Simple and Efficient Adaptive Mesh Generation for Approximate Scalar Guided-Mode and Beam-Propagation Solutions

Yasuhide TSUJI  Masanori KOSHIBA  

IEICE TRANSACTIONS on Electronics   Vol.E81-C   No.12   pp.1814-1820
Publication Date: 1998/12/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on Computational Electromagnetics)
finite element method,  beam propagation method,  adaptive mesh generation,  optical waveguide,  

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A simple and efficient adaptive mesh generation for the approximate scalar analysis of optical waveguides is proposed. Two types of local weight estimates which can take into account both a field amplitude and its variation on a problem domain are introduced. One is a difference between linear and quadratic element solutions and the other is a residual for the partial differential equation to be solved. To show the validity and usefulness of the present scheme, the guided-mode analysis of a rib waveguide and the beam propagation analysis of a tilted slab waveguide and a Y-branching rib waveguide are performed.