Abstract
The chapter describes fundamental aspects of non-linear optics and introduces the reader to a wide range of nonlinear optical phenomena. The description starts with Maxwell’s equations, nonlinear polarization and followed by nonlinear wave equation, and its application to several important high order nonlinear processes. The covered nonlinear processes are described in details at both theoretical and practical levels, including examples of demonstrated fiber lasers with nonlinear frequency conversion.
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References
D.A. Kleinman, Nonlinear dielectric polarization in optical media. Phys. Rev. 126, 1977–1979 (1962)
P. Powers, Fundamentals of Nonlinear Optics (CRC Press, Boca Raton, FL, USA, 2011), pp. 1–311
R.L. Byer, Nonlinear optical phenomena and materials. Annu. Rev. Mater. Sci. 4, 147–190 (1974)
M.V. Hobden, Phase-matched second-harmonic generation in biaxial crystals. J. Appl. Phys. 38(11), 4365–4372 (1967)
P.A. Franken, A.E. Hill, C.W. Peters, G. Weinreich, Generation of optical harmonics. Phys. Rev. Lett. 7(4), 118–120 (1961)
J.A. Giordmaine, Mixing of light beams in crystals. Phys. Rev. Lett. 8, 19–20 (1962)
R.L. Byer, Y.K. Park, R.S. Feigelson, W.L. Kway, Efficient second-harmonic generation of Nd:YAG laser radiation using warm phasematching LiNbO3. Appl. Phys. Lett. 39, 17–19 (1981)
M. Born, E. Wolf, Principles of Optics (Pergamon Press, Ltd., London, 1959), p. 678
F. Kartner, O. Mucke, Nonlinear Optics (University of Hamburg, Hamburg, Germany, 2018), pp. 1–387
J.A. Armstrong, N. Bloembergen, J. Ducuing, P.S. Pershan, Interactions between light waves in a nonlinear dielectric. Phys. Rev. 127, 1918–1939 (1962)
F. Träger (ed.), Springer Handbook of Lasers and Optics (Springer, Berlin Heidelberg, Germany, 2012), pp. 1–1600
G.D. Boyd, D.A. Kleinman, Parametric interaction of focused Gaussian light beams. J. Appl. Phys. 39, 3597–3639 (1968)
J.A. Giordmaine, R.C. Miller, Tunable coherent parametric oscillation in LiNbO3 at optical frequencies. Phys. Rev. Lett. 14, 973–976 (1965)
T.A. Chernysheva et al., High efficiency, high power solid-state visible lasers for large format-display applications. Proc. SPIE 7197, 719704-1–719704-8 (2009)
F.J. Kontur, I. Dajani, Y. Lu, R.J. Knize, Frequency-doubling of a CW fiber laser using PPKTP, PPMgSLT and PPMgLN. Opt. Express 15(20), 12882–12889 (2007)
D. Hu, E. Eisenberg, P. Madasamy, R. Mead, E. Honea, 70-Watt green laser with near diffraction-limited beam quality. Proc. SPIE 7197, 719705-1–719705-5 (2009)
S.U. Alam et al., Externally modulated, diode seeded Yb3+-doped fiber MOPA pumped high peak power optical parametric oscillator. Proc. SPIE 7197, 71970H-1–71970H-9 (2009)
Y. Gan, X. Gu, J.Y.C. Koo, W. Liang, C.-Q. Xu, Second harmonic generation using an all-Fiber Q-switched Yb-doped fiber laser and MgO:c-PPLN. Adv. OptoElectron 2008, Article ID 956908, 1–6 (2008). https://doi.org/10.1155/2008/956908
C. Kieleck, A. Berrou, B. Donelan, B. Cadier, T. Robin, M. Eichhorn, 6.5 W ZnGeP2 OPO directly pumped by a Q-switched Tm3+-doped single-oscillator fiber laser. Opt. Lett. 40, 1101–1104 (2015)
J.-B. Lecourt, S. Guillemet, J. Dupuy, A. Gognau, Y. Hernandez, High-power picosecond fiber-based laser operating at 515 nm. Proc. SPIE 10683, 1068338-1–1068338-7 (2018)
Xiaogang Jiang, Feihong Chen, Taoce Yin, E. Forsberg, S. He, Generation of high-power 780 nm femtosecond pulses by an all-polarization-maintaining Er-doped fiber amplification system. Appl. Opt. 58, 4492–4496 (2019)
Y. Wang, Theory of stimulated Raman scattering. Phys. Rev. 182, 482–494 (1969)
E. Bélanger, M. Bernier, D. Faucher, D. Côté, R. Vallée, High-power and widely tunable all-fiber Raman laser. J. Lightwave Technol. 26(12), 1696–1701 (2008)
Y. Glick, Y. Shamir, M. Aviel, Y. Sintov, S. Goldring, N. Shafir, S. Pearl, 1.2 kW clad pumped Raman all-passive-fiber laser with brightness enhancement. Opt. Lett. 43(19), 4755–4758 (2018)
Lei Zhang, Chi Liu, Huawei Jiang, Yunfeng Qi, Bing He, Jun Zhou, Xijia Gu and Yan Feng, Kilowatt Ytterbium-Raman fiber laser. Opt. Express 22(15), 18483–18489 (2014)
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Ter-Mikirtychev, V.V. (2019). Nonlinear Frequency Conversion. In: Fundamentals of Fiber Lasers and Fiber Amplifiers. Springer Series in Optical Sciences, vol 181. Springer, Cham. https://doi.org/10.1007/978-3-030-33890-9_12
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DOI: https://doi.org/10.1007/978-3-030-33890-9_12
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