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New technique for finite difference analysis of optical waveguide problems
Author(s) -
Matin M. A.,
Benson T. M.,
Kendall P. C.,
Stern M. S.
Publication year - 1994
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660070104
Subject(s) - waveguide , finite difference , scalar field , finite difference method , scalar (mathematics) , optics , polarization (electrochemistry) , benchmark (surveying) , physics , mathematics , mathematical analysis , quantum mechanics , geometry , chemistry , geodesy , geography
Abstract The method of effective penetration depth is used to produce a novel scalar or polarized finite difference approach for the solution of optical rib waveguide field problems. The new method is quicker than previous finite difference approaches and requires less computer memory. Propagation constant values are presented for a range of semiconductor rib waveguides and are found to be indistinguishable from benchmark results produced using earlier methods of analysis. A simple polarization correction formula recently derived is confirmed by utilizing the good accuracy of these results. This enables discussion of the relationship between quasi‐TE, quasi‐TM and scalar modes, and a further substantial reduction of the cpu time.