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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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  1. E. M. Conwell, “Modes in optical waveguides formed by diffusion,” Appl. Phys. Lett. 23, 328–329 (1973). [CrossRef]
  2. A. K. Ghatak, L. A. Kraus, L. A. Kraus, “Propagation of waves in a medium varying transverse to the direction of propagation,” IEEE J. Quantum Electron. QE-10, 456–457 (1974).
  3. M. J. Adams, “The cladded parabolic index profile waveguides analysis and application to strip-geometry lasers,” Opt. Quantum Electron. 10, 17–29 (1978). [CrossRef]
  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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