-
Fiber Bragg grating temperature
sensor
-
A
review
Abstract
:In recent years,
considerable progress has been made in optical
fiber sensors using a fiber Bragg
grating (FBG). This is because such FBG
sensors have many advantages for practical
applications: ease of
multiplexed
operation, compactness, quasi-point sensing
capability and simple structure.
Fiber Bragg
gratings
(FBG)have generated much
interest for use as sensors for strain,
temperature, and other physical
quantities because of their important
properties such as immunity to electromagnetic
noise, high sensitivity,
compactness,
and simplicity of fabrication.
OCIS codes: (060.2370) Fiber optics
sensors; (230.1480) Bragg reflectors.
1. Introduction
Fiber Bragg
grating (FBG) has been intensively studied
and developed as an optical sensor
for various sensing applications, such
as health monitoring of civil structure, non-
destructive
testing of composite
materials, smart structure, and traditional stain,
pressure, and temperature
sensing [1].
To realize practical sensor systems with
multiplexing capability, various kinds of
FBG
array
interrogation
techniques
have
been
suggested
[2].
Recently,
the
demand
for
warning the abnormal temperature
increase at restricted spaces has been rapidly
increasing. In
particular, due to
different tolerable thresholds required at
different locations, it is necessary
to
construct
the
low
cost
and
easy
interrogation
configuration.
In
this
letter,
a
novel
multi-
point
temperature
warning
sensor
using
a
multi-channel
matched
FBG-based
multi-wavelength
pulsed
laser
is
proposed
and
demonstrated.
The
sensor
has
several
advantages,
including
flexible
setting
of
the
tolerable
temperature,
simple
structure,
high
signal-to-noise ratio,
low system cost and quick response.
2. Background
(
1
)
Intracore
fiber
Bragg
gratings
for
strain
measurement
in
embedded
composite
structures
The Bragg wavelength is
given by
?
B
?
2
n
eff
?
,
(1)
where
n
eff
< br>
is
the
effective
refractive
index
of
the
fiber
(modal
index)
and
L
is
the
Bragg
grating
period.
We
obtain
the
Bragg
wavelength
shift
?
?
B
in
the
temperature
sensor
by
differentiating Eq. (1) with respect to
temperature:
?
?
B<
/p>
?
2
?
n
eff
?
?
2
n
eff
,
(2)
For a bare
FBG, with temperature variation, the second term
on the right-hand side of Eq. (2)
is
negligible because the thermally induced fiber
elongation effect (
??
) is
much smaller than
the
effect
of the
refractive index change.
Attaching a metal strip to the
FBG can
make the
- 1 -
fiber elongation [the second term on
the right-hand side of Eq. (2) much larger than
that of
bare FBG
.
(
2
)
p>
Measuring Thermal and Mechanical Stresses
on Optical Fiber in a DC
Module Using
Fiber Bragg Gratings
FBGs
can
be
used
as
sensors
to
monitor
stress
and
temperature
during
fiber
processing,
handling,
installation, and in service events. When an FBG
is subjected to a combination of
mechanical and thermal loading, the
return Bragg wavelength will shift proportionately
to the
magnitude
of
the
load.
It
is
important
to
be
able
to
decouple
the
mechanical
and
thermal
response of the
reflected Bragg wavelength, in order for this
sensor to achieve its intended
usefulness of obtaining an accurate
measure of mechanical stress when temperature
varies.
The shift in the
return Bragg wavelength as a function of
temperature and stress is given by
[3]
λ
m =
?
B
k
?
?
?<
/p>
?
?
B
kT
p>
?
T
?
?
B
(3)
where:
?
m
measured Bragg wavelength;
?
B
Bragg
wavelength
at
a
reference
condition
(usually
at
room
temperature
and
stress
free);
?
?
change
in
stress,
where
it
is
assumed
that
stress
is
linearly
related
to
strain;
Δ
T
change in temperature;
k
?
stress
coefficient;
k
T
temperature coefficient;
?
p>
B
k
T
=
m
?
,
grating stress sensitivity (calibration constant);
?
B
k
T
p>
?
m
T
,grat
ing temperature sensitivity or
(calibrationconstant).
According to
(3), the temperature coefficient
k
T
is
independent of wavelength. Therefore,
one only needs to measure the change in
temperature to account for the thermal
contribution
to
the
shifted
measured
wavelength
λm
from
the
initial
reference
wavelength
?
B
.
The
thermal
and
stress
parameters
k
T
and
k
?
,
respectively,
in
(1)
have
been
reported
in
a
variety of published studies and are
summarized in Table I. In most of these studies,
k
T
and k
σ
are not
given explicitly but can be calculated by dividing
the published temperature
and
stress
sensitivities
(calibration
constants
for
the
grating)
by
the
unperturbed
Bragg
wavelength
λ
B of
the grating. The thermal and stress coefficients
were converted to SI units
when appropriate. Note that Table I is
not an exhaustive review on the subject, but
should
- 2 -
provide enough data for
comparison.
The dependence
of the index of refraction of glass on temperature
is reported to cause an
equivalent
nonlinear error of 2
?
C over
a temperature range of
?
30
to 80
?
C [11]. However,
this
thermal
nonlinearity
effect
in
the
glass
fiber
is
not
sufficient
to
be
detected
by
the
wavelength measurement system used in
most studies and will be assumed to be negligible
in
this
study.
Several
researchers
[7],
[12]
who
have
measured
linear
temperature
ranges
for
Bragg-
grating responses have also assumed the thermal
nonlinearity effect in glass fiber to be
negligible. Whereas there is
experiment-to-experiment variability in the
reported temperature
response of
uncoated FBGs in Table 1, their behavior is
essentially linear with temperature
between
?
40 and
100
?
C.
One study
[12] found the protective polymer coating to have
a pronounced effect on the
measured
thermal coefficient at low temperatures. The
thermal behavior of the coated grating
becomes nonlinear for temperatures
below 0
?
C.
From
the
statistical
portion
of
Table
I
,
The
variation
in
the
stress
coefficients
is
significantly greater
than the variation in the thermal coefficients.
This is a surprising result,
since the
maximum wavelength shift for a temperature
differential of 100
?
C is
close to 1 nm,
while a change in stress
of 0.2 GPa will produce a wavelength shift close
to 4 nm. The data
from Echevarria et
al.
[4] indicates that the
large variation in the stress coefficient is real
and
significant. Echevarria used the
first- and second-order diffraction peaks from a
single Bragg
grating to monitor
wavelength changes and found that the two
resulting thermal coefficients
were
essentially identical and the stress coefficients
varied significantly.
The
work
by
Shu
et
al
.
[9]
suggests
that
the
method
for
making
an
FBG
affects
the
measured
thermal
and
stress
coefficients. The
effect of
drawing
tension [10]
has
also
been
shown
to
affect
the
photosensitivity
of
codoped
core
fibers
and
the
formation
of
Bragg
gratings. These
differences in the manufacturing process of the
FBGs may help explain the
variations in
the measurements of the thermal and mechanical
coefficients within a particular
study
and between studies [7].
For
FBGs
manufactured
using
similar
techniques
and
precisely
controlled
processes,
(3)
will generate
a
wavelength in dependent
thermal coefficient [4], [11].
Echevarria
et al.
[4]
monitored the first- and
second-order diffraction wavelengths from a single
grating to obtain
thermal
coefficients
within
0.7%
for
a
wavelength
difference
of
768
nm
between
the
two
diffraction
orders.
In
the
study
by
Flockhart
et
al.
[11],
three
FBGs
written
at
separate
wavelengths
were
thermally
characterized.
The
fiber
gratings
were
written
into
hydrogen
loaded fiber by a
two-beam holographic exposure using a frequency-
doubled argon-ion laser.
The two-beam
holographic writing process with the frequency-
doubled
argon-ion laser is
a
more stable method than the more common
process of using phase masks and an eximer UV
source [5]. The three gratings produced
thermal coefficients within 0.2% over a wavelength
range of 53 nm. It should be noted that
nominal values for the thermal coefficients found
in [4]
and [11] differ by 1.4%. The
orientation of the Bragg grating within the
optical fiber does not
appear to have a
significant impact on the thermal coefficient for
a tilt angle of 5.5
?
[8].
Table
1,
PUBLISHED
THERMAL
AND
STRESS
COEFFICIENTS
FOR
FBGS
OF
VARIOUS WAVELENGTHS, RECOAT STATUS, AND
GRATING
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