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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. 22, Iss. 9 — Sep. 1, 2005
  • pp: 1968–1975

Quasi-analytic formalism for mode characteristics in highly overmoded rectangular dielectric waveguide bends

Daniel Lenz, Daniel Erni, and Werner Bächtold  »View Author Affiliations


JOSA A, Vol. 22, Issue 9, pp. 1968-1975 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001968


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Abstract

A fast and simple quasi-analytic method to simulate mode characteristics in highly overmoded rectangular dielectric waveguide bends is presented. Fast mode-based bend models are necessary, since overmoded rectangular waveguides have become very popular in optical interconnects on printed circuit boards. The proposed method combines a simple mode solver with the formalism that was proposed by Melloni et al. [J. Lightwave Technol. 16, 571 (2001) ], yielding to a very convenient and accurate quasi-analytic formalism for the bend transfer function based on matrix notation. For that purpose, a simple method to approximate leaky modes is introduced. The model offers the ability to predict individual modal phases and amplitudes within a given bend as well as the calculation of coupling losses and was validated using three-dimensional beam-propagation-method simulation software.

© 2005 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.4510) Fiber optics and optical communications : Optical communications
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.7370) Optical devices : Waveguides

History
Original Manuscript: December 22, 2004
Manuscript Accepted: March 1, 2005
Published: September 1, 2005

Citation
Daniel Lenz, Daniel Erni, and Werner Bächtold, "Quasi-analytic formalism for mode characteristics in highly overmoded rectangular dielectric waveguide bends," J. Opt. Soc. Am. A 22, 1968-1975 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-9-1968

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