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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 15 — May. 20, 2001
  • pp: 2493–2495

Technique for calculation of the propagation constant in an optical planar waveguide with a Gaussian profile

Shogo Kozaki, Makoto Ohki, Takayoshi Sasaki, Haruo Sakurai, and Kuniyuki Motojima  »View Author Affiliations


Applied Optics, Vol. 40, Issue 15, pp. 2493-2495 (2001)
http://dx.doi.org/10.1364/AO.40.002493


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Abstract

We performed analysis of a planar waveguide with arbitrary index variations. We obtained numerical results for the propagation coefficient by using first-order Langer and Liouville transformations. The accuracy of the numerical results is confirmed by a comparison with those obtained by other methods.

© 2001 Optical Society of America

OCIS Codes
(230.0230) Optical devices : Optical devices
(230.7370) Optical devices : Waveguides
(230.7390) Optical devices : Waveguides, planar
(260.2030) Physical optics : Dispersion

History
Original Manuscript: June 26, 2000
Revised Manuscript: November 15, 2000
Published: May 20, 2001

Citation
Shogo Kozaki, Makoto Ohki, Takayoshi Sasaki, Haruo Sakurai, and Kuniyuki Motojima, "Technique for calculation of the propagation constant in an optical planar waveguide with a Gaussian profile," Appl. Opt. 40, 2493-2495 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-15-2493


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References

  1. Z. Nikolov, B. Pantchew, “Application of wave theory for two types of planar-diffused optical waveguide profiles,” IEEE J. Quantum Electron. 28, 658–662 (1992). [CrossRef]
  2. H. Ikuno, A. Yata, “Uniform asymptotic technique for analyzing wave propagation in inhomogeneous slab waveguides,” IEEE Trans. Microwave Theory Tech. 30, 1958–1963 (1982). [CrossRef]
  3. I. C. Goyal, R. L. Gallawa, A. K. Ghatak, “An approximate solution to the wave equation revisited,” J. Electromagn. Waves Appl. 5, 623–636 (1991). [CrossRef]
  4. H. Moriguchi, “An improvement of the WKB method in the presence of turning points and the asymptotic solutions of a class of Hill equations,” J. Phys. Soc. Jpn. 14, 1771–1796 (1959). [CrossRef]

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