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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 33 — Nov. 20, 2007
  • pp: 8052–8060

Transfer matrix analysis of the unidirectional grating-assisted codirectional coupler

Brian R. West and David V. Plant  »View Author Affiliations


Applied Optics, Vol. 46, Issue 33, pp. 8052-8060 (2007)
http://dx.doi.org/10.1364/AO.46.008052


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Abstract

The unidirectional grating-assisted codirectional coupler (U-GACC) has recently been proposed. This unique structure permits irreversible coupling between orthogonal waveguide eigenmodes by means of simultaneous modulation of both the real and imaginary parts of the refractive index in the coupling region. Analysis of the U-GACC has until now relied on coupled mode theory, which can be restrictive in its application as a design tool. We analyze the U-GACC by the transfer matrix method, which demonstrates in a simple fashion why the device operates in a unidirectional manner. In addition, we show that for all practical designs, there is a limit to the minimum cross talk between outputs, a phenomenon that has not been previously identified.

© 2007 Optical Society of America

OCIS Codes
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
(130.3120) Integrated optics : Integrated optics devices
(250.4480) Optoelectronics : Optical amplifiers

ToC Category:
Integrated Optics

History
Original Manuscript: August 15, 2007
Revised Manuscript: September 26, 2007
Manuscript Accepted: October 15, 2007
Published: November 19, 2007

Citation
Brian R. West and David V. Plant, "Transfer matrix analysis of the unidirectional grating-assisted codirectional coupler," Appl. Opt. 46, 8052-8060 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-33-8052


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References

  1. D. Marcuse, "Directional couplers made of nonidentical asymmetrical slabs. Part II: grating-assisted couplers," J. Lightwave Technol. LT-5, 268-273 (1987). [CrossRef]
  2. A. Yariv and M. Nakamura, "Periodic structures for integrated optics," IEEE J. Quantum Electron. QE-13, 233-253 (1977). [CrossRef]
  3. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1991).
  4. M. Greenberg and M. Orenstein, "Irreversible coupling by use of dissipative optics," Opt. Lett. 29, 451-453 (2004). [CrossRef] [PubMed]
  5. T. Galstian, "Non-reciprocal optical element for photonic devices," U.S. patent 6,611,644 B2 (23 August 2003).
  6. M. Greenberg and M. Orenstein, "Filterless 'add' multiplexer based on novel complex gratings assisted coupler," IEEE Photon. Technol. Lett. 17, 1450-1452 (2005). [CrossRef]
  7. M. Greenberg, "Unidirectional mode devices based on irreversible mode coupling," M.Sc. thesis (Israel Institute of Technology, 2004).
  8. M. Kulishov, J. M. Laniel, N. Belanger, and D. V. Plant, "Trapping light in a ring resonator using a grating-assisted coupler with asymmetric transmission," Opt. Express 13, 3567-3578 (2005). [CrossRef] [PubMed]
  9. L. Poladian, "Resonance mode expansions and exact solutions for nonuniform gratings," Phys. Rev. E 54, 2963-2975 (1996). [CrossRef]
  10. M. Kulishov, J. M. Laniel, N. Belanger, J. Azana, and D. V. Plant, "Nonreciprocal waveguide Bragg gratings," Opt. Express 13, 3068-3078 (2005). [CrossRef] [PubMed]
  11. M. Greenberg and M. Orenstein, "Optical unidirectional devices by complex spatial single sideband perturbation," IEEE J. Quantum Electron. 41, 1013-1023 (2005). [CrossRef]
  12. W. Huang and J. Hong, "A transfer matrix approach based on local normal modes for coupled waveguides with periodic perturbations," J. Lightwave Technol. 10, 1367-1375 (1992). [CrossRef]
  13. W. K. Burns and A. F. Milton, "Mode conversion in planar-dielectric separating waveguides," IEEE J. Quantum Electron. QE-11, 32-39 (1975). [CrossRef]
  14. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 6th ed. (Pergamon, 1980). [PubMed]
  15. M. S. Stern, "Semivectorial polarised finite difference method for optical waveguides with arbitrary index profiles," IEE Proc.-J.: Optoelectron. 135, 56-63 (1988). [CrossRef]
  16. C. M. Kim and R. V. Ramaswamy, "Modeling of graded-index channel waveguides using nonuniform finite difference method," J. Lightwave Technol. 7, 1581-1589 (1989). [CrossRef]
  17. Optiwave Systems, Inc., OptiBPM v. 8.1, http://www.optiwave.com.

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