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Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices

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3 Author(s)
Yih-Peng Chiou ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Yen-Chung Chiang ; Chang, Hung-Chun

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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Lightwave Technology, Journal of  (Volume:18 ,  Issue: 2 )