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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 20, Iss. 13 — Jul. 1, 1981
  • pp: 2291–2298

Bent asymmetric dielectric slab waveguides: a detailed analysis

Yuetsu Takuma, Mitsunobu Miyagi, and Shojiro Kawakami  »View Author Affiliations


Applied Optics, Vol. 20, Issue 13, pp. 2291-2298 (1981)
http://dx.doi.org/10.1364/AO.20.002291


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Abstract

Analytic expressions for the field and propagation constants of the mode along a uniformly curved three-layered slab waveguide are presented in terms of the power series of the curvature. To compare the accuracy of approximate solutions, numerical analysis is carried out. New bending loss formulas are also derived which consider the field deformation and the change of the propagation constant. It is shown that they are very accurate over a wide range of normalized frequency.

© 1981 Optical Society of America

History
Original Manuscript: December 8, 1980
Published: July 1, 1981

Citation
Yuetsu Takuma, Mitsunobu Miyagi, and Shojiro Kawakami, "Bent asymmetric dielectric slab waveguides: a detailed analysis," Appl. Opt. 20, 2291-2298 (1981)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-20-13-2291


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References

  1. E. A. J. Marcatili, Bell Syst. Tech. J. 48, 2103 (1969).
  2. D. Marcuse, Bell Syst. Tech. J. 50, 2551 (1971).
  3. L. Lewin, IEEE Trans. Microwave Theory Tech. MTT-22, 718 (1974). [CrossRef]
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  6. S. Kawakami, M. Miyagi, S. Nishida, Appl. Opt. 14, 2588 (1975);Appl. Opt.15, 1681 (1976). [CrossRef] [PubMed]
  7. Y. Takuma, S. Kawakami, N. Nishida, Trans. IECE Jpn. 60-C, 706 (1976).
  8. M. Miyagi, Appl. Opt. 20, 1221 (1981). [CrossRef] [PubMed]
  9. W. Magnus, F. Oberhettinger, R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, New York, 1966), p. 141.

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