The mapped Galerkin method based on the transverse electric fields (<i>E</i> formulation) for vectorial analysis of optical waveguides is described. The vector wave equation is solved by using nonlinear mapping of the <i>x-y</i> plane and subsequent Fourier decomposition. The modal propagation constants and field distributions for rectangular waveguides and optical rib waveguides are presented. The calculated results accord well with those published earlier, which proves the accuracy and validity of the mapped Galerkin method.
© 2004 Optical Society of America
(130.2790) Integrated optics : Guided waves
(160.3130) Materials : Integrated optics materials
(230.7380) Optical devices : Waveguides, channeled
(260.2110) Physical optics : Electromagnetic optics
Jinbiao Xiao, Xiaohan Sun, and Mingde Zhang, "Vectorial analysis of optical waveguides by the mapped Galerkin method based on E fields," J. Opt. Soc. Am. B 21, 798-805 (2004)