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Wilfrid Laurier University Leaf
December 3, 2016
Canadian Excellence


Brian West

Transfer matrix analysis of the unidirectional grating-assisted codirectional coupler

Brian R. West and David V. Plant

published: 2007 | Research publication | McGill

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.

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revised Dec 15/08

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