verly, J. A. Dobrowolski, W. J. Wild, R. L. Burton, “Synthesis of high rejection filters with the Fourier transform method,” Appl. Opt. 28, 2864–2875 (1989). [CrossRef] [PubMed]
  13. P. E. Gill, W. Murray, M. H. Wright, Practical Optimization (Academic, London, 1981).
  14. A. V. Tikhonravov, M. K. Trubetskov, “Thin film coating design using second order optimization methods,” in Thin Films for Optical Systems, K. Guenther, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1782 (to be published).
  15. J. A. Aguilera, J. Aguilera, P. Baumeister, A. Bloom, D. Coursen, J. A. Dobrowolski, F. T. Goldstein, D. E. Gustafson, R. A. Kemp, “Antireflection coatings for germanium IR optics: a comparison of numerical design methods,” Appl. Opt. 27, 2832–2840 (1988). [CrossRef] [PubMed]
  16. J. A. Dobrowolski, R. A. Kemp, “Refinement of optical multilayer systems with different optimization procedures,” Appl. Opt. 29, 2876–2893 (1990). [CrossRef] [PubMed]
  17. R. R. Willey, P. C. Verly, J. A. Dobrowolski, “Synthesis of wide band AR coatings with the Fourier transform method,” in Optical Thin Films and Applications, R. Herrmann, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1270, 36–44 (1990).
  18. P. G. Verly, J. A. Dobrowolski, R. R. Willey, “Fourier-transform method for the design of wideband antireflection coatings,” Appl. Opt. 31, 3836–3846 (1992). [CrossRef] [PubMed]
  19. J. A. Dobrowolski, R. A. Kemp, “Interface design methods for two-material optical multilayer coatings,” Appl. Opt. 31, 6747–6756 (1992). [CrossRef] [PubMed]
  20. R. F. Polter, “Germanium (Ge),” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, Orlando, Fla., 1985), pp. 465–478.
  21. I. Ohidal, K. Navratil, “Thorium fluoride (ThF4),” in Handbook of Optical Constants II, E. D. Palik, ed. (Academic, Boston, Mass., 1991), pp. 1049–1058.
  22. B. G. Bovard, “Rugate filter design: the modified Fourier transform technique,” Appl. Opt. 29, 24–30 (1990). [CrossRef] [PubMed]
  23. A. V. Tikhonravov, “On the optimality of thin film optical coating design,” in Optical Thin Films and Applications, R. Herrmann, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1270, 28–35 (1990).
  24. A. V. Tikhonravov, “Some theoretical aspects of thin-film optics and their applications,” Appl. Opt. (to be published).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited