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Description  |
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BACKGROUND OF THE INVENTION
The present invention relates to a device for measuring a phase shift,
which is not reciprocal, produced in an optical, ring-shaped
interferometer.
Such an interferometer contains mainly a luminous energy source, generally
formed by a laser, an optical device forming a wave-guide consisting
either of a certain number of mirrors or of an optical fibre wound around
itself, a device for separating and mixing the light and a device for
detecting and processing the signal detected. Two waves coming from the
separator device pass through the optical device forming the wave-guide in
opposite directions.
A fundamental property of ring-shaped interferometers is their reciprocity,
any disturbance with the optical path affects both waves in the same way.
However, there are two types of disturbances which affect this reciprocity.
On the one hand, there are disturbances which vary within a length of time
comparable to the propagation time of the waves along the interferometer
optical path and, on the other, there are disturbances, called "non
reciprocal", which have a different effect on the waves depending on the
direction in which they move along the optical path.
Certain physical effects destroy the symmetry of the medium in which the
waves propagate. In particular, there are the Faraday effect, or colinear
magneto-optical effect, by which a magnetic field produces a preferential
orientation in the spin of electrons in an optical material, this effect
being used in the making of current measuring devices, and the Sagnac
effect, or relative inertia effect, in which the rotation of the
interferometer with respect to a Galilean ratio destroys the propagation
time symmetry. This effect is used to produce gyrometers.
In the absence of disturbances which are not reciprocal, the phase
difference .DELTA..PHI. between the two waves, which recombine in the
separator and mixer device after passing through the optical path, is
zero. The detection and processing device picks up signals representing
the optical power of the compound wave obtained after recombination. If it
is required to measure small amplitude disturbances, small rotation speeds
in the case of gyrometers for example, the component due to the appearance
of reciprocal disturbances varies little because the phase shift
.DELTA..PHI. is almost zero. It is then necessary to introduce,
artificially, an additional fixed phase shift or "non reciprocal bias" to
increase the measurement sensitivity. However, this procedure meets with
difficulties in its application, especially as far as stability is
concerned the instability of the devices of prior practice is, in general,
of the same order of size as the variations in the quantity to be
measured. Methods designed to obtain greater stability in these devices
have been suggested but the improvement in measurement sensitivity is less
than that hoped for; the maximum theoretical sensitivity is determined by
calculations of the limit due to quantum noise.
SUMMARY OF THE INVENTION
To palliate these disadvantages, the invention offers a method which
enables the operating point of a ring-shaped interferometer to be moved.
This method then allows an improvement in the sensitivity of measurement
of a physical quantity which introduces small amplitude disturbances,
which are not reciprocal. Also, it does not need great stability in the
phenomena concerned.
The application of this procedure is especially convenient in
interferometers with a very long path, an optical fibre for example, which
are used for measuring rotation rates or electric currents. Also, the
invention offers, with respect to other methods of prior practice, the
following advantages : drift in the electronic part of the equipment does
not limit stability in the measurement, the method makes it possible to
work at the point of maximum sensitivity, the zero method used makes the
interferometer sinusoidal response linear and the output signal frequency
is proportional to the amplitude of the phase shift to be measured : its
integration is done by counting without drift.
The invention provides then an optical interferometer device intended to
measure a phase shift, which is not reciprocal, suffered by two radiations
moving in opposite directions in a ring-shaped wave-guide, this device
containing a monochromatic luminous source, means for photodetection of
the interference in these radiation and optical separator and mixer means
which connect the ends of this wave-guide to the luminous source and
photodetection means; said device containing electrically controlled means
for giving an optical phase shift .phi., which acts on these radiations,
an oscillator which delivers a periodical voltage of 1/2.tau., in which
.tau. is the time taken by each of the radiations to pass through the path
fixed by the ring, a saw-tooth wave generator with an adjustable slope, a
synchronous detector which receives this periodic voltage at one of its
inputs and is connected at its other one to the photodetector means, the
output of this synchronous detector is connected to the slope control
input of the saw-tooth wave generator, the phase sweep produced by this
saw-tooth wave is roughly 2.pi., the resonant frequency of this saw-tooth
wave is slaved to the non reciprocal phase shift, the periodic voltage and
saw-tooth voltage are superimposed at the input of these phase-shift means
.
DESCRIPTION OF THE DRAWINGS
The invention will be better understood and other advantages will appear
from the description which follows and the figures attached:
FIG. 1 shows schematically a ring-shaped interferometer;
FIG. 2 is a diagram showing a special aspect of the ring-shaped
interferometer;
FIG. 3 shows schematically an improvement in prior practice added to the
ring-shaped interferometer;
FIGS. 4, 5, 6 and 7 are diagrams showing this improvement;
FIG. 8 show schematically a device using the method in the invention;
FIGS. 9, 10, 11 and 12 are diagrams explaining the operation of the device
in accordance with the invention;
FIGS. 13 and 14 are examples of production of the device using the method
in the invention.
DESCRIPTION OF THE PREFERED EMBODIMENTS
FIG. 1 shows schematically a ring-shaped interferometer of prior practice.
A laser source S sends a beam of parallel rays 1 to a separator device
formed by a semitransparent sheet M.
A certain number of mirrors M.sub.1, M.sub.2, M.sub.3 determine an optical
path which forms the ring of the interferometer. This ring may be produced
by means of a monomode optical fibre for example; measurement sensitivity
is increased by the use of a long optical path. This ring is looped on the
separator device M which also acts as a mixer device and thus determines
an output branch 3. Hence, the ring contains two waves propagating in
opposite directions, one clockwise (direction 2) and the other
anticlockwise (direction 1). These two waves recombine at separator sheet
M. The result of this combination can be seen in output branch 3 by means
of detector D. A part of the beams is picked up again in the input arm by
separator sheet M and passes through filter device F. At the output the
two waves recombine at separator sheet M'. The result of this combination
can be seen in output branch 4 by means of detector D'. When branch 4 is
considered, the insertion of filter device F in the interferometer input
arm makes it strictly reciprocal. It is then passed through by a wave in a
single optical mode. This filter device consists of a mode filter followed
by a polarizer. Incident beam 1 passes through this filter and the
fraction which comes out is in a single mode. Hence two things may be
considered; either the emerging beam 3 corresponding to the interference
of the two beams which have not passed through the mode filter device
again, or the part of the beams which is picked up again in the input arm
by the semi-transparent sheet M. This part of the beams passes through
filter device F again. At its output, the two beams passed in arm 4 by
means of semi-transparent sheet M' are in the same mode, which makes the
interferometer insensitive to "reciprocal" disturbances.
Let .DELTA..phi. be the phase difference between the two waves propagating
in opposite directions in the ring and P.sub.S the optical power output
that can be measured in output branch 4. In the absence of "non
reciprocal" disturbance .DELTA..phi. is zero.
As a non-limiting example, a gyrometer using a ring-shaped interferometer
may be considered. A "non reciprocal" disturbance will be produced by the
rotation of the gyrometer. The phase difference .DELTA..phi. is not zero
and .DELTA..phi.=.alpha..OMEGA. in which .OMEGA. is rotational speed and
##EQU1##
in which k is a constant depending on the gyrometer geometry, L the length
of the optical path, .lambda. the wave-length of the light emitted by
laser source S and C the light speed in ring 2. When the rotational speed
.OMEGA. increases, the phase difference .DELTA..phi. increases in the same
proportion because coefficient .alpha. remains constant. The optical power
P.sub.S changes in accordance with a cosine law.
##EQU2##
in which P.sub.1S corresponds to direction 1 and P.sub.2S to direction 2.
The measurement sensitivity for a given value .DELTA..phi. is given by the
derivative of P.sub.S.
