Abstract
We consider the parametric amplification of a light beam in nonlinear photonic crystals (NLPCs) under a high-frequency pump and periodic spatial modulation of the coefficient of nonlinear coupling of the waves. We study the behavior of the intensity of the amplified diffracting beam using the matrix approach. We compare our results with the parametric interaction of beams in homogeneous nonlinear optical crystals. We show that the analysis of diffraction effects at nonlinear optical interaction in NLPCs, taking into account only noncompensated quasi-phase mismatching, is incorrect.
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References
R. L. Byer, J. Nonlin. Opt. Phys. Mater., 6, 549 (1997).
A. S. Chirkin and D. B. Yusupov, Sov. J. Quantum Electron., 8, 440 (1982).
V. G. Dmitriev and Yu. V. Yur’ev, Quantum Electron., 25, 1033 (1998).
E. V. Makeev and A. S. Chirkin, Opt. Spectrosc., 98, 121 (2005).
A. N. Oraevskii, Quantum Electron., 14, 1525 (1987).
A. N. Oraevskii, J. Exp. Theor. Phys., 95, 59 (1989).
L. E. Myers, R. C. Eckardt, M. M. Fejer, and R. L. Byer, J. Opt. Soc. Am. B, 12, 2102 (1995).
H. H. Abu-Safe, Appl. Phys. Lett., 86, 231105 (2005).
A. S. Chirkin and E. V. Makeev, J. Mod. Opt., 53, 821 (2006).
M. Yu. Saygin and A. S. Chirkin, J. Exp. Theor. Phys., 11, 11 (2010).
C. B. Clausen, O. Bang, Y. S. Kivshar, Phys. Rev. Lett., 78, 4749 (1997).
C. B. Clausen, Y. S. Kivshar, O. Bang, and P. L. Christiansen, Phys. Rev. Lett., 83, 4740 (1999).
J. F. Corney and O. Bang, Phys. Rev. Lett., 87, 133901 (2001).
J. F. Corney and O. Bang, Phys. Rev. E, 64, 047601 (2001).
G. Xu, Y. Zhu, S. Zhu, et al., Opt. Commun., 223, 211 (2003).
D. B. Yusupov and U. K. Sapaev, Nonlinear Optics of Photonic Crystals [in Russian], Fan Publishers, Tashkent, Uzbekistan (2012).
A. S. Chirkin and D. B. Yusupov, Sov. J. Quantum Electron., 8, 440 (1981).
P. Lancaster, Theory of Matrices, Academic Press, New York (1969).
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Chirkin, A.S. Diffraction of Light Beams at Parametric Interaction in Nonlinear Photonic Crystals. J Russ Laser Res 35, 462–469 (2014). https://doi.org/10.1007/s10946-014-9448-x
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DOI: https://doi.org/10.1007/s10946-014-9448-x