Bird David
Opt Express. 2018 Nov 26;26(24):31454-31463. doi: 10.1364/OE.26.031454.
Motivated by the recent development of hollow-core, microstructured optical fibres without a translationally-periodic cladding structure, an analysis of the symmetry-induced properties of the modes of a uniform fibre with CM point group symmetry is presented. Modes are classified according to the irreducible representations of the longitudinal components of the electric and magnetic fields; the radial component of the electric field and azimuthal component of the magnetic field share the symmetry of the longitudinal component of the electric field, while the radial component of the magnetic field and the azimuthal component of the electric field have the same symmetry as the longitudinal magnetic field. The symmetry class of the lowest order modes in fibres with point group CM with M from 1 to 10 is given. The work is closely related to previous analyses, but clarifies the symmetry relationship between the two orthogonal modes in a degenerate pair and how the different symmetries of the longitudinal electric and magnetic field components emerge from the governing equations.
受近期无平移周期包层结构的空心微结构光纤发展的推动，本文对具有CM点群对称性的均匀光纤模式的对称性诱导特性进行了分析。模式根据电场和磁场纵向分量的不可约表示进行分类；电场的径向分量和磁场的方位角分量与电场纵向分量具有相同的对称性，而磁场的径向分量和电场的方位角分量与纵向磁场具有相同的对称性。给出了M取值从1到10的具有点群CM的光纤中最低阶模式的对称类。这项工作与之前的分析密切相关，但阐明了简并对中两个正交模式之间的对称关系，以及纵向电场和磁场分量的不同对称性是如何从控制方程中产生的。