##EQU3##
The interferometer sensitivity is very low if the phase difference
.DELTA..phi. is almost zero. This is the case in gyrometer when small
rotational speeds are to be measured. The optical power variation in the
output branch is shown by the diagram in FIG. 2.
The terms P.sub.1S and P.sub.2S may be considered equal. It follows then
that, for a phase difference .DELTA..phi.=.pi., the power detected is a
minimum. It passes through a maximum P.sub.Smax when .DELTA..phi.=0 and
2.pi. and so on.
To increase the interferometer sensitivity a constant "non reciprocal" bias
can be added to the phase of the two waves moving in opposite directions
to move the interferometer operating point.
In the case of a function which varies in accordance with a cosine
function, the highest sensitivity point is obtained for the angles
(2K+1).pi./2 in which K is a whole number. A bias can then be chosen which
adds to each wave a phase variation in absolute values of .pi./4 but of
opposite signs. In the absence of "non reciprocal" interference, the phase
difference then becomes .DELTA..phi.'=.DELTA..phi.+.DELTA..phi.o in which
.DELTA..phi.o=.pi./2. This is at point P.sub.So on FIG. 2.
As shown in FIG. 3, a phase modulator can be added on the wave path in ring
2 which produces a reciprocal effect. This modulator is so energized as to
produce a phase variation in the wave which passes through it. This
variation is periodic, its period being equal to 2.tau. in which .tau. is
the time taken by a wave in the ring.
The phase difference then becomes
.DELTA..phi.'=.DELTA..phi.+.phi.(t)-.phi.(t-.tau.) in which each of the
waves circulating in the opposite direction suffers this phase shift when
it passes through the modulator with .phi.(t)=.phi.(t+2.tau.).
FIGS. 4 and 5 show the effect of phase modulation by a symmetrical function
.phi.(t). The operating point describes the curve P.sub.S =f(.DELTA..phi.)
in FIG. 2 symmetrically between a pair of extreme points. The first pair,
on FIG. 4, shows the case in which the rotation to be mesured is zero; it
is reduced to the two values -.pi./2 and +.pi./2. The second pair, on FIG.
4, shows the case in which the speed to be measured is no longer zero and
it is given by a value .DELTA..phi.o of phase difference; it is
represented by the values (-.pi./2+.DELTA..phi.o) and
(+.pi./2+.DELTA..phi.o).
To obtain this, a reciprocal phase shift .phi. (t) of rectangular shape can
be applied to one end of the optical path.
As shown in FIG. 7, the signal varies between two values, .phi.o and
.phi.o+.pi./2. If the case of FIG. 4 is considered, i.e. when .OMEGA.=0,
because of the introduction of .phi.(t), to the signal already detected
will be added a component .phi.(t)-.phi.(t-.tau.) in which .phi..sub.CW
and .phi..sub.CCW are the phase shifts resulting to the two waves which
interfere with each other as shown in FIGS. 6 and 7 (left hand side). The
phase shift between .phi..sub.CW and .phi..sub.CCW is then a purely
reciprocal one. .phi..sub.CCW -.phi..sub.CW is a rectangular signal
varying between +.pi./2 and -.pi./2.
On the other hand, if the case of FIG. 5 is considered, i.e. when
.OMEGA.=.epsilon., to the signal already detected, because of the
introduction of .phi.(t), will be added a component .phi.'.sub.CCW
-.phi.'.sub.CW which is no longer centred with respect to 0. This is
because a non reciprocal phase shift .DELTA..phi. is added to the
preceding reciprocal phase shift. Compared with the preceding case in
which .OMEGA.=0, this gives .phi.'(t)=.phi.(t)+.DELTA..phi./2 and
.phi.'(t-.tau.)=.phi.'(t)-.DELTA..phi./2. This gives
.phi.'(t)-.phi.'(t-.tau.)=.phi.(t)-.phi.(t-.tau.)+.DELTA..phi.:.phi..sub.C
W and .phi..sub.CCW are the phase shifts resulting to each of the two waves
which pass through the ring in opposite directions. Hence, .phi..sub.CCW
-.phi..sub.CW is a rectangular signal whose mean value is offset by
.DELTA..phi. with respect to the time axis.
