Physical Review E
We derive the amplitude equation, in the weakly nonlinear regime, for an optical wave packet that propagates in an initially undistorted nematic liquid crystal. By using the dyad representation Q(ij), we find the retarded and nonlocal equation for the nematic configuration and solve it in Fourier space. This allows us to calculate the amplitude dependent dispersion relation for a nematic liquid crystal in a given initial undistorted stationary state. We consider a linearly polarized wave packet that travels along the principal axis of the nematic dielectric tensor. We find a nonlinear Schrodinger equation for the amplitude, which includes an additional quadratic term with dissipation. [S1063-651X(98)09310-6].
Palffy-Muhoray, Peter and Reyes, J. A. (1998). Nonlinear Schrodinger Equation in Nematic Liquid Crystals. Physical Review E 58(5), 5855-5859. doi: 10.1103/PhysRevE.58.5855 Retrieved from http://digitalcommons.kent.edu/cpippubs/235