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A spectral expansion-based Fourier split-step method for uncertainty quantification of the propagation factor in a stochastic environment

Enstedt, M. and Wellander, N. LU (2016) In Radio Science 51(11). p.1783-1791
Abstract

A chaos expanded Fourier split-step method is derived and applied to a narrow-angle parabolic equation. The parabolic equation has earlier been used to study deterministic settings. In this paper we develop a spectral-based Fourier split-step method that will take a limited degree of information about the environment into account. Our main focus is on proposing an efficient method for computational electromagnetics in stochastic settings. In this paper we study electromagnetic wave propagation in the troposphere in the case when the refraction index belongs to a uniform distribution.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fourier split-step method, Polynomial chaos, Propagation factor, Stochastic coefficients, Uncertainty quantification
in
Radio Science
volume
51
issue
11
pages
9 pages
publisher
American Geophysical Union
external identifiers
  • scopus:85003703966
  • wos:000393193600005
ISSN
0048-6604
DOI
10.1002/2016RS006064
language
English
LU publication?
yes
id
8e934c1b-c82f-45d2-bcb4-ff8359027ff0
date added to LUP
2017-01-12 07:34:56
date last changed
2017-09-18 11:36:03
@article{8e934c1b-c82f-45d2-bcb4-ff8359027ff0,
  abstract     = {<p>A chaos expanded Fourier split-step method is derived and applied to a narrow-angle parabolic equation. The parabolic equation has earlier been used to study deterministic settings. In this paper we develop a spectral-based Fourier split-step method that will take a limited degree of information about the environment into account. Our main focus is on proposing an efficient method for computational electromagnetics in stochastic settings. In this paper we study electromagnetic wave propagation in the troposphere in the case when the refraction index belongs to a uniform distribution.</p>},
  author       = {Enstedt, M. and Wellander, N.},
  issn         = {0048-6604},
  keyword      = {Fourier split-step method,Polynomial chaos,Propagation factor,Stochastic coefficients,Uncertainty quantification},
  language     = {eng},
  month        = {11},
  number       = {11},
  pages        = {1783--1791},
  publisher    = {American Geophysical Union},
  series       = {Radio Science},
  title        = {A spectral expansion-based Fourier split-step method for uncertainty quantification of the propagation factor in a stochastic environment},
  url          = {http://dx.doi.org/10.1002/2016RS006064},
  volume       = {51},
  year         = {2016},
}