Open AccessReflection symmetry and mode transversality in microstructured fibers
Author(s) -
M. J. Steel
Publication year - 2004
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.001497
Subject(s) - reflection symmetry , optics , symmetry (geometry) , transverse plane , rotational symmetry , hamiltonian (control theory) , axial symmetry , physics , reflection (computer programming) , degenerate energy levels , optical fiber , symmetry in biology , materials science , condensed matter physics , geometry , quantum mechanics , mechanics , mathematics , mathematical optimization , mathematical analysis , structural engineering , computer science , engineering , programming language
We investigate the influence of reflection symmetry on the properties of the modes of microstructured optical fibers. It is found that structures with reflection symmetry tend to support non-degenerate modes which are closer in nature to the analogous TE and TM modes of circular step-index fibers, as compared with fibers with only rotational symmetry. Reflection symmetry induces modes to exhibit smaller longitudinal components and transverse fields which are more strongly reminiscent of the radial and azimuthal modes of circular fibers. The tendency towards "transversality" can be viewed as a result of the interaction of group theoretical restrictions on the mode profiles and minimization of the Maxwell Hamiltonian.