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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2919–2931

Composition methods for four-port couplers in photonic integrated circuitry

Tiberiu Constantinescu, Viswanath Ramakrishna, Nicholas Spears, L. Roberts Hunt, Jian Tong, Issa Panahi, Govind Kannan, Duncan L. MacFarlane, Gary Evans, and Marc P. Christensen  »View Author Affiliations


JOSA A, Vol. 23, Issue 11, pp. 2919-2931 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002919


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Abstract

Planar photonic integrated circuits based on four-port couplers offer enhanced sophistication and functionality. Each four-port coupler is characterized by sixteen signal coupling coefficients governed by ten energy constraints. The ability to generate the constrained sixteen coupling coefficients is needed in the analysis of the four-port coupler. However, the energy constraint equations are nonlinear and cumbersome to solve directly. We introduce two techniques to reduce these signal coupling coefficients to a set of six free parameters. Hence we can characterize all possible couplers in terms of their sixteen constrained coupling coefficients, or either of two sets of six free parameters. This reduction in parameters has significant ramifications for the design, specification, and empirical characterization of these useful building blocks.

© 2006 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(130.1750) Integrated optics : Components
(130.6750) Integrated optics : Systems
(230.1360) Optical devices : Beam splitters
(230.3120) Optical devices : Integrated optics devices
(230.3990) Optical devices : Micro-optical devices

ToC Category:
Integrated Optics

History
Original Manuscript: February 9, 2006
Revised Manuscript: May 19, 2006
Manuscript Accepted: May 23, 2006

Citation
Tiberiu Constantinescu, Viswanath Ramakrishna, Nicholas Spears, L. Roberts Hunt, Jian Tong, Issa Panahi, Govind Kannan, Duncan L. MacFarlane, Gary Evans, and Marc P. Christensen, "Composition methods for four-port couplers in photonic integrated circuitry," J. Opt. Soc. Am. A 23, 2919-2931 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-11-2919

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