WAVE PROPAGATION IN RANDOM WAVEGUIDES
Cited 2 times inCited 1 times in
- WAVE PROPAGATION IN RANDOM WAVEGUIDES
- Jung, Chang-Yeol; Mahalov, Alex
- Evolution of probability distribution; Monte carlo simulation; Random interface; Random media; Stochastic partial differential equation
- Issue Date
- AMER INST MATHEMATICAL SCIENCES
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.28, no.1, pp.147 - 159
- We study uncertainty bounds and statistics of wave solutions through a random waveguide which possesses certain random inhomogeneities. The waveguide is composed of several homogeneous media with random interfaces. The main focus is on two homogeneous media which are layered randomly and periodically in space. Solutions of stochastic and deterministic problems are compared. The waveguide media parameters pertaining to the latter are the averaged values of the random parameters of the former. We investigate the eigen modes coupling due to random inhomogeneities in media, i.e. random changes of the media parameters. We present an efficient numerical method via Legendre Polynomial Chaos expansion for obtaining output statistics including mean, variance and probability distribution of the wave solutions. Based on the statistical studies, we present uncertainty bounds and quantify the robustness of the solutions with respect to random changes of interfaces.
Appears in Collections:
- SNS_Journal Papers
- Files in This Item:
- There are no files associated with this item.
can give you direct access to the published full text of this article. (UNISTARs only)
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.