On the attenuation coefficient of monomode periodic waveguides

Abstract

It is widely accepted that, on ensemble average, the transmission T of guided modes decays exponentially with the waveguide length L due to small imperfections, leading to the important figure of merit defined as the attenuation-rate coefficient alpha = -<ln(T)>/L. In this letter, we evidence that the exponential-damping law is not valid in general for periodic monomode waveguides, especially as the group velocity decreases. This result that contradicts common beliefs and experimental practices aiming at measuring alpha is supported by a theoretical study of light transport in the limit of very small imperfections, and by numerical results obtained for two waveguide geometries that offer contrasted damping behaviours.

References in corpus (2)

• Disorder-induced coherent scattering in slow-light photonic crystal waveguides
• Controlling Anderson localization in disordered photonic crystal waveguides

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• Theoretical treatment of the interaction between two-level atoms and periodic waveguides
• Contribution of evanescent waves to the effective medium of disordered waveguides