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Backscattering in monomode periodic waveguides

Bing Wang 1 Simon Mazoyer 1 Jean-Paul Hugonin 1 Philippe Lalanne 1
1 Laboratoire Charles Fabry de l'Institut d'Optique / Naphel
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
Abstract : The transport properties of photonic periodic (monomode) waveguides in the presence of realistic fabrication errors are analyzed. They are governed by out-of-plane loss and backscattering. We derive a closed-form expression for the mean-free path that characterizes the transition between the ballistic and localization transport regimes in these waveguides. In agreement with earlier works, the mean-free path is found to be dominantly affected by backscattering for small group velocities. The predictions are quantitatively supported by fully vectorial computational results obtained for two-dimensional periodic waveguides. Three-dimensional (3D) structures, such as single-row-defect photonic-crystal waveguides, have also been analyzed and are shown to provide moderate backscattering in comparison to other 3D waveguides. But in all test cases, we find that the mean-free path is critically small, even for moderately small group velocities of c/50 and for up-to-date fabrication nanofacilities.
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Bing Wang, Simon Mazoyer, Jean-Paul Hugonin, Philippe Lalanne. Backscattering in monomode periodic waveguides. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2008, 78 (24), pp.245108. ⟨10.1103/PhysRevB.78.245108⟩. ⟨hal-00566657⟩

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