Self-similar pulse shape mode for femtosecond pulse propagation in optical fiber with multi-photon absorption and nonlinear refraction

We investigate the self-similar mode of laser pulse propagation in the medium with both nonlinear absorption (twophoton or multi-photon) and cubic nonlinear response (both self-focusing and de-focusing). This mode of laser pulse propagation takes place along certain distance. We showed that the self-similar shape of pulse is like optical soliton, propagating in a medium with cubic nonlinearity. However, the duration of this pulse is less in comparison with the soliton duration for Kerr medium under the corresponding conditions. We used as analytical approach for considered problem as well as computer simulation.

[1]  Vassilios Yannopapas,et al.  Anderson localization of light in inverted opals , 2003 .

[2]  U. Al Khawaja,et al.  Integrability of a general Gross-Pitaevskii equation and exact solitonic solutions of a Bose-Einstein condensate in a periodic potential , 2009 .

[3]  Vyacheslav A. Trofimov,et al.  Mode of propagation of optical radiation with self-similar pulse shape in layered medium with nonlinear absorption , 2011, NanoScience + Engineering.

[4]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[5]  Vyacheslav A. Trofimov,et al.  Influence of transverse perturbation of soliton propagation direction on laser radiation evolution along the layered medium , 2010, Photonics Europe.

[6]  Vyacheslav A. Trofimov,et al.  Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity , 2008 .

[7]  Boris A. Malomed,et al.  Soliton Management in Periodic Systems , 2006 .

[8]  Vyacheslav A. Trofimov,et al.  Numerical method for finding 3D solitons of the nonlinear Schrödinger equation in the axially symmetric case , 2009 .

[9]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[10]  E. M. de Jager,et al.  Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations , 1986 .

[11]  Vyacheslav A. Trofimov,et al.  Numerical method for 2d soliton solution at SHG in media with time‐dependent combined nonlinearity , 2008 .

[12]  S. A. Akhmanov,et al.  Optics of Femtosecond Laser Pulses , 1991 .

[13]  Adrian Ankiewicz,et al.  Solitons : nonlinear pulses and beams , 1997 .

[14]  Yaochun Shen.  Principles of nonlinear optics , 1984 .

[15]  Y. Gaididei,et al.  Self-guiding light in layered nonlinear media. , 2000, Optics letters.

[16]  Akira Hasegawa,et al.  Nonautonomous solitons in external potentials. , 2007, Physical review letters.

[17]  Boris A. Malomed,et al.  Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity , 2002 .

[18]  Anatolii P. Sukhorukov.  Nonlinear wave interactions in optics and radio physics , 1988 .

[19]  B A Malomed,et al.  Mismatch management for optical and matter-wave quadratic solitons. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  A. Hasegawa,et al.  Exactly integrable nonlinear Schrodinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion , 2002 .

[21]  B. A. Malomed,et al.  Multidimensional solitons in periodic potentials , 2003 .

[22]  Vyacheslav A. Trofimov,et al.  A numerical method for calculating solitons of the nonlinear Schödinger equation in the axially symmetric case , 2009 .

[23]  Vyacheslav A. Trofimov,et al.  Parameter control of optical soliton in one‐dimensional photonic crystal , 2010 .

[24]  Vyacheslav A. Trofimov,et al.  The evolution of two-frequency solitons in an optical fiber with a longitudinally nonuniform nonlinearity , 2009 .

[25]  Philip Holmes,et al.  Strong NLS Soliton-Defect Interactions , 2002, nlin/0203057.