FIG. 8 shows a way of making the interferometer in accordance with the
invention, phase modulators being provided along the path of the ring in
this interferometer so that the speed measurement may be more precise. In
FIG. 8, there is a Sagnac interferometer with its ring 2 and the
production of a phase modulation signal .phi.(t). The phase modulator is
inserted in ring 2. The signal coming from detector D' is passed to a
synchronous amplifier piloted by an oscillator of frequency 1/2.tau. which
delivers a periodic signal .phi..sub.1 (t). For the rest of the text, the
detector+synchronous amplifier assembly will be called a synchronous
detector. The signal coming from this synchronous detector feeds the
control of the slope .alpha. in saw-tooth wave generator 22 through a
servo-control amplifier 26 of the P.I.D. type. This saw-tooth wave
generator has its output .phi..sub.2 combined with that .phi..sub.1 of
oscillator 21 to feed phase modulator .phi.. A threshold detection logic
circuit 23 causes the saw-tooth wave to drop down. This detection is done
with respect to a reference which may be a voltage, Vref for example. This
reference can be regulated. The signal is of the form Cos.sup.2. It must
therefore remain the same before and after the saw-tooth drop. Hence,
comparison of the reference signals, voltages for example, at these two
instants enables reference 24 to be regulated by means of comparator 25.
The measurement made at the detector corresponds to a current:
I.sub.1 =I.sub.1o Cos.sup.2 (.DELTA..phi./2).
If .DELTA..phi. is the non reciprocal phase shift undergone by the light
passing through the interferometer, the electrical signal in the detector,
which is proportional to the optical intensity detected, will be:
I.varies. Cos.sup.2 (.DELTA..phi./2). The sensitivity of this measurement,
dI/d.DELTA..phi., is a maximum when .DELTA..phi..perspectiveto.(2k+1)
.pi./4 and zero when .DELTA..phi..perspectiveto.K.pi., especially around
.DELTA..phi.=0. Among the various methods which enable the operating point
to be moved towards the position (2K+1) .pi./2 to work in a sensitive
linear zone, the most convenient, as it has been seen, use the sensitivity
of the interferometer to the reciprocal variations in phase whose
amplitude varies a lot during the transit time in the interferometer.
If .tau. is the transit time in the interferometer and a reciprocal phase
shift .phi.(t) is applied to one end of the ring-shaped optical path, the
signal detected becomes:
##EQU4##
If a phase modulator bringing in a reciprocal effect: an elasto-optical or
electro-optical one for example, is added in the wave path, the wave phase
can be caused to vary periodically. In the present invention, the
disturbance .phi.(t) will be compound and formed from the sum of two
signals, a periodic signal .phi..sub.1 (t) of period 2.tau. and a linear
slope .phi..sub.2 (t), modulo 2.pi., in which .tau. is the time a wave
takes in the ring path.
Hence, .phi.(t)=.phi..sub.1 (t)+.phi..sub.2 (t) in which .phi..sub.1
(t+2.tau.)=.phi..sub.1 (t) and
##EQU5##
is the integral part of .alpha.t/2.pi. and .alpha. the slope of the
saw-tooth.
Hence,
##EQU6##
If .PSI.(t)=.phi..sub.1 (t)-.phi..sub.1 (t-.tau.), because of the
periodidity of .phi.(t), the function .PSI. (t) is symmetrical and
.PSI.(t+2.tau.)=.PSI.(t)+.PSI.(t+.tau.)=-.PSI.(t).
