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Transfer matrix analysis of the unidirectional grating-assisted codirectional coupler.

Brian R West1, David V Plant

  • 1Department of Electrical and Computer Engineering, Photonic Systems Group, McGill University, Montreal, Quebec H3A 2A7, Canada. Brian.West@mail.mcgill.ca

Applied Optics
|November 21, 2007
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Summary

This study introduces a new analysis for unidirectional grating-assisted codirectional couplers (U-GACC). The transfer matrix method reveals the device

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Area of Science:

  • Photonics
  • Optical Engineering
  • Waveguide Devices

Background:

  • Unidirectional grating-assisted codirectional couplers (U-GACC) enable irreversible coupling of orthogonal waveguide eigenmodes.
  • Current analysis relies on coupled mode theory, limiting its design utility.

Purpose of the Study:

  • To analyze the U-GACC using the transfer matrix method (TMM).
  • To elucidate the operational principles of U-GACC unidirectionality.
  • To identify previously unrecognized design limitations.

Main Methods:

  • Analysis of U-GACC using the transfer matrix method.
  • Simultaneous modulation of real and imaginary parts of the refractive index in the coupling region.

Main Results:

  • The transfer matrix method provides a clear explanation for U-GACC unidirectional operation.
  • A fundamental limit to minimum crosstalk between outputs is identified for practical designs.
  • This crosstalk limit is a novel finding for U-GACC devices.

Conclusions:

  • The transfer matrix method is a more accessible design tool for U-GACC compared to coupled mode theory.
  • Understanding the minimum crosstalk limit is crucial for optimizing U-GACC performance.
  • This research advances the design and application of unidirectional optical couplers.