OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 7 — Jul. 1, 1978
  • pp: 994–997

Analysis of optical data by the conjugate Fourier-series approach

Federick W. King  »View Author Affiliations

JOSA, Vol. 68, Issue 7, pp. 994-997 (1978)

View Full Text Article

Acrobat PDF (492 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A scheme based on conjugate Fourier series is proposed for the determination of the dissipative mode of an optical constant from the corresponding dispersive mode, and vice versa. The connection between the conjugate Fourier series and Fourier integral method is discussed. The advantages of the method in relation to the Kramers-Kronig approach are outlined.

© 1978 Optical Society of America

Federick W. King, "Analysis of optical data by the conjugate Fourier-series approach," J. Opt. Soc. Am. 68, 994-997 (1978)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. P. O. Nilsson, "Optical Properties of metals and alloys," Solid State Physics, Vol. 29, Edited by H. Ehrenreich, F. Seitz, and D. Turnbull (Academic, New York, 1974), pp. 139–234.
  2. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1960), p. 256.
  3. C. W. Peterson and B. W. Knight, "Causality calculations in the time domain: An efficient alternative to the Kramers- Kronig method, " J. Opt. Soc. Am. 63, 1238–1242 (1973).
  4. E. C. Titchmarsh, "Conjugate trigonometrical integrals," Proc. Lond. Math. Soc. 24, 109–130 (1925).
  5. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed. (Clarendon, Oxford, 1948), Chap. 5.
  6. C. Brot, "Correlation functions in dipolar absorption-dispersion," in Dielectric and Related Molecular Processes, edited by M. Davies (Chemical Society Specialist Periodical Reports, 1973), Vol. 2, p. 7.
  7. B. K. P. Scaife, "The theory of the macroscopic properties of isotropic dielectrics, " in Dielectric and Related Molecular Processes, edited by M. Davies (The Chemical Society Specialist Periodical Reports, 1972), Vol. 1, pp. 1–20, Eqs. (32) and (44).
  8. K. S. Cole and R. H. Cole, "Dispersion and absorption in dielectrics. II. Direct current characteristics, " J. Chem. Phys. 10, 98–105 (1942).
  9. B. Gross, "On the theory of dielectric loss, " Phys. Rev. 59, 748–750 (1941).
  10. M. Reisz, "Les fonctions conjuguées et les séries de Fourier, " C. R. Acad. Sci. Paris 178, 1464–1467 (1924).
  11. M. Reisz, "Sur les fonctions conjugées, " Math. Z. 27, 218–244 (1927).
  12. G. H. Hardy and J. E. Littlewood, "A point in the theory of conjugate functions," J. Lond. Math. Soc. 4, 242–245 (1929).
  13. A. Papoulis, The Fourier Integral and its Applications (Mc- Graw-Hill, New York, 1962), Chap. 10.
  14. H. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972), Chap. 1.
  15. M. Altarelli and D. Y. Smith, "Superconvergence and sum rules for the optical constants: Physical meaning, comparison with experiment, and generalization," Phys. Rev. B 9, 1290–1298 (1974).
  16. J. Roth, B. Rao, and M. J. Dignam, "Application of the causality condition to thin film spectroscopy. A method for the evaluation of the thickness and optical constants, " J. Chem. Soc. Faraday Trans. 2, 71, 86–94 (1975).
  17. F. W. King, "Sum rules for the optical constants, " J. Math. Phys. 17, 1509–1514 (1976).
  18. M. Altarelli, D. L. Dexter, H. M. Nussenzveig, and D. Y. Smith, "Superconvergence and sum rules for the optical constants, " Phys. Rev. B 12, 4502–4509 (1972).
  19. D. W. Johnson, "A Fourier series method for numerical Kramers-Kronig analysis, " J. Phys. A 8, 490–495 (1975).

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