Reyes J A, Rodríguez R F
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México, Distrito Federal, Mexico.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 1):051701. doi: 10.1103/PhysRevE.65.051701. Epub 2002 Apr 15.
Dissipative effects due to the presence of hydrodynamic flow in a cylindrical fiber whose cladding is an initially quiescent incompressible nematic liquid crystal are analyzed. An analytic and iterative solution of the nematodynamic equations coupled to the Maxwell's equations describing the propagation of a narrow wave packet of transverse magnetic modes is provided. We derive a generalized nonlinear Schröedinger equation for the amplitude of this propagating wave packet that takes into account the dissipation in the nematic's reorientation and the hydrodynamical effects. For the solitonlike solution of this equation we find that the penetration length and the real part of the nonlinear refraction index increase by a factor of 1.75, with respect to those values obtained in the absence of hydrodynamical flow. The imaginary part remains unaltered.
分析了在包层为初始静止的不可压缩向列型液晶的圆柱形光纤中，由于存在流体动力流而产生的耗散效应。提供了与描述横向磁模窄波包传播的麦克斯韦方程组耦合的线虫动力学方程的解析和迭代解。我们推导了一个广义非线性薛定谔方程，用于描述该传播波包的振幅，该方程考虑了向列体重定向中的耗散和流体动力学效应。对于该方程的类孤子解，我们发现穿透长度和非线性折射率的实部相对于在没有流体动力流的情况下获得的值增加了1.75倍。虚部保持不变。
