The role of evanescent modes in randomly perturbed single-mode waveguides | Zendy

Josselin Garnier | Zendy

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The role of evanescent modes in randomly perturbed single-mode waveguides

Author(s) -

Josselin Garnier

Publication year - 2007

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2007.8.455

Subject(s) - pulse (music) , dispersion (optics) , coupling (piping) , attenuation , physics , diffusion , mode (computer interface) , front (military) , mode coupling , optics , energy (signal processing) , quantum electrodynamics , mathematical analysis , mathematics , quantum mechanics , materials science , detector , meteorology , computer science , metallurgy , operating system

Pulse propagation in randomly perturbed single-mode waveguides is considered. By an asymptotic analysis the pulse front propagation is reduced to an effective equation with diffusion and dispersion. Apart from a random time shift due to a random total travel time, two main phenomena can be distinguished. First, coupling and energy conversion between forward- and backward-propagating modes is responsible for an effective diffusion of the pulse front. This attenuation and spreading is somewhat similar to the one-dimensional case addressed by the O'Doherty-Anstey theory. Second, coupling between the forward-propagating mode and the evanescent modes results in an effective dispersion. In the case of small-scale random fluctuations we show that the second mechanism is dominant.

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