Finite element analysis of 2-D dielectric waveguides with Helmholtz vector equations and virtual exterior elements

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journalNot applicable

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Original languageEnglish
Pages (from-to)281-286
Journal / PublicationMaterials Research Society Symposium - Proceedings
Publication statusPublished - 2000
Externally publishedYes


TitleOptical Properties of Materials
PlaceUnited States
CityBoston, MA
Period30 November - 2 December 1999


This paper reports a finite-element-method formulation, which is based on the Helmholtz vector equations in terms of transverse electrical field components to characterize two-dimensional dielectric waveguides with an arbitrary continuous permittivity profile. A virtual exterior element iteration technique is associated with the finite-element analysis to process the remote boundary condition. This technique achieves both excellent computational efficiency and accuracy when studying the dielectric propagation constants and cutoff frequencies. The spurious-infection-free modal electrical field can be obtained directly. Numerical results of circular optical fibers with the parabolic permitivity profile are presented to show the validity of this technique.