As Cos.sup.2 is an even function, the component of signal I of period
2.tau. in phase with .phi..sub.1 (t) is of zero amplitude if, and only if,
.DELTA..phi.+.alpha..tau.=0. The amplitude of this component is
algebraically proportional to the error .DELTA..phi.+.alpha..tau. when the
latter is small. If FIG. 9 is considered, a distorted detected signal I
corresponds to a signal .theta.=.DELTA..phi.+.alpha..tau.+.PSI.(t) at the
input. It can be broken down into two signals of frequencies 1/.tau. and
1/2.tau..
On the other hand, if FIG. 10 is considered, which is different from FIG. 9
in that .DELTA..phi.+.alpha..tau.=0, a detected signal I of frequency
1/.tau. corresponds to an input signal .theta.=.PSI.(t). The result of the
synchronous detection has then a mean value of zero.
In the two FIGS. 9 and 10, the sinusoidal signal .PSI.(t) was considered as
a non-limiting example.
The amplitude of this component .DELTA..phi.+.alpha..tau. is used as an
error signal for servocontrol of coefficient .alpha. in the function
.phi..sub.2. This gives
##EQU7##
The relaxation frequency of .phi..sub.2 (t) is then
##EQU8##
This frequency forms the signal measuring the non reciprocal phase shift
and the direction in which the relaxation occurs gives the phase shift
sign.
Even though the method works no matter what the form and amplitude of the
function .phi..sub.1 (t), two advantageous forms are:
##EQU9##
The amplitudes of the two functions have been chosen to give maxima for the
signal detected and ensure linearity for small signals.
These two functions are easy to produce; they require a limited pass band
and their amplitude corresponds to an advantageous value of the zero
method signal to noise ratio.
In the case in FIG. 7, .phi..sub.1 is considered as a rectangular function
with: .phi..sub.1 (t), .phi..sub.2 (t), .phi.(t)=.phi..sub.1
(t)+.phi..sub.2 (t). .phi..sub.CW and .phi..sub.CCW are the phase shifts
resulting from each of the two modes which pass through the interferometer
loop in opposite directions. These two signals are shifted in phase, one
with respect to the other, by .tau. due to the reciprocal phase shift, as
the modulator is placed at an end of the loop. The quantity .DELTA..phi.,
which is the non reciprocal phase shift, also appears. This phase shift in
a gyrometer is due to the rotational speed.
.phi..sub.CCW -.phi..sub.CW is the resultant signal to which the detector
is sensitive. The value .DELTA..phi. of the non reciprocal phase shift
reappears with .alpha..tau. which was defined previously.
.phi..sub.CCW -.phi..sub.CW =.DELTA..phi.+.alpha..tau.+.PSI.(t).
.PSI.(t) is a symmetrical function and .DELTA..phi.+.alpha..tau. is the
mean value of .phi..sub.CCW -.phi..sub.CW.
I is the signal detected. It is obtained as shown in FIG. 10. I is
proportional to Cos.sup.2 (.phi..sub.CCW -.phi..sub.CW). If the signal
representing Cos.sup.2 is drawn, I is reconstructed when moving from A to
B.
The difference in ordinates between points A and B is 2.pi. because of the
amplitude 2.pi. of the saw-tooth .phi..sub.2. As it was said previously, I
has been taken as a signal algebraically proportional to
.DELTA..phi.+.alpha..tau. and, because of the opposite signs of
.DELTA..phi. and .alpha..tau., the amplitude of the signal is proportional
to .alpha..tau.-.DELTA..phi..
The relaxation of signal .phi..sub.2 (t) must have an amplitude of 2.pi..
In the case in which the scale factor of the corresponding phase modulator
is not known or is likely to drift with time; it is advisable to slave
this relaxation to 2.pi..
First of all a comparator is used which makes comparison possible at a
voltage Vref corresponding to 2.pi.. When there is equality, a recycling
pulse causes the saw-tooth to drop down.
The signals detected at two instants, one preceding the saw-tooth drop
(comparison with a voltage Vref) and the other following it (delay line),
are also compared. If they are equal, the value Vref is exact because it
corresponds to a phase shift of 2.pi.. If this is not so, the value must
be changed by .+-.. The interferometer response remains the same during
the transit time of the relaxation discontinuity, which is assumed to be
infinitely straight and outside this time.
In FIG. 12, the quantity 2.pi. has become 2.pi.+.epsilon., and points C and
D have moved to C' and D' on the curve I=f(t).
The measurement made in accordance with this theory offers the following
advantages:
it is stable because it only depends on the precision with which the
relaxation is done and on the transit time. There is no phase shift
phenomenon.
it is sensitive because it is made near the maximum slope point.
it is linear thanks to the use of the zero method.
it is quantified, which makes transmission and use easy. In particular,
integration without drift is obtained by counting only.
The device (a reciprocal phase modulator), which enables the interference
.phi..sub.1 (t)+.phi..sub.2 (t) to be introduced, can, with advantage, be
split into two devices placed either one at each end of the path or both
at the same end as shown in FIG. 8, one of them giving the phase shift
.phi..sub.1 (t) and the other .phi..sub.2 (t). .phi..sub.1 (t) is a signal
of small amplitude (typically .pi./4), high frequency (typically some 100
kHz) and narrow band (.perspectiveto.0) whose precision is not critical.
On the other hand, .phi..sub.2 (t) is a signal of large amplitude (2.pi.),
low frequency (a few Hz to a few kHz) and wide band (DC to a few kHz)
whose precision determines that of the measurement scale factor. These
contradictory characteristics are more easily satisfied in two separate
devices.
The phase modulator device(s) can each be divided into two identical parts
placed symmetrically at the two ends of the optical path and energized in
opposition. This arrangement gives additional symmetry to the phenomena
which reduces the second order errors resulting from possible
non-linearity in the modulators.
It is an advantage in some cases to advance or retard the relaxation
instant of function .phi..sub.2 (t) to give it a desired fine phase
relationship with the functions .phi..sub.1 (t). As long as the saw-tooth
amplitude remains 2.pi., no cumulative error is added to the measurement.
When the increment .DELTA..phi.dt is too big and corresponds to a
quantifying of .intg..DELTA..phi.dt which is too coarse, the instantaneous
value of .phi..sub.2 (t) enables this measurement to be smoothed. The
angular increment given by the interferometer being 1/2.pi..tau. this
gives .intg..DELTA..phi.dt=.SIGMA.(2.pi..tau.)+[.phi..sub.2 (t)]. In
particular, in the case in which the relaxation threshold is not reached
at any instant during the measurement, the integrated measurement is given
continuously and linearly by .intg..alpha..phi.dt=[.phi..sub.2 (t)].
Digitalizing is no longer possible but the zero method remains valid.
The progress achieved in the production of low loss optical fibres allows
the use of optical fibres in the making of these ring-shaped
interferometers as it has already been stated. This enables a very long
optical path 2, increased miniaturization of the electro-optical elements
and of the modulators by integration to be obtained. A way of producing a
ring-shaped interferometer complying with the invention is shown in FIG.
11. Fibre 12, wound round itself, forms ring 2 of the interferometer. The
various branches of the interferometer are made of integrated optics and
the wave-guides are made by integration in a substrate. The substrate may
be chosen from the following materials: lithium niobate or tantalate in
which titanium or niobium respectively has been diffused to produce the
wave-guides. The substrate may also be of gallium arsenide in which the
wave-guides have been made by ion or proton implant. The modulator is
broken down into two modulators, .phi..sub.1 and .phi..sub.2, at the two
ends of the fibre. More precisely, the modulators used in the invention
can take advantage of various known electro-optical effects such as the
Pockels effect or the Kerr Effect, to cite non limiting examples.
Two couplers made from pairs of electrodes (E.sub.1, E.sub.2) and (E.sub.3,
E.sub.4) play the part previously taken by the semitransparent plates in
the figure. Monomode wave-guide 8 acts as the monomode filter in FIG. 1. A
polarizer is made by metallizing the substrate surface over wave-guide 8.
The two couplers can be replaced by optical ray separators consisting of
monomode wave-guides connected one to another to form Ys, the two Ys being
connected one to another by one of their branches. This has been done in
FIG. 12. A polarizer has been made by metallizing the substrate surface
over wave-guide 8.
The most important application concerns optical fibre gyrometers. In these
devices:
##EQU10##
in which C.sub.0 =the speed of light in a vacuum,
.lambda..sub.0 =the light wave-length used in a vacuum,
S=the surface taken up by one turn of optical fibre
N=the number of turns
.OMEGA.=the absolute field of rotation to which the device is subjected.
##EQU11##
in which N and C.sub.0 are as before P is the perimeter of a turn and n
the equivalent index of the fibre used.
This gives
##EQU12##
This frequency is that of the gyro-laser of the same dimensions made of a
material with the same index subjected to the same field of rotation.
This result enables an optical fibre gyrometer made in accordance with the
present invention ot replace a laser gyrometer without in any way changing
the operation of the electronic equipment.
As with the gyro-laser, the gyrometer is converted into a gyroscope by
integrating by counting and discounting the output signal, each relaxation
corresponding to an increment .theta..sub.i in the absolute angular
position of the device:
##EQU13##
In a typical case, the optical fibre gyrometer is made of 400 m of optical
fibre with an equivalent index of 1.42 wound on a cylindrical drum, 8 cm
in diameter: S=5.10.sup.-3 cm.sup.2, P=0.25 m, N=1600, .tau.=1.9 .mu.sec,
F.sub.[.phi..sbsb.2.sub.] =66 kHz/(rad/sec)=0.3 Hz (deg/hr), .theta..sub.i
=15.10.sup.-6 rad=3 seconds of arc.
Another application is that of optical fibre magnetometers and current
probes. These devices use the Faraday effect which, in good polarizing
conditions, produces a non reciprocal phase shift .DELTA..phi.
proportional to the magnetic field circulation along the optical fibre:
.DELTA..phi..varies..intg.B.multidot.dl. The proportionality constant only
depends on the material in which the magneto-optical interaction occurs
(optical fibre). In the case in which the optical path follows a closed
loop in uniform conditions, this circulation is equal to the total
electric current passing through this closed circuit:
.DELTA..phi..varies..intg.B.multidot.dl=I.
If several turns (N) of optical conductor interact with several turns (M)
of electrical conductor, these effects are cumulative: .DELTA..phi. N.M.I
and if the present invention is applied to the device:
##EQU14##
N.M.I in which C.sub.0 is the speed of light in a vacuum, L the full
length of fibre used and n its equivalent index.
The device thus obtained is a "current/synchro" converter. Integration of
the quantity of current is obtained as before by simple counting and
discounting, the increment being:
##EQU15##
In a typical case, the proportionality constant (which is deduced from the
Verdet constant), for an optical fibre of standard manufacture, is of the
order of 10.sup.5 rad/(A. turn. turn). If the device consists of 100 m of
optical fibre with an equivalent index of 1.42:.tau.=0.5 .mu.sec,
F.sub.[.phi..sbsb.2.sub.] =3.5 Hz (A.turn.turn) and Q=0.3 C. turn.turn.
Such a device is clearly flexible. For example, it can be used for:
measuring currents of some 10,000 A: 1 turn of fibre round a single
conductor: F=3.5 Hz/A, Q=0.3 C. An application is in electrolysis baths.
measuring currents of a few Amperes: 100 turns of fibre round 100 turns of
electrical conductor: F=35 kHz/A and Q=3.multidot.10.sup.-5 C.
measuring currents of a few mA: 1000 turns of fibre round 10,000 turns of
electrical conductor: F=35 kHz/mA and Q=3.multidot.10.sup.-8 C.
* * * * *
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