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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. 9, Iss. 8 — Aug. 1, 1992
  • pp: 1289–1300

Fourier analysis and synthesis of adiabatic tapers in integrated optics

G. Hugh Song and W. J. Tomlinson  »View Author Affiliations


JOSA A, Vol. 9, Issue 8, pp. 1289-1300 (1992)
http://dx.doi.org/10.1364/JOSAA.9.001289


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Abstract

Tapered optical waveguides are of increasing importance for use as mode-size transformers in integrated optics. We present a new Fourier integral interpretation of the first-order coupled-local-mode theory of the modeconversion loss in adiabatically tapered waveguides that provides a new degree of perspective on taper behavior. On the basis of this interpretation, we introduce a technique for synthesizing tapers with desired length-versusloss characteristics. Since this technique involves a Fourier integral, we are able to take advantage of the existing substantial body of literature on filter design. We demonstrate this new technique by analyzing and synthesizing two examples of taper structures, a tapered directional coupler and a mode-size controller, and introduce a class of (near-) optimal tapers from this synthetic approach. We also prove the adiabaticity theorem in tapered waveguides, starting from Maxwell’s equations, on which our first-order perturbation approach is premised.

© 1992 Optical Society of America

History
Original Manuscript: September 17, 1991
Revised Manuscript: January 6, 1992
Manuscript Accepted: February 10, 1992
Published: August 1, 1992

Citation
G. Hugh Song and W. J. Tomlinson, "Fourier analysis and synthesis of adiabatic tapers in integrated optics," J. Opt. Soc. Am. A 9, 1289-1300 (1992)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-9-8-1289


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References

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