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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 9 — Sep. 1, 1999
  • pp: 2209–2212

Exact analytical method for planar optical waveguides with arbitrary index profile

Zhuangqi Cao, Yi Jiang, Qishun Shen, Xiaoming Dou, and Yingli Chen  »View Author Affiliations


JOSA A, Vol. 16, Issue 9, pp. 2209-2212 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002209


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Abstract

We present a novel matrix method that allows the straightforward determination of exact propagation constants as well as the field configuration in the region that is beyond the turning point at the substrate side for arbitrarily graded-index planar waveguides.

© 1999 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.7390) Optical devices : Waveguides, planar
(260.2030) Physical optics : Dispersion
(290.3030) Scattering : Index measurements
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: November 24, 1998
Revised Manuscript: April 15, 1999
Manuscript Accepted: April 15, 1999
Published: September 1, 1999

Citation
Zhuangqi Cao, Yi Jiang, Qishun Shen, Xiaoming Dou, and Yingli Chen, "Exact analytical method for planar optical waveguides with arbitrary index profile," J. Opt. Soc. Am. A 16, 2209-2212 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-9-2209


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References

  1. A. Gedeon, “Comparison between rigorous theory and WKB analysis of modes in graded index waveguides,” Opt. Commun. 12, 329–332 (1974). [CrossRef]
  2. A. K. Ghatak, K. Thyagarajan, M. R. Shenoy, “Numerical analysis of planar optical waveguides using matrix approach,” J. Lightwave Technol. 5, 660–667 (1987). [CrossRef]
  3. R. Srivastava, C. K. Kao, R. V. Rmaswamy, “WKB analysis of planar surface waveguides with truncated index profiles,” J. Lightwave Technol. 5, 1605–1609 (1987). [CrossRef]
  4. I. C. Goyal, R. L. Gallawa, A. K. Ghatak, “Methods of analyzing planar optical waveguides,” Opt. Lett. 16, 30–32 (1991). [CrossRef] [PubMed]
  5. I. C. Goyal, R. Jindal, A. K. Ghatak, “Planar optical waveguides with arbitrary index profile: an accurate method of analysis,” J. Lightwave Technol. 15, 2179–2182 (1997). [CrossRef]
  6. L. Zhan, Z. Cao, “Exact dispersion equation of a graded refractive-index optical waveguide based on the equivalent attenuated vector,” J. Opt. Soc. Am. A 15, 713–716 (1998). [CrossRef]

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