Optics of Nonlinear Crystals

  • Valentin G. Dmitriev
  • Gagik G. Gurzadyan
  • David N. Nikogosyan
Part of the Springer Series in Optical Sciences book series (SSOS, volume 64)

Abstract

This chapter introduces the main concepts of the physics of nonlinear optical processes: three-wave interactions, phase matching and phase-matching angle, role of phase mismatch for the interaction of quasi-plane waves, group-velocity mismatch and interaction of ultrashort light pulses, optics of uniaxial and biaxial crystals, crystal symmetry and effective nonlinearity, “walk-off” angle, phase-matching bandwidths (angular, temperature, spectral), thermal effects, and so on. It presents the main material required for calculating of phase-matching angles and for an assessment (as a rule, in approximation of quasi-plane light waves) of frequency conversion efficiency in the case of generation of optical harmonics and combination (sum and difference) frequencies, and optical parametric oscillation in nonlinear optical crystals. For convenience, the so-called “effective lengths” are introduced for the corresponding processes: by comparing the nonlinear crystal’s length with the effective length of the corresponding process, we may conclude whether this process must be taken into account for the calculation of the conversion efficiency or not. The chapter contains many tables with the equations for calculating phase-matching and “walk-off” angles, bandwidths, effective nonlinearity and conversion efficiency.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 2.1
    S.A. Akhmanov, R.V. Khokhlov: Problems of Nonlinear Optics (VINITI, Moscow 1964) (In Russian)Google Scholar
  2. 2.2
    N. Bloembergen: Nonlinear Optics ( Benjamin, New York 1965 )MATHGoogle Scholar
  3. 2.3
    F. Zernicke, J.E. Midwinter: Applied Nonlinear Optics ( Wiley, New York 1973 )Google Scholar
  4. 2.4
    V.G. Dmitriev, L.V. Tarasov: Optique Non Lineaire Appliquee (MIR, Moscow 1987). [Translated from Russian: V.G. Dmitriev, L.V. Tarasov, Prikladnaya Nelineinaya Optika (Radio i Sviyaz, Moscow 1982)]Google Scholar
  5. 2.5
    Y.V. Voroshilov, D.N. Nikogosyan: Kvantovaya Elektron. 3, 608–610 (1976) [English transl.: Soy. J. Quantum Electron. 6, 326–327 (1976)]Google Scholar
  6. 2.6
    A. Yariv, P. Yeh: Optical Waves in Crystals ( Wiley, New York 1984 )Google Scholar
  7. 2.7
    D.N. Nikogosyan, G.G. Gurzadyan: Kvantovaya Elektron. 13, 2519–2520 (1986) [English transl.: Soy. J. Quantum Electron. 16, 1663–1664 (1986)]Google Scholar
  8. 2.8
    F. Brehat, B. Wyncke: J. Phys. B 22, 1891–1898 (1989)ADSCrossRefGoogle Scholar
  9. 2.9
    J.P. Feve, B. Boulanger, G. Manlier: Opt. Commun. 99, 284–302 (1993)ADSCrossRefGoogle Scholar
  10. 2.10
    D.Yu. Stepanov, V.D. Shigorin, G.P. Shipulo: Kvantovaya Elektron. 11 1957–1964 (1984) [English trans].: Soy. J. Quantum Electron. 14, 1315–1320 (1984)]Google Scholar
  11. 2.11
    M.V. Hobden: J. Appl. Phys. 38, 4365–4372 (1967)ADSCrossRefGoogle Scholar
  12. 2.12
    D.N. Nikogosyan, G.G. Gurzadyan: Kvantovaya Elektron. 14, 1529–1541 (1987) [English transi.: Soy. J. Quantum Electron. 17, 970–977 (1987)]Google Scholar
  13. 2.13
    M. Kashke, C. Koch: Appl. Phys. B 49, 419–423 (1989)CrossRefGoogle Scholar
  14. 2.14
    N.K. Sidorov: Kvantovaya Elektron. 19, 880–881 (1992) [English transi.: Soy. J. Quantum Electron. 22, 818–819 (1992)]Google Scholar
  15. 2.15
    D.A. Kleinman: Phys. Rev. 126, 1977–1979 (1962)ADSCrossRefGoogle Scholar
  16. 2.16
    V.G. Dmitriev, I.Ya. Itskhoki: “Optical Frequency Multipliers”, in Handbook of Lasers,Vol. 2, by A.M. Prokhorov (Sovetskoe Radio, Moscow 1978) pp. 292–319 (In Russian)Google Scholar
  17. 2.17
    H. Ito, H. Inaba: IEEE J. QE-8, 612 (1972)Google Scholar
  18. 2.18
    H. Ito, H. Naito, H. Inaba: IEEE J. QE-10, 247–252 (1974)Google Scholar
  19. 2.19
    H. Ito, H. Naito, H. Inaba: J. Appl. Phys. 46, 3992–3998 (1975)ADSCrossRefGoogle Scholar
  20. 2.20
    K. Kato: Opt. Quant. Electron. 8, 261–262 (1976)CrossRefGoogle Scholar
  21. 2.21
    O.I. Lavrovskaya, N.I. Pavlova, A.V. Tarasov: Kristallografiya 31, 1145–1151 (1986) [English transi.: Sov. Phys. -Crystallogr. 31, 678–682 (1978)]Google Scholar
  22. 2.22
    V.G. Dmitriev, D.N. Nikogosyan: Opt. Commun. 95, 173–182 (1992)ADSCrossRefGoogle Scholar
  23. 2.23
    M.A. Dreger, J.H. Erkkila: Opt. Lett. 17, 787–788 (1992)ADSCrossRefGoogle Scholar
  24. 2.24
    J.F. Nye: Physical Properties of Crystals ( Clarendon, Oxford 1957 )MATHGoogle Scholar
  25. 2.25
    J.L. Oudar, R. Hierle: J. Appl. Phys. 48, 2699–2704 (1977)ADSCrossRefGoogle Scholar
  26. 2.26
    J.-M. Halbout, C.L. Tang: IEEE J. QE18, 410–415 (1982)Google Scholar
  27. 2.27
    D. Eimerl, S. Velsko, L. Davis, F. Wang, G. Loiacono, G. Kennedy: IEEE J. QE25, 179–193 (1989)Google Scholar
  28. 2.28
    I. Ledoux, C. Lepers, A. Perigaud, J. Badan, J. Zyss: Opt. Commun. 80, 149–154 (1990)ADSCrossRefGoogle Scholar
  29. 2.29
    D. Roberts: IEEE J. QE-28, 2057–2074 (1992)Google Scholar
  30. 2.30
    A.P. Sukhorukov: Nonlinear Wave Interactions in Optics and Radiophysics (Nauka, Moscow 1988) (In Russian)Google Scholar
  31. 2.31
    E. Yanke, F. Emde, F. Lösch: Tafeln höherer Funktionen ( Teubner, Stuttgart 1960 )MATHGoogle Scholar
  32. 2.32
    S.A. Akhmanov, V.A. Vysloukh, A.S. Chirkin: Optics of Femtosecond Laser Pulses (American Institute of Physics, New York 1992) [Translated from Russian: S.A. Akhmanov, V.A. Vysloukh, A.S. Chirkin, Optics of Femtosecond Laser Pulses (Nauka, Moscow 1988)]Google Scholar
  33. 2.33
    R. Danelyus, A. Piskarskas, V. Sirutkaitis, A. Stabinis, Ya. Yasevichyute: Optical Parametric Oscillators and Picosecond Spectroscopy (Mosklas, Vilnyus 1983) (In Russian)Google Scholar
  34. 2.34
    S.L. Shapiro (ed.): Ultrashort Light Pulses. Picosecond Technques and Applications, Topics in Applied Physics, Vol. 18 ( Springer-Verlag, Berlin, Heidelberg, 1977 )Google Scholar
  35. 2.35
    J. Herrmann, B. Wilhelmi: Laser für ultrakurze Lichtimpulse. Grundlagen und Anwendungen ( Akademie, Berlin 1984 )Google Scholar
  36. 2.36
    J.D. Boyd, D.A. Kleinman: J. Appl. Phys. 39, 3597–3639 (1968)ADSCrossRefGoogle Scholar
  37. 2.37
    V.G. Dmitriev, L.A. Kulevskii: “Optical Parametric Oscillators”, in Handbook of Lasers, Vol. 2, ed. by A.M. Prokhorov (Sovetskoe Radio, Moscow 1978), pp. 319–348 (In Russian)Google Scholar
  38. 2.38
    D.S. Chemla, J. Zyss (eds.): Nonlinear Optical Properties of Organic Molecules and Crystals, Vols. 1, 2 ( Academic, New York 1987 )Google Scholar
  39. 2.39
    I.S. Rez, Yu. M. Poplavko: Dielectrics. Main Properties and Applications in Electronics (Radio i Sviyaz, Moscow 1989) (In Russian)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Valentin G. Dmitriev
    • 1
  • Gagik G. Gurzadyan
    • 2
  • David N. Nikogosyan
    • 3
  1. 1.R&D Institute “Polyus”MoscowRussia
  2. 2.National Academy of Sciences of ArmeniaYerevanArmenia
  3. 3.Institute of Nonlinear ScienceUniversity College CorkCorkIreland

Personalised recommendations