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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 3 — Mar. 1, 1982
  • pp: 396–398

Thin-film-synthesis algorithm for realization of refractive indices and Airy summation

I. J. Hodgkinson and R. G. Stuart  »View Author Affiliations


JOSA, Vol. 72, Issue 3, pp. 396-398 (1982)
http://dx.doi.org/10.1364/JOSA.72.000396


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Abstract

A transmission matrix T is defined as a computational aid for determining refractive indices from the Fourier coefficients of the reflected amplitude in thin-film synthesis. It is shown that the matrix T acts as the term factor in geometric series expansions of the reflected and transmitted amplitudes for a stack of films of equal optical thickness.

© 1982 Optical Society of America

Citation
I. J. Hodgkinson and R. G. Stuart, "Thin-film-synthesis algorithm for realization of refractive indices and Airy summation," J. Opt. Soc. Am. 72, 396-398 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-3-396


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References

  1. I. J. Hodgkinson, "Fourier description of analysis and synthesis operations for a stack of thin films of equal optical thickness," Opt. Lett. 3, 133–135 (1978).
  2. R. J. Pegis, "An exact design method for multilayer dielectric films," J. Opt. Soc. Am. 51, 1255–1264 (1961).
  3. P. G. Kard, "On the synthesis of multilayer coatings," Opt. Spectrosc. 16, 497–498 (1964).
  4. Sh. A. Furman, "The use of exact formulae for the synthesis of coatings with given spectral characteristics using layers of equal optical thickness," Opt. Spectrosc. 22, 344–347 (1967).
  5. E. Delano and R. J. Pegis, "Methods of synthesis for dielectric multilayer filters," in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1969), Vol. 7, Chap. 2.
  6. A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, Mass., 1974).
  7. M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1964).
  8. H. Pohlack, "Die Synthese optischer Interferenzschichtsysteme mit vorgegekenen Spektraleigenschaften," Jenaer Jahrb. 181–221 (1952).

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