Contents Online
Communications in Mathematical Sciences
Volume 18 (2020)
Number 4
Intensity fluctuations in random waveguides
Pages: 947 – 971
DOI: https://dx.doi.org/10.4310/CMS.2020.v18.n4.a3
Author
Abstract
An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main result consists in a quantification of the fluctuations of the mode powers and wave intensities that increase exponentially with the propagation distance. The exponential growth rate is studied in detail so as to determine its dependence with respect to the waveguide geometry, the statistics of the random perturbations, and the operating wavelength.
Keywords
waveguide, wave propagation in random media, diffusion approximation
2010 Mathematics Subject Classification
35L05, 35Q60, 35Q99, 35R60, 60F05
Received 16 June 2019
Accepted 2 January 2020
Published 28 July 2020