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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 3 — Feb. 2, 2009
  • pp: 1583–1599

Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides

Michael L. Cooper and Shayan Mookherjea  »View Author Affiliations


Optics Express, Vol. 17, Issue 3, pp. 1583-1599 (2009)
http://dx.doi.org/10.1364/OE.17.001583


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Abstract

We investigate coupled-mode theory in designing high index contrast silicon-on-insulator waveguide couplers and arrayed waveguides. We develop and demonstrate a method of solution to the inverse problem of reconstructing the coupling matrix from the modal profiles obtained, in this case, from finite-difference frequency-domain field calculations. We show that whereas supermode theory provides a good approximation of the mode profiles, next-to-nearest-neighbor coupling becomes significant at small separation distances between arrayed waveguides. These distances are quantified for three different silicon-on-insulator material platforms. We also point out the phenomenon of field skewing and deformation at small separations.

© 2009 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.7380) Optical devices : Waveguides, channeled
(230.4555) Optical devices : Coupled resonators

ToC Category:
Integrated Optics

History
Original Manuscript: October 8, 2008
Revised Manuscript: January 14, 2009
Manuscript Accepted: January 22, 2009
Published: January 27, 2009

Citation
Michael L. Cooper and Shayan Mookherjea, "Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides," Opt. Express 17, 1583-1599 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-3-1583


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