Dispersion Theory and Moments Relations in Magneto-Optics

  • David Y. Smith
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 60)


In these lectures I shall focus on some rather simple, but very general aspects of magneto-optics. The material to be covered is based on recent advances in dispersion theory1–4 and the sum rule5–9 or moments analysis10, 11 of optical data which were prompted in large part by the discovery12, 13 of magneto-optical effects in defects that could not be analyzed by conventional theory. My aim is to provide both an introduction to these new methods and some insight into the physics on which they are based.


Dispersion Relation Circular Dichroism Faraday Rotation Dielectric Tensor Dispersion Theory 
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  1. 1.
    F. C. Brown and G. Laramore, Appl. Opt. 6, 669 (1967).ADSCrossRefGoogle Scholar
  2. 2.
    C. A. Emeis, L. J. Oosterhoff, and Gonda de Vries, Proc. Roy. Soc. London Ser. A297, 54 (1967).ADSCrossRefGoogle Scholar
  3. 3.
    W. P. Healy and E. A. Power, Am. J. Phys. 42, 1070 (1974).ADSCrossRefGoogle Scholar
  4. 4.
    D. Y. Smith, J. Opt. Soc. Am. 66, 454 (1976).ADSCrossRefGoogle Scholar
  5. 5.
    M. Altarelli, D. L. Dexter, H. M. Nussenzveig, and D. Y. Smith, Phys. Rev. B 6, 4502 (1972).ADSCrossRefGoogle Scholar
  6. 6.
    A. Villani and A. H. Zimerman, Phys. Lett. A44, 295 (1973); and Phys. Rev. B 8, 3914 (1973).MathSciNetADSGoogle Scholar
  7. 7.
    M. Altarelli and D. Y. Smith, Phys. Rev. B9, 1290 (1974).ADSGoogle Scholar
  8. 8.
    D. Y. Smith, Phys. Rev. B13, 5303 (1976).ADSGoogle Scholar
  9. 9.
    K. Furuya, A. H. Zimerman, and A. Villani, J. Phys. C9, 4329 (1976).ADSGoogle Scholar
  10. 10.
    C. H. Henry, S. E. Schnatterly, and C. P. Slichter, Phys. Rev. 137, A583 (1965)ADSCrossRefGoogle Scholar
  11. C. H. Henry and C. P. Slichter, Moments and Degeneracy in Optical Spectra, in: “Physics of Color Centers,” W. B. Fowler, ed., Academic, New York (1968).Google Scholar
  12. 11.
    J. J. Markham, J. Phys. Chem. Solids 37, 953 (1976), Solid State Commun. 24, 781 (1977)ADSCrossRefGoogle Scholar
  13. K. N. Vasudevan and J. J. Markham, Solid State Commun. 25, 584 (1978).CrossRefGoogle Scholar
  14. 12.
    N. V. Karlov, J. Margerie, and Y. Merle d’Aubigne, J. Phys. (Paris) 24, 717 (1963).CrossRefGoogle Scholar
  15. 13.
    F. Lüty and J. Mort, Phys. Rev. Letters 12, 45 (1964).ADSCrossRefGoogle Scholar
  16. 14.
    S. R. de Groot, “Thermodynamics of Irreversible Processes”, North-Holland Publishing Co., Amsterdam (1951).zbMATHGoogle Scholar
  17. 15.
    M. Faraday, Phil Mag. 29, 153 (1846).Google Scholar
  18. 16.
    W. Voigt, Nachr. Gesell. Wiss. Gottingen 5, 305 (1902).Google Scholar
  19. 17.
    See, for example, F. Stern, Elementary Theory of the Optical Properties of Solids, in: “Solid State Physics”, F. Seitz, and D. Turnbull, Ed., Academic, New York, (1963), Vol. 15.Google Scholar
  20. 18.
    G. Dresselhaus, A. F. Kip, and C. Kittel, Phys. Rev. 92, 827 (1953).ADSCrossRefGoogle Scholar
  21. 19.
    E. Burstein, G. S. Picus, H. A. Gebbie, and F. Blatt, Phys. Rev. 103, 825 (1956).ADSCrossRefGoogle Scholar
  22. 20.
    S. D. Smith, Magneto-Optics in Crystals, in: “Handbuch der Physik”, Vol. XXV/2a, L. Genzel, ed., Springer-Verlag, Berlin (1967).Google Scholar
  23. 21.
    J. G. Mavroides, Magneto-Optical Properties, in: “Optical Properties of Solids”, F. Abeles, ed., North-Holland Publishing Co., Amsterdam, (1972).Google Scholar
  24. 22.
    B. Lax, Cyclotron Resonance and Magneto-Optical Effects in Semiconductors, in: “Proceedings of the International School of Physics Enrico Fermi, XXII, Semiconductors”, R. A. Smith, ed., Academic Press, New York (1963).Google Scholar
  25. 23.
    S. D. Smith, Magneto-Optics, in: “Optical Properties of Solids,” S. Nudelman and S. S. Mitra, ed., Plenum Press, New York (1969).Google Scholar
  26. 24.
    S. E. Schnatterly, Phys. Rev. 183, 664 (1969).ADSCrossRefGoogle Scholar
  27. 25.
    D. Y. Smith, J. Opt. Soc. Am. 66, 547 (1976).ADSCrossRefGoogle Scholar
  28. 26.
