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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 28 — Oct. 1, 1993
  • pp: 5417–5426

Some theoretical aspects of thin-film optics and their applications

Alexander V. Tikhonravov  »View Author Affiliations


Applied Optics, Vol. 32, Issue 28, pp. 5417-5426 (1993)
http://dx.doi.org/10.1364/AO.32.005417


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Abstract

The principal focus of my report is on the theoretical study of the properties of spectral coefficients in a complex wave-number plane. The basic results of the study are described, and their application to the synthesis of a rugate filter and to inhomogeneous layer recognition problems are considered. General results concerning the existence of solutions to synthesis problems are also presented. The close analogy between synthesis problems in thin-film optics and optimal control problems is outlined, and some applications of Pontryagin's maximum principle are considered.

© 1993 Optical Society of America

History
Original Manuscript: November 13, 1992
Published: October 1, 1993

Citation
Alexander V. Tikhonravov, "Some theoretical aspects of thin-film optics and their applications," Appl. Opt. 32, 5417-5426 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-28-5417


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References

  1. L. D. Landau, E. M. Lifshiz, Electrodynamics of Continuous Media (Pergamon, London, Paris, 1958).
  2. H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, London, 1972).
  3. H. Kaiser, “Analysis of the transfer coefficients in layered media,” in Optical Interference Coatings, Vol. 15 of 1992 OSA Technical Digest Series (Optical Society of America, Washington, D. C., 1992), pp. 72–74.
  4. H. Kaiser, “Principles of thin film systems design,” in Thin Films for Optical Systems, K. H. Guenther, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1782 (to be published).
  5. A. V. Tikhonravov, “General layered media properties in connection with coating design and investigation techniques,” in Optical Interference Coatings, Vol. 15 of 1992 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1992), pp. 70–71.
  6. V. G. Boltyanskii, Mathematical Methods of Optimal Control (Holt, Rinehart & Winston, New York, 1971).
  7. Sh. A. Furman, A. V. Tikhonravov, Basics of Optics of Multilayer Systems (Editions Frontieres, Gif-sur-Yvette, France, 1992).
  8. A. V. Tikhonravov, “About the limit accuracy of the synthesis problem solution,” Zh. Vychisl. Mat. Mat. Fiz. 22, 1421–1433 (1982).
  9. A. V. Tikhonravov, “Amplitude and phase properties of layered media spectral characteristics,” Zh. Vychisl. Mat. Mat. Fiz. 25, 442–450 (1985).
  10. J. A. Dobrowolski, P. Lowe, “Optical thin film synthesis program based on the use of Fourier transforms,” Appl. Opt. 17, 3039–3050 (1978). [CrossRef] [PubMed]
  11. P. G. Verly, J. A. Dobrowolski, “Iterative correction process for optical thin film synthesis with Fourier-transform method,” Appl. Opt. 29, 3672–3684 (1990). [CrossRef] [PubMed]
  12. B. G. Bovard, “Rugate filter design: the modified Fourier transform technique,” Appl. Opt. 30, 24–30 (1990). [CrossRef]
  13. A. V. Tikhonravov, “A stable method for solving layered media synthesis problems,” Dokl. Akad. Nauk SSSR 283, 582–585 (1985).
  14. A. V. Tikhonravov, “Synthesis of layered media with pre-set amplitude-phase properties,” Zh. Vychisl. Mat. Mat. Fiz. 25, 1674–1688 (1985).
  15. A. V. Tikhonravov, A. D. Poezd, I. V. Zuev, “On the applicability of the Kramers–Kronig relation to the determination of layered media optical parameters,” in Optical Interference Coatings, Vol. 15 of 1992 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1992), pp. 304–306.
  16. S. Lang, Complex Analysis (Addison-Wesley, Reading, Mass., 1977), p. 253.
  17. V. B. Glasko Yu, I. Khudak, “Additive representations of layered media characteristics and uniqueness of inverse problems,” Zh. Vychisl. Mat. Mat. Fiz. 20, 482–490 (1980).
  18. Ye. Ya. Khruslov, “One-dimensional inverse problems in electrodynamics,” Zh. Vychisl. Mat. Mat. Fiz. 25, 548–561 (1985).
  19. P. Grosse, V. Offerman, “Analysis or reflectance data using the Kramers–Kronig relations,” Appl. Phys. A 52, 138–144 (1991). [CrossRef]
  20. I. V. Zuev, A. V. Tikhonravov, “On the uniqueness of layered media parameters determination basing on reflectance measurement,” Zh. Vychisl. Mat. Mat. Fiz. 33, 428–438 (1993).
  21. A. N. Tikhonov, V. Ya. Arsenin, Solutions of Ill-Posed Problems (Winston Wiley, New York, 1977).
  22. L. Li, J. A. Dobrowolski, “Computation speeds of different optical thin-film synthesis methods,” Appl. Opt. 31, 3790–3799 (1992). [CrossRef] [PubMed]
  23. J. A. Dobrowolski, “Computer design of optical coatings,” Thin Solid Films. 163, 97–110 (1988). [CrossRef]
  24. A. V. Tikhonravov, “On the optimal control theory problems connected with the layered media synthesis,” Dif. Urav. 21, 1516–1523 (1985).
  25. 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).
  26. P. Baumeister, “Detailed knowledge of optical coating design techniques may be superfluous to produce usable coatings,” in Optical Interference Coatings, Vol. 15 of OSA 1992 Technical Digest Series (Optical Society of America, Washington, D.C., 1992), pp. 8–10.
  27. A. N. Baskakov, A. V. Tikhonravov, “Synthesis of two-component optical coatings,” Opt. Spectrosc. (USSR) 56, 559–562 (1984).
  28. A. V. Tikhonravov, M. K. Trubetskov, “Thin film coating design using second-order optimization methods,” in Thin Films for Optical Systems, K. H. Guenther, ed., Proc. Soc. Photo-Opt. Instrum. Eng. (to be published).
  29. B. Sullivan, J. Dobrowolski, “Deposition error compensation for optical multilayer coatings. 1. Theoretical description,” Appl. Opt. 31, 3821–3835 (1992). [CrossRef] [PubMed]
  30. B. T. Sullivan, J. A. Dobrowolski, “Deposition error compensation for optical multilayer coatings. II. Experimental results—sputtering system,” Appl. Opt. 32, 2351–2360 (1993). [CrossRef] [PubMed]

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