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2009-09-28

Spatial Soliton Pairing of Two Cylindrical Beams in Saturable Nonlinear Media

By Ram Krishna Sarkar and Sarang Medhekar
Progress In Electromagnetics Research M, Vol. 9, 53-64, 2009
doi:10.2528/PIERM09082301

Abstract

In this paper, we have extended the recently introduced theory of coupled propagation of two coaxially co-propagating and mutually incoherent bright 1-D beams to coupled propagation of two 2-D (cylindrical) bright beams and investigated the propagation behavior and spatial soliton pair formation of such beams by a recently introduced simple approach. We have considered saturable form of the nonlinear medium in this paper as 2-D spatial solitons are unstable in Kerr type media. We found that many of the propagation features of two 2-D beams in saturable media are same that of 1-D beams in Kerr type media. However, many features are different and to the best of our knowledge, reported in this paper for the first time. The present version of the theory is applicable in all possible physical situations and parameters.

Citation


Ram Krishna Sarkar and Sarang Medhekar, "Spatial Soliton Pairing of Two Cylindrical Beams in Saturable Nonlinear Media," Progress In Electromagnetics Research M, Vol. 9, 53-64, 2009.
doi:10.2528/PIERM09082301
http://www.jpier.org/PIERM/pier.php?paper=09082301

References


    1. Segev, M., B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media ," Phys. Rev. Lett., Vol. 68, No. 7, 923-926, 1992.
    doi:10.1103/PhysRevLett.68.923

    2. Torruellas, W. E., Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, "Observation of two-dimensional spatial solitary waves in a quadratic medium," Phys. Rev. Lett., Vol. 74, No. 25, 5036-5039, 1995.
    doi:10.1103/PhysRevLett.74.5036

    3. Tikhonenko, V., J. Christou, and B. Luther-Davies, "Three dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium," Phys. Rev. Lett., Vol. 76, No. 15, 2698-2701, 1996.
    doi:10.1103/PhysRevLett.76.2698

    4. Sturdevant, B., D. A. Lott, and A. Biswas, "Topological solitons in 1+2 dimensions with time-dependent coe±cients," Progress In Electromagnetics Research Letters, Vol. 10, 69-75, 2009.
    doi:10.2528/PIERL09070804

    5. Segev, M., M. Shih, and G. Valley, "Photorefractive screening solitons of high and low intensity," J. Opt. Soc. Am. B, Vol. 13, No. 4, 706-718, 1996.
    doi:10.1364/JOSAB.13.000706

    6. Kivshar, Y., "Dark solitons in nonlinear optics," IEEE J. Quantum Electron., Vol. 29, No. 1, 250-264, 1993.
    doi:10.1109/3.199266

    7. Snyder, A. W., D. J. Mitchell, and Y. Kivshar, "Unification of linear and nonlinear wave optics," Mod. Phys. Lett. B, Vol. 9, No. 23, 1479-1506, 1995.
    doi:10.1142/S0217984995001480

    8. Lan, S., M. Shih, G. Mizell, J. A. Giordmaine, Z. Chen, C. Anastassiou, J. Martin, and M. Segev, "Second-harmonic generation in waveguides induced by photorefractive spatial solitons," Opt. Lett., Vol. 24, No. 16, 1145-1147, 1999.
    doi:10.1364/OL.24.001145

    9. De La Fuente, R. and A. Barthelemy, "Spatial solitons pairing by cross phase modulation," Opt. Commun., Vol. 88, No. 4-6, 419-423, 1992.
    doi:10.1016/0030-4018(92)90067-2

    10. Chen, Z., M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B, Vol. 14, No. 11, 3066-3077, 1997.
    doi:10.1364/JOSAB.14.003066

    11. Medhekar, S., R. K. Sarkar, and P. P. Paltani, "Coupled spatial soliton pairs in saturable nonlinear media," Opt. Lett., Vol. 31, No. 1, 77-79, 2006.
    doi:10.1364/OL.31.000077

    12. Medhekar, S., R. K. Sarkar, and P. P. Paltani, "Soliton pairing of two coaxially co-propagating mutually incoherent 1-D beams in Kerr type media," Optica Applicata, Vol. 37, No. 3, 243-259, 2007.

    13. Scheuer, J. and M. Orenstein, "Interaction and switching of spatial soliton pairs in the vicinity of a nonlinear interface," Opt. Lett., Vol. 24, No. 23, 1735-1737, 1999.
    doi:10.1364/OL.24.001735

    14. Scheuer, J. and M. Orenstein, "All-optical gates facilitated by soliton interactions in a multilayered Kerr medium," J. Opt. Soc. Am. B, Vol. 22, No. 6, 1260-1267, 2005.
    doi:10.1364/JOSAB.22.001260