    I. M. Boswarva, R. E. Howard, and A. B. Lidiard, Proc. Roy. Soc. London Ser. A269, 125 (1962).ADSCrossRefGoogle Scholar
  29. 27.
    I. M. Boswarva and A. B. Lidiard, Proc. Roy. Soc. London Ser. A278, 588 (1964).ADSCrossRefGoogle Scholar
  30. 28.
    H. S. Bennett and E. A. Stern, Phys. Rev. 137, A448 (1965).ADSCrossRefGoogle Scholar
  31. 29.
    R. Kubo, J. Phys. Soc. Japan 12, 570 (1957), and Some Aspects of the Statistical-Mechanical Theory of Irreversible Processes, in: “Lectures in Theoretical Physics,” W. E. Brittin and L. G. Dunham, ed., Inter-science, New York, (1959), Vol. 1.MathSciNetADSCrossRefGoogle Scholar
  32. 30.
    D. Pines and P. Nozieres, “Theory of Quantum Liquids,” Benjamin, New York (1966), Vol. 1, Sec. 2.3.Google Scholar
  33. 31.
    See H. B. Dwight, “Tables of Integrals,” MacMillan Co., New York (1934), No. 858.5.Google Scholar
  34. 32.
    L. D. Landau and E. M. Lifshitz, “Electrodynamics of Continuous Media,” Pergamon Press, Oxford (1960).Google Scholar
  35. 33.
    J. S. Toll, Phys. Rev. 104, 1760 (1956).MathSciNetADSCrossRefGoogle Scholar
  36. 34.
    H. M. Nussenzveig, “Causality and Dispersion Relations,” Academic Press, New York (1972), Chapter 1.Google Scholar
  37. 35.
    E. C. Titchmarsh, “Introduction to the Theory of Fourier Integrals” Oxford University Press, Oxford (1948), second edition, pp. 119–128.Google Scholar
  38. 36.
    See, for example, V. de Alfaro, S. Fubini, G. Furian and C. Rossetti, Phys. Lett. 21, 576 (1966)Google Scholar
  39. G. Frye and R. L. Warnock Phys. Rev. 130, 478 (1963).MathSciNetADSCrossRefGoogle Scholar
  40. 37.
    C. Lin and S. Okubo, Phys. Rev. Lett. 19, 190 (1967).ADSCrossRefGoogle Scholar
  41. 38.
    W. Kuhn, Z. Phys. Chem. B4, 14 (1929); Trans. Faraday Soc. 26, 293 (1930).Google Scholar
  42. 39.
    See for example, D. L. Dexter, Theory of the Optical Properties of Imperfections in Nonmetals, in: “Solid State Physics,” F. Seitz and D. Turnbull, Academic Press, New York (1958), Vol. 6.Google Scholar
  43. 40.
    For reviews see H. Pick, Struktur von Störstellen in Alkalihalogenid Kristellen, in: “Ergebnisse der Naturwissenshaften,” G. Höhler, ed., Springer-Verlag Berlin (1965), Vol. 38Google Scholar
  44. W. B. Fowler, Electronic States and Optical Transitions of Color Centers, in; “Physics of Color Centers,” W. B. Fowler, ed., Academic Press, New York (1968).Google Scholar
  45. 41.
    D. Y. Smith and G. Spinolo, Phys. Rev. 140, A2121 (1965).ADSCrossRefGoogle Scholar
  46. 42.
    D. Y. Smith, Phys. Rev. B6, 565 (1972).ADSGoogle Scholar
  47. 43.
    F. Lüty, Zeit. für Physik 160, 1 (1960).ADSCrossRefGoogle Scholar
  48. 44.
    D. L. Dexter, Phys. Rev. 111, 119 (1958).ADSCrossRefGoogle Scholar
  49. 45.
    Y. Uchida and K. Fukuda, Mem. Coll. Sci., Univ. Kyoto Ser. A26, 63 (1950).Google Scholar
  50. 46.
    O. Matumura, H. Inomata, and A. Okazaki, Mem. Sci. Kyusyu Univ. Ser. B. 1, 103 (1954).Google Scholar
  51. 7.
    F. C. Brown, B. C. Cavenett, and W. Hayes, Proc. Roy. Soc. London Ser. A 300, 78 (1967).ADSCrossRefGoogle Scholar
  52. 48.
    H. Becquerel, Compt. Rend. Acad. Sci. (Paris) 125, 679 (1897).Google Scholar
  53. 49.
    J. Gareyte and Y. Merle d’Aubigne, Compt. Rend. Acad. Sci. (Paris) 258, 6393 (1964).Google Scholar
  54. 50.
    As quoted by J. Margerie, J. Phys. (Paris) 28, Colloque C4, C4-103 (1967).Google Scholar
  55. 51.
    D. Y. Smith, Phys. Rev. 137, A574 (1965).ADSCrossRefGoogle Scholar
  56. 52.
    H. Paus and F. Lüty, Phys. Rev. Lett. 20, 57 (1968).ADSCrossRefGoogle Scholar
  57. 53.
    J. C. Kemp, W. M. Ziniker, and J. A. Glaze, Phys. Lett. 22, 37 (1966).ADSCrossRefGoogle Scholar
  58. 54.
    M. Thuau and J. Margerie, Phys. Status Solidi B47, 271 (1971).ADSCrossRefGoogle Scholar
  59. 55.
    D. Y. Smith, Phys. Rev. B8, 3939 (1973).ADSGoogle Scholar
  60. 56.
    A. H. Harker, J. Phys. C9, 2273 (1976).ADSGoogle Scholar
  61. 57.
    T. M. Wilson, Private communication.Google Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • David Y. Smith
    • 1
  1. 1.Solid State Science DivisionArgonne National LaboratoryArgonneUSA

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