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Optics Communications

A semi-classical approach to two-frequency solitons in a three-level cascade atomic system

Nadeem A. Ansari, Isaac N. Towers, Zlatko Jovanoski, Harvinder Singh Sidhu

Published Mar 6, 2007• 7 citations
Publisher
DOI
10.1016/j.optcom.2007.02.019

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We investigate the onset of vector solitons in a three level, cascade, atomic system. We present an existence curve in the model parameter space for bright vector solitons. Approximate analytical solutions are given and the stability of the solutions discussed. Numerical simulations confirm the analytical predictions. References M. Segev. Optical spatial solitons. Optical and Quantum Electronics, 30, 1998, 503--533. J. Li, J. Liu and X. Yang. Superluminal optical soliton via resonant tunneling in coupled quantum dots. Physica E, 40, 2008, 2916--2920. doi:10.1016/j.physe.2008.02.004 G. Huang, L. Deng and M. G. Payne. Dynamics of ultraslow optical solitons in a cold three-state atomic system. Phys. Rev. E, 72, 2005, 016617. doi:10.1103/PhysRevE.72.016617 N. A. Ansari, Z. Jovanoski, H. S. Sidhu and I. N. Towers. Non-linear interaction of two intense fields with a three-level atomic system. J. Nonlin. Opt. Phys. Mat., 15, 2006, 401--413. doi:10.1142/S0218863506003402 N. A. Ansari, I. N. Towers, Z. Jovanoski and H. S. Sidhu. A semi-classical approach to two-frequency solitons in a three-level cascade atomic system. Opt. Commun., 274, 2007, 66--73. doi:10.1016/j.optcom.2007.02.019 C. R. Menyuk, IEEE J. Quantum Electron., {QE-23}, 174 (1987). Y. S. Kivshar and G. P. Agrawal. Optical Solitons: From fibers to photonic crystals, Chapter 9, San Diego: Academic Press, 2003. N. N. Akhmediev and A. Ankiewicz. Solitons: Nonlinear pulses and beams, p.27, London : Chapman and Hall, 1997. S. Flugge. Practical quantum mechanics, Vol. 1, pg. 94--100, Berlin; New York : Springer-Verlag, 1971. A. W. Snyder and J. D. Love. Optical Waveguide Theory, pp. 264--8, London; New York : Chapman and Hall, 1983. F. W. J. Olver. Introduction to Asymptotics and Special Functions, p.169, New York; London: Academic Press, 1974. L. F. Shampine, P. H. Muir and H. Xu. A User-Friendly BVP solver. JNAIAM, 1, 2006, 201--17. http://cs.stmarys.ca/ muir/JNAIAM_Shampine_Muir_Xu2006.pdf O. V. Sinkin, R. Holzlohner, J. Zweck and C. R. Menyuk. Optimization of the Split-Step Fourier Method in Modeling Optical-Fiber Communications Systems. J. Lightw. Technol., 21, 2003, 61--8. doi:10.1109/JLT.2003.808628
Propagation of dichromatic femtosecond laser pulses tuned respectively in single-photon resonances with the cascade three-level system is studied. The initial areas of the two pulses are both equal to 2π, which makes them respectively an optical soliton in ideal two-level systems. When the dichromatic solitons are synchronized into the medium, both the temporal shapes and the spectral distributions of the pulses are strongly distorted during propagation. The delay time between the dichromatic solitons plays an important role on the evolution of the fields.