Abstract
Features of Raman gain of probe radiation in three-level atoms placed in a defect of a one-dimensional photonic crystal in the presence of laser radiation (pump) at an adjacent high-frequency transition have been theoretically investigated. It has been shown that there is a pump intensity range where narrow peaks (resonances) simultaneously appear in the transmission and reflection spectra of the probe field. Beyond this region, the peak in the transmission spectrum is transformed to a narrow dip. The spectral position of these peaks is determined by the Raman resonance and the transmittance and reflectance can be larger than unity at pump intensities from several microwatts per square centimeter to several tens of milliwatts per square centimeter. The nature of narrow peaks is due to a sharp dispersion of a nonlinear refractive index near the Raman resonance; this dispersion is responsible for a strong decrease in the group velocity of probe radiation. The proposed scheme makes it possible to obtain controlled ultranarrow resonances in the transmission and reflection spectra of the photonic crystal.
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V. F. Shabanov, S. Ya. Vetrov, and A. V. Shabanov, Optics of Real Photonic Crystals: Liquid-Crystal Defects and Inhomogeneities (Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2005) [in Russian].
K. Busch, G. von Freymann, S. Linden, S. F. Mingaleev, L. Tkeshelashvili, and M. Wegener, Phys. Rep. 444, 101 (2007).
J. Bravo-Abad, A. Rodriges, P. Bermei, S. G. Johnson, J. D. Joannopoulos, and M. Soljacic, Opt. Express 15, 16161 (2007).
P. Lalanne, C. Sauvan, and J. P. Hugonin, Laser Photonics Rev. 2, 514 (2008).
K. J. Vahala, Nature (London) 424, 839 (2003).
S. L. McCall, A. F. Levi, R. E. Slusher, S. J. Pearton, and R. A. Logan, Appl. Phys. Lett. 60, 289 (1992).
D. W. Vernooy, A. Fugusawa, N. Ph. Georgiades, V. S. Ilchenko, and H. J. Kimble, Phys. Rev. A: At., Mol., Opt. Phys. 57(4), R2293 (4 pages) (1998).
D. Englund, Y. Altug, B. Ellis, and J. Vučković, Laser Photonics Rev. 2, 264 (2008).
X. Yang and C. W. Wong, Opt. Express 15, 4723 (2007).
J. F. McMillan, X. Yang, N. C. Panoiu, R. M. Osgood, and C. W. Wong, Opt. Lett. 31, 1235 (2006).
T. Baba, Nat. Photonics 2, 465 (2008).
S. V. Spillane, T. J. Kippenbetg, and K. J. Vahala, Nature (London) 415, 621 (2002).
T. J. Kippenbetg, S. V. Spillane, D. K. Armani, and K. J. Vahala, Opt. Lett. 29, 1224 (2004).
E. L. Ivchenko, M. A. Kaliteevski, A. V. Kavokin, and A. I. Nesvizhskii, J. Opt. Soc. Am. B 13, 1061 (1996).
G. Khitrova and H. M. Gibbs, Rev. Mod. Phys. 71, 1591 (1999).
S. John and V. Florescu, J. Opt. A: Pure Appl. Opt. 3, S101 (2001).
V. G. Arkhipkin, S. A. Myslivets, I. V. Timofeev, A. V. Shabanov, S. Ya. Vetrov, and V. P. Timofeev, in Proceedings of the Eighth International Conference on Laser and Fiber-Optical Networks Modeling (LFNM’2006), Kharkov, Ukraine, June 19–July 1, 2006 (Kharkov, 2006), p. 313.
M. Fleischhauer, A. Immamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
M. Soljacic and J. D. Joannopoulos, Nat. Mater. 3, 211 (2004).
M. Soljacic, E. Lidorikis, L. V. Hau, and J. D. Joannopoulos, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 71, 026602 (2005).
V. G. Arkhipkin and S. A. Myslivets, Kvantovaya Elektron. (Moscow) 39, 157 (2009) [Quantum Electron. 39, 157 (2009)].
M. G. Payne and L. Deng, Phys. Rev. A: At., Mol., Opt. Phys. 64, 031 802 (2001).
S. Inouye, R. F. Löw, S. Gupta, T. Pfau, A. Görlitz, T. L. Gustavson, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 85, 4225 (2000).
K. Lee and N. M. Lawandy, Appl. Phys. Lett. 78, 703 (2001).
J. E. Sharping, Y. Okawachi, and A. L. Gaeta, Opt. Express 13, 6092 (2005).
S. A. Akhmanov and N. I. Koroteev, Methods of Nonlinear Optics in Light Scattering Spectroscopy (Nauka, Moscow, 1981) [in Russian].
K. S. Repasky, L. Meng, J. K. Brasseur, J. L. Carlsten, and R. C. Swanson, J. Opt. Soc. Am. B 16, 717 (1999).
M. Poeiker and P. Kumar, Opt. Lett. 17, 399 (1992).
D. N. Klyshko, Physical Foundations of Quantum Electronics (Nauka, Moscow, 1986; World Scientific, Singapore, 2010).
A. Yariv, Quantum Electronics (Wiley, New York, 1975; Sovetskoe Radio, Moscow, 1980).
R. W. Boyd, Nonlinear Optics (Academic, London, 1992).
A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, New York, 1984; Mir, Moscow, 1987).
A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 63, 046609 (2001).
A. Yariv, Introduction to Optical Electronics (Holt, Rinehart, and Winston, New York, 1977; Vysshaya Shkola, Moscow, 1983).
Y. Shimizu, N. Shiokawa, N. Tamamamoto, M. Kozuma, T. Kuga, L. Deng, and E. W. Hagley, Phys. Rev. Lett. 89, 233001 (2002).
J. Zhang, G. Hernandez, and Y. Zhu, Opt. Lett. 33, 46 (2008).
S. Stenholm, Foundations of Laser Spectroscopy (Wiley, New York, 1984; Mir, Moscow, 1987).
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Original Russian Text ©V.G. Arkhipkin, S.A. Myslivets, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 6, pp. 1018–1027.
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Arkhipkin, V.G., Myslivets, S.A. Transmission and reflection spectra of a photonic crystal with a Raman defects. J. Exp. Theor. Phys. 111, 898–906 (2010). https://doi.org/10.1134/S1063776110120022
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DOI: https://doi.org/10.1134/S1063776110120022