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Applied Optics

Applied Optics


  • Vol. 22, Iss. 9 — May. 1, 1983
  • pp: 1337–1345

Identification of stratified media based on the Bremmer series representation of the reflection coefficient

Hans Kaiser and Hans Christoph Kaiser  »View Author Affiliations

Applied Optics, Vol. 22, Issue 9, pp. 1337-1345 (1983)

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The identification method is based on approximations of the reflection coefficient r by terms of the Bremmer series. One of these supplies an explicit representation of the refractive-index profile n, utilizing the Fourier transform F r of r. Various procedures for the identification of thin-film systems using fast Fourier transform are derived from this relationship between F r and n. One main issue of this paper is the determination of jumps within the refractive-index profile. For this purpose a numerical representation of F r is subjected to waveform analysis. Theoretical and algorithmic aspects of the method are investigated, including a critical discussion in connection with numerical experiments.

© 1983 Optical Society of America

Original Manuscript: September 27, 1982
Published: May 1, 1983

Hans Kaiser and Hans Christoph Kaiser, "Identification of stratified media based on the Bremmer series representation of the reflection coefficient," Appl. Opt. 22, 1337-1345 (1983)

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  1. H. Kaiser, H.-C. Kaiser, Appl. Opt. 20, 1043 (1981). [CrossRef] [PubMed]
  2. M. Reed, B. Simon, Methods of Modern Mathematical Physics II (Academic, New York, 1975).
  3. J. Hirsch, Opt. Acta 26, 1273 (1979). [CrossRef]
  4. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  5. D. K. Kahaner, J. Appl. Math. Phys. 29, 387 (1978). [CrossRef]
  6. H. Kaiser, H.-C. Kaiser, Linguistische Modelle und Algorithmen zur Strukturerkennung (Potsdamer Forschungen, Reihe B, Heft 27, Potsdam, 1981).

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