Soliton Propagation in Two-Photon Resonant Region

Abstract

The stability of soliton propagation in nonresonant region has been studied extensively. The temporal and spatial evolution of pulses in such region can be analyzed with the nonlinear Schrödinger equation (NSE). The effects of the third-order dispersion term can be analyzed in the frame of NSE, however the dispersion of nonlinearity is usually ignored except for some extreme cases such as shock term.1) When we consider the propagation of ultrashort pulse or the propagation in resonant region, the effects of nonlinear dispersion reveal themselves remarkably. Nevertheless, the dispersion of nonlinearity have not been fully explored. In this paper, we examine the pulse propagation characteristics with dispersive nonlinearity using nonlinear wave equation in frequency domain. We show that, when pulses propagate at the two-photon resonant region, the effects of the third-order dispersion is compensated by the dispersive nonlinearity and solitonlike propagation of femtosecond pulses can be achieved.