Abstract
The process of nondegenerate optical parametric amplification in a low-frequency pump field that includes the traditional process of parametric amplification at high-frequency pumping and two up-conversion processes is investigated. Such coupled interactions can be simultaneously realized in an aperiodic nonlinear photonic crystal (ANPC) i.e., in a crystal with an aperiodic change of sign of the nonlinear wave coupling coefficient. ANPCs can be created by the method of superposition of nonlinearity modulations by three functions for each of which the quasi-phase-matching condition is met for one of the processes involved in the interaction. In addition to the results obtained from a direct numerical solution of the original coupled equations with spatially varying wave coupling coefficients, the results of their solution containing effective constant wave coupling coefficients are presented. An approach that allows the calculation of these coefficients to be simplified considerably has been developed. The two methods have been found to yield closely coincident results for the characteristics of the processes studied here. A LiNbO3 ANPC has been used as an example to calculate the tuning characteristics of the process, its dynamics, the frequency bands of parametric amplification, and the effect of a random deviation from the quasi-phase-matching conditions on the wave interaction efficiency.
Similar content being viewed by others
References
S. A. Akhmanov and R. V. Khokhlov, Zh. Éksp. Teor. Fiz. 43, 351 (1962) [Sov. Phys. JETP 16, 252 (1962)].
R. Kingston, Proc. IRE 50, 472 (1962).
H. Kroll, Phys. Rev. 127, 1207 (1962).
S. A. Akhmanov, A. I. Kovrigin, A. S. Piskarskas, R. V. Khokhlov, and V. V. Fadeev, Pis’ma Zh. Éksp. Teor. Fiz. 2(7), 302 (1965) [JETP Lett. 2 (7), 191 (1965)].
S. A. Akhmanov and R. V. Khokhlov, Problems of Nonlinear Optics (VINITI, Moscow, 1964; Gordon and Breach, New York, 1972).
V. G. Dmitriev and L. V. Tarasov, Applied Nonlinear Optics (Fizmatlit, Moscow, 2004) [in Russian].
A. L. Aleksandrovski, A. S. Chirkin, and V. V. Volkov, J. Russ. Laser Res. 18, 101 (1997).
O. Pfister, J. S. Wells, L. Hollberg, L. Zink, D. A. van Baar, M. D. Levenson, and W. R. Bosenberg, Opt. Lett. 22, 1211 (1997).
V. V. Volkov and A. S. Chirkin, Kvantovaya Élektron. (Moscow) 25, 101 (1998).
E. Yu. Morozov and A. S. Chirkin, J. Opt. A: Pure Appl. Opt. 5, 233 (2003).
Y.-Y. Zhu and N.-B. Ming, Opt. Quantum Electron. 31, 1093 (1999).
S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, Prog. Opt. 47, 1 (2005).
A. A. Novikov and A. S. Chirkin, Zh. Éksp. Teor. Fiz. 133(3), 483 (2008) [JETP 106 (3), 415 (2008)].
A. S. Chirkin and I. V. Shutov, Pis’ma Zh. Éksp. Teor. Fiz. 86(11), 803 (2007) [JETP Lett. 86 (11), 693 (2007)].
I. V. Shutov, A. A. Novikov, and A. S. Chirkin, Kvantovaya Élektron. (Moscow) 38, 258 (2008).
I. V. Shutov and A. S. Chirkin, Phys. Rev. A: At., Mol., Opt. Phys. 78, 013 827 (2008).
H. Ito, C. Takyu, and H. Inada, Electron. Lett. 27, 1221 (1991).
K. Mizuuchi, K. Yamamoto, and M. Kato, Appl. Phys. Lett. 70, 10 (1997).
A. S. Chirkin, M. Yu. Saigin, and I. V. Shutov, J. Russ. Laser Res. 29, 4 (2008).
G. K. Kitaeva, I. I. Naumova, A. A. Mikhailovsky, P. S. Losevsky, and A. N. Penin, Appl. Phys. B: Lasers Opt. 66, 201 (1998).
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (Nauka, Moscow, 1988; American Institute of Physics, New York, 1991).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.S. Chirkin, I.V. Shutov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 4, pp. 639–649.
Rights and permissions
About this article
Cite this article
Chirkin, A.S., Shutov, I.V. Parametric amplification of light waves at low-frequency pumping in aperiodic nonlinear photonic crystals. J. Exp. Theor. Phys. 109, 547–556 (2009). https://doi.org/10.1134/S1063776109100021
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776109100021