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.
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References
S.A. Akhmanov, R.V. Khokhlov: Problems of Nonlinear Optics (VINITI, Moscow 1964) (In Russian)
N. Bloembergen: Nonlinear Optics ( Benjamin, New York 1965 )
F. Zernicke, J.E. Midwinter: Applied Nonlinear Optics ( Wiley, New York 1973 )
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)]
Y.V. Voroshilov, D.N. Nikogosyan: Kvantovaya Elektron. 3, 608–610 (1976) [English transl.: Soy. J. Quantum Electron. 6, 326–327 (1976)]
A. Yariv, P. Yeh: Optical Waves in Crystals ( Wiley, New York 1984 )
D.N. Nikogosyan, G.G. Gurzadyan: Kvantovaya Elektron. 13, 2519–2520 (1986) [English transl.: Soy. J. Quantum Electron. 16, 1663–1664 (1986)]
F. Brehat, B. Wyncke: J. Phys. B 22, 1891–1898 (1989)
J.P. Feve, B. Boulanger, G. Manlier: Opt. Commun. 99, 284–302 (1993)
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)]
M.V. Hobden: J. Appl. Phys. 38, 4365–4372 (1967)
D.N. Nikogosyan, G.G. Gurzadyan: Kvantovaya Elektron. 14, 1529–1541 (1987) [English transi.: Soy. J. Quantum Electron. 17, 970–977 (1987)]
M. Kashke, C. Koch: Appl. Phys. B 49, 419–423 (1989)
N.K. Sidorov: Kvantovaya Elektron. 19, 880–881 (1992) [English transi.: Soy. J. Quantum Electron. 22, 818–819 (1992)]
D.A. Kleinman: Phys. Rev. 126, 1977–1979 (1962)
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)
H. Ito, H. Inaba: IEEE J. QE-8, 612 (1972)
H. Ito, H. Naito, H. Inaba: IEEE J. QE-10, 247–252 (1974)
H. Ito, H. Naito, H. Inaba: J. Appl. Phys. 46, 3992–3998 (1975)
K. Kato: Opt. Quant. Electron. 8, 261–262 (1976)
O.I. Lavrovskaya, N.I. Pavlova, A.V. Tarasov: Kristallografiya 31, 1145–1151 (1986) [English transi.: Sov. Phys. -Crystallogr. 31, 678–682 (1978)]
V.G. Dmitriev, D.N. Nikogosyan: Opt. Commun. 95, 173–182 (1992)
M.A. Dreger, J.H. Erkkila: Opt. Lett. 17, 787–788 (1992)
J.F. Nye: Physical Properties of Crystals ( Clarendon, Oxford 1957 )
J.L. Oudar, R. Hierle: J. Appl. Phys. 48, 2699–2704 (1977)
J.-M. Halbout, C.L. Tang: IEEE J. QE18, 410–415 (1982)
D. Eimerl, S. Velsko, L. Davis, F. Wang, G. Loiacono, G. Kennedy: IEEE J. QE25, 179–193 (1989)
I. Ledoux, C. Lepers, A. Perigaud, J. Badan, J. Zyss: Opt. Commun. 80, 149–154 (1990)
D. Roberts: IEEE J. QE-28, 2057–2074 (1992)
A.P. Sukhorukov: Nonlinear Wave Interactions in Optics and Radiophysics (Nauka, Moscow 1988) (In Russian)
E. Yanke, F. Emde, F. Lösch: Tafeln höherer Funktionen ( Teubner, Stuttgart 1960 )
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)]
R. Danelyus, A. Piskarskas, V. Sirutkaitis, A. Stabinis, Ya. Yasevichyute: Optical Parametric Oscillators and Picosecond Spectroscopy (Mosklas, Vilnyus 1983) (In Russian)
S.L. Shapiro (ed.): Ultrashort Light Pulses. Picosecond Technques and Applications, Topics in Applied Physics, Vol. 18 ( Springer-Verlag, Berlin, Heidelberg, 1977 )
J. Herrmann, B. Wilhelmi: Laser für ultrakurze Lichtimpulse. Grundlagen und Anwendungen ( Akademie, Berlin 1984 )
J.D. Boyd, D.A. Kleinman: J. Appl. Phys. 39, 3597–3639 (1968)
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)
D.S. Chemla, J. Zyss (eds.): Nonlinear Optical Properties of Organic Molecules and Crystals, Vols. 1, 2 ( Academic, New York 1987 )
I.S. Rez, Yu. M. Poplavko: Dielectrics. Main Properties and Applications in Electronics (Radio i Sviyaz, Moscow 1989) (In Russian)
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Dmitriev, V.G., Gurzadyan, G.G., Nikogosyan, D.N. (1999). Optics of Nonlinear Crystals. In: Handbook of Nonlinear Optical Crystals. Springer Series in Optical Sciences, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46793-9_2
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DOI: https://doi.org/10.1007/978-3-540-46793-9_2
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