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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 18, Iss. 2 — Feb. 1, 2000
  • pp: 243–

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

Yih-Peng Chiou, Yen-Chung Chiang, and Hung-Chun Chang

Journal of Lightwave Technology, Vol. 18, Issue 2, pp. 243- (2000)


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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.

[IEEE ]

Citation
Yih-Peng Chiou, Yen-Chung Chiang, and Hung-Chun Chang, "Improved Three-Point Formulas Considering the Interface Conditions in the Finite-Difference Analysis of Step-Index Optical Devices," J. Lightwave Technol. 18, 243- (2000)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-18-2-243

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