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IEEE Journal of Lightwave Technology
Volume 18 Number 2, February 2000

Improved Three-Point Formulas Considering the Interface Conditions in the Finite-Difference Analysis of Step-Index Optical Devices

Page 243.

Abstract:

A general relation, considering the interface conditions, between a sampled point and its nearby points is derived. Making use of the derived relation and the generalized Douglas scheme, the three-point formulas in the finite-difference modeling of step-index optical devices are extended to fourth order accuracy irrespective of the existence of the step-index interfaces. With numerical analysis and numerical assessment, several frequently used formulas are investigated.

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