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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. 15, Iss. 3 — Mar. 1, 1998
  • pp: 713–716

Exact dispersion equation of a graded refractive-index optical waveguide based on the equivalent attenuated vector

Li Zhan and Zhuangqi Cao  »View Author Affiliations


JOSA A, Vol. 15, Issue 3, pp. 713-716 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000713


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Abstract

On the basis of the transfer-matrix technique, the concept of the equivalent attenuated vector is proposed and used to analyze the characteristics of the propagating modes in planar optical waveguides with graded refractive-index profile; an exact analytic equation is obtained for the dispersion equation of arbitrary graded refractive-index planar optical waveguides.

© 1998 Optical Society of America

OCIS Codes
(230.7370) Optical devices : Waveguides
(230.7390) Optical devices : Waveguides, planar
(260.2030) Physical optics : Dispersion

History
Original Manuscript: December 13, 1996
Revised Manuscript: July 7, 1997
Manuscript Accepted: October 10, 1997
Published: March 1, 1998

Citation
Li Zhan and Zhuangqi 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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-3-713


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References

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  4. C. Zhuangqi, “Dispersion equation of inhomogeneous planar optical waveguide,” Act. Opt. Sin. 14, 12 (1994).
  5. I. C. Joyal, R. L. Gallaya, A. K. Ghatak, “Methods of analyzing planar optical waveguides,” Opt. Commun. 16, 30–32 (1991).
  6. A. Gedeon, “Comparison between rigorous theory and WKB-analysis of modes in graded index waveguides,” Opt. Commun. 12, 329–332 (1974). [CrossRef]
  7. K. Mishra, A. Sharma, “Analysis of single mode inhomogeneous planar waveguides,” J. Lightwave Technol. LT-4, 201–204 (1986).
  8. S. K. Korotky, W. J. Minford, L. L. Buhl, M. D. Divino, R. C. Alferness, “Mode size and method for estimating the propagation constant of single-mode Ti:LiNbO3 strip waveguides,” IEEE J. Quantum Electron. QE-18, 1796–1801 (1982). [CrossRef]

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