Asymptotic analysis of a Bragg fiber: a multiple scales approach
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Published version
Accepted version
OA Location
Author(s)
Maling, B
Craster, RV
Type
Journal Article
Abstract
We develop an asymptotic approach to find the guided modes, and their frequencies, within a Bragg fiber
consisting of a cylindrical dielectric core surrounded by concentric cylindrical cladding layers; these
fibers have the aim of transporting electromagnetic waves over long distances with minimal transmission
losses. We derive a scalar ordinary differential equation eigenvalue problem on a dynamic long-scale that
has the details of the short-scale field built into its coefficients, which is then straightforward to solve. The
resulting asymptotic results are compared against full numerical solutions and their accuracy verified.
consisting of a cylindrical dielectric core surrounded by concentric cylindrical cladding layers; these
fibers have the aim of transporting electromagnetic waves over long distances with minimal transmission
losses. We derive a scalar ordinary differential equation eigenvalue problem on a dynamic long-scale that
has the details of the short-scale field built into its coefficients, which is then straightforward to solve. The
resulting asymptotic results are compared against full numerical solutions and their accuracy verified.
Date Issued
2016-12-13
Date Acceptance
2016-10-07
Citation
IMA Journal of Applied Mathematics, 2016, 81 (6), pp.1191-1208
ISSN
0272-4960
Publisher
Oxford University Press
Start Page
1191
End Page
1208
Journal / Book Title
IMA Journal of Applied Mathematics
Volume
81
Issue
6
Copyright Statement
© The authors 2016. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is an
Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/),
which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/),
which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
License URL
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
homogenization
electromagnetic waves
periodic structures
PROPAGATION
REFLECTION
MEDIA
0102 Applied Mathematics
Applied Mathematics
Publication Status
Published