Self-focusing Dynamics of Lorentz-Gaussian Beams in Kerr Media
H-P. Zheng, R-P. Chen and C.H.R. Ooi
To study the characteristic response of a silicon p-i-n The nonlinear dynamical property of Lorentz-Gaussian beams in Kerr media is investigated analytically and numerically by using the nonlinear Schrödinger (NLS) equation. The evolution of a Lorentz-Gaussian beam width in the root-mean-square (RMS) sense is analytically obtained. The beam propagation factors and the critical powers of the Lorentz-Gaussian beams are demonstrated. Numerical simulations described in more detail for the nonlinear dynamics of Lorentz-Gaussian beams in the Kerr media.
Keywords: Lorentz-Gaussian beam, Kerr effect, nonlinear Schrödinger (NLS) equation, nonlinear optics, moments method, partial collapse