Experimentalists have produced all-optical switches capable of 100 femtosecond responses. Also, there are experimental observations of spatial soliton interactions. To model such effects, nonlinearities in optical materials must be included. The behavior of electromagnetic fields in nonlinear dielectrics can be determined by solving the nonlinear Maxwell's equations. However currently, the standard method for determining the fields is to solve the nonlinear Schrodinger equation (NLSE), which is an approximation that neglects the optical carrier of the pulse. For modeling small scale engineered inhomogeneities in optical devices, on the order of 0.1 to 10 optical cycles, the assumptions in the NLSE become unjustified. In this paper, solutions are presented of calculations of the 2-D vector nonlinear Maxwell's equations for propagating and scattering temporal and spatial solitons in material media having linear and nonlinear instantaneous and Lorentzian dispersive effects in the electric polarization. The optical carrier is retained in these calculations. A finite difference method is used to solve Maxwell's equations and the ordinary differential equations that determine the linear and nonlinear dispersive effects.<>


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Numerical simulations of femtosecond temporal solitons and spatial solitons in nonlinear optics


    Contributors:
    Goorjian, P.M. (author) / Taflove, A. (author) / Joseph, R.M. (author)

    Published in:

    Publication date :

    1993-01-01


    Size :

    137733 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Numerical Simulations of Femtosecond Temporal Solitons and Spatial Solitons in Nonlinear Optics

    IEEE; Lasers and Electro-Optics Society | British Library Conference Proceedings | 1993


    Temporal Analysis of Dark Spatial Photovoltaic Solitons

    Chauvet, M. / Maillotte, H. / Optical Society of America | British Library Conference Proceedings | 2003


    Optical Spatial Solitons

    IEEE | British Library Conference Proceedings | 1999


    Optical spatial solitons

    Segev, M. / Zhigang Chen | IEEE | 1999


    Cavity spatial solitons

    Lugiato, L. A. / Prati, F. / Spinelli, L. et al. | British Library Conference Proceedings | 1998