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FIGURE
1: A basic optical isolator
Conoptics
manufactures a family of modular Faraday rotators and interchangeable
accessories which can be combined to perform various isolation functions.
A basic optical isolator is shown in Figure 1. Light from a presumed
well polarized laser source enters an aligned beamsplitting polarizer
from the left. It then proceeds through a Faraday rotator which
is tuned to 45° for the particular laser wavelength. Only one
magnet is shown but, whether a single magnet or a three magnet array
is used, its major field component is parallel to the optical propagation
direction. Light returning from any downstream reflecting surface
undergoes an additional 45° rotation in its backward pass through
the glass. It is now polarized orthogonal to the forward beam and
is rejected by the polarizer.
Faraday
Rotators
The Faraday rotators included in the 700 Series consist of one or
more high flux NIB permanent magnets and a terbium glass element.
Tunability is accomplished by moving the glass between regions of
high and low field strength. An important feature of the Conoptics
design is that the glass does not rotate as it is moved thereby
eliminating the possibility of transmitted beam nutation due to
residual wedge. Polarization rotation is a function not only of
the axial magnetic field strength, but also of the glass length,
L, and its Verdet constant, V. More precisely, on axis

where
z is along the propagation direct.
The value of V is strongly wavelength dependent and diminishes rapidly
as wavelength increases. In order to avoid the need for extending
the length of glass elements to achieve 45° rotation at long wavelengths,
the local field strength must be increased by using combinations of
magnets with opposing fields. The Model 713, 714, and 715, while outwardly
quite large, have only a fraction of their lengths filled with glass.
The magnet array design is intended to increase axial field strength
but also affects the field radial uniformity. Only relatively small
volumes along the axis of the magnet array offer sufficiently low
gradients. Furthermore, tuning the rotator (changing Zo
in equation 1) by definition means moving the glass into a region
of lower integrated axial field strength and higher gradients. It
is generally recommended, therefore, that for best isolation ratio,
a model be chosen in which the intended operating wavelength is near
the upper end of the tuning range. A strong absorption peak at approximately
490nm is typical of terbium glass. At wavelengths larger that 500
nm absorption is low and the models listed are capable of operation
with more than 6 watts average power. Operation at 488 nm is not recommended
but a special unit operable at 458 nm is available. TABLE 1 lists
the specifications of standard Conoptics Faraday rotators. The isolation
ratio (extinction) is dependent on the type of polarizer(s) used,
the operating wavelength in relation to the tuning range, and beam
diameter.
Polarizers
Figure 1 shows that it is actually the polarizer that performs the
beam separation function in an optical isolator. It is an obvious
fact that, while the homogeneity of the Faraday rotator is of critical
importance and generally limits performance in single stage devices,
the extinction of the isolator can be no better than the extinction
of the polarizer. Conoptics offers the Model 720 polarizer in two
forms; one containing a low cost, low power polarizer, the other a
high performance, high power Glan prism. Extinction as high as -40dB
(10 -4) is possible using the 720 Glan with a small beam
and a properly tuned Faraday rotator. Extinction with the low power
type ranges between -20 and -30dB. Both types are fully rotatable.
The
polarization of light reflected back towards the laser source may
not be the same as that in the forward direction. Any orthogonal polarization
component accidentally produced will not be rejected by the polarizer-rotator
combination shown in Figure 1. A second polarizer must be added to
the assembly on the opposite end of the rotator and aligned at 45°
to the original polarizer. This allows the forward beam to proceed
with only the additional static loss of the second polarizer (<4%)
but eliminates the unwanted polarization component in the backward
direction. The modular design of 700 Series components provides for
convenient mounting of polarizers to either end of rotator assemblies.
Quartz
Compensators
A frequently annoying feature of