A stochastic theoretical analysis of electromagnetic wave propagation inside a planar slab waveguide filled with a cholesteric material, whose azimuthal angular component on its director n is randomly fluctuating is presented in this article. By means of van Kampen systematic expansion method, Maxwell's electromagnetic equations with random dielectric tensor and appropriate boundary conditions are obtained. As numerical examples, the effects of the randomness on the propagating constant, on the ratio between magnetic and electric modes, on the field profiles, and on the energy flow are presented and discussed. The results in this paper are consistent with those corresponding to the deterministic conventional waveguide.

本文介绍了在填充有胆甾型材料的平面板条波导内电磁波传播的随机理论分析，该材料在其指向矢 n 上的方位角分量随机波动。通过van Kampen系统展开法，得到了具有随机介电张量和适当边界条件的麦克斯韦电磁方程。作为数值例子，介绍和讨论了随机性对传播常数、磁模式和电模式之间的比率、场分布和能量流的影响。本文的结果与确定性常规波导对应的结果一致。