Premium
Development of a convection–diffusion–reaction model for solving Maxwell's equations in frequency domain
Author(s) -
Sheu Tony W. H.,
Lin K. C.,
Li J. H.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2567
Subject(s) - discretization , stencil , waveguide , finite difference method , mathematical analysis , finite difference , mathematics , maxwell's equations , reaction–diffusion system , convection , convection–diffusion equation , electromagnetic field solver , physics , optics , mechanics , optical field , inhomogeneous electromagnetic wave equation , electromagnetic field , computational science , quantum mechanics
SUMMARY We propose in this study a numerically accurate and computationally efficient convection–diffusion–reaction finite difference scheme to discretize the full‐vector and semi‐vector optical waveguide equations. The scheme formulated in a grid stencil of five nodal points for solving the three‐dimensional waveguide equations employs the locally analytic solution. In this three‐dimensional study, calculations were carried out for the investigation of wave propagation in diffused channel, rectangular and rib types of optical waveguide. Copyright © 2011 John Wiley & Sons, Ltd.