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NUMERICAL MODELING OF WAVE PROPAGATION IN NONLINEAR PHOTONIC CRYSTAL FIBER
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Title
NUMERICAL
MODELING
OF
WAVE
PROPAGATION
IN
NONLINEAR
PHOTONIC
CRYSTAL
FIBER
Author
Khan, Md. Kaisar
Keywords
PCF
FEM and Nonlinear Optics
Abstract
In this
dissertation
,
we
propose
numerical
techniques
to
explain
physical
phenomenon
of
nonlinear
photonic
crystal
fiber
(PCF).
We
explain
novel
physical
effects
occurred
in
PCF
subjected
to
very
short
duration
pulses
including
soliton.
To
overcome
the
limitations
in the
analytical
formulation
for
PCF
, an
accurate
and
efficient
numerical
analysis
is
required
to
explain
both
linear
and
nonlinear
physical
characteristics.
A
vector
finite
element
based
model
was
developed
to
precisely
synthesize
the
guided
modes
in
order
to
evaluate
coupling
coefficients
,
nonlinear
coefficient
and
higher
order
dispersions
of
PCFs.
This
finite
element
model
(FEM)
is
capable
of
evaluating
coupling
length
of
directional
coupler
implemented
in
dual
core
PCF
,
which
was
supported
by
existing
experimental
results.
We
used
the
parameters
extracted
from
FEM
in
higher
order
coupled
nonlinear
Schrödinger
equation
(HCNLSE)
to
model
short
duration
pulses
including
soliton
propagation
through
the
PCF.
Split-step
Fourier
Method
(SSFM)
was
used
to
solve
HCNLSE.
Recently
,
reported
experimental
work
reveals
that the
dual
core
PCF
behaves
like
a
nonlinear
switch
and also
it
initiates
continuum
generation
which
could
be
used
as a
broadband
source
for
wavelength
division
multiplexing
(WDM).
These
physical
effects
could
not be
explained
by the
existing
analytical
formulae
such
as the
one
used
for the
regular
fiber.
In
PCF
the
electromagnetic
wave
encounters
periodic
changes
of
material
that
demand
a
numerical
solution
in
both
linear
and
nonlinear
domain
for
better
accuracy.
Our
numerical
approach
is
capable
of
explaining
switching
and
some
of the
spectral
features
found
in the
experiment
with
much
higher
degree
of
design
freedom.
Numerical
results
can
also be
used
to
further
guide
experiments
and
theoretical
modeling.
Adviser
Wu, Thomas Xinzhang
Publisher
University
of
Central
Florida
Degree
Ph.D.
Degree Discipline
School of Electrical Engineering and Computer Science
Degree Grantor
Engineering and Computer Science
Degree Program
Electrical Engineering PhD
Graduation Date
2008-01-01
Type
Doctoral dissertation
Access Level
Public - Allow Worldwide Access
Release Date
2008-09-05
Repository
University Archives
Repository Collection
Electronic Theses and Dissertations
Identifier
CFE0002248
Access Link
http://purl.fcla.edu/fcla/etd/CFE0002248
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