Full-vectorial to scalar FD-SOR formulations for optical waveguide modelling: a comparative study

Abstract

SUMMARYThis paper presents a comparative study among three different formulations to analyse optical waveguides. All treatments, namely, full-vectorial, semi-vectorial, and scalar are based on the successive over relaxation-SOR technique. A complete expansion of these three formulations together with a convergence study of the respective iterative relaxation parameters are also provided. Several waveguiding structures are investigated in this work, including D-shaped fibres, rib waveguides, and photonic crystal fibres, addressing the accuracy of the several FD-SOR formulations implemented. It is demonstrated that the semi-vectorial approach produces excellent results when compared to those obtained with the full-vectorial treatment.

Novel microstructured optical fiber design for broadband dispersion compensation

“…In this work the D-MOFs have been simulated with an Hfield finite difference based semi-vectorial successive over relaxation method (FD-SOR) [14]. The modal analysis is carried out in terms of horizontal (H x ) and vertical (H y ) polarizations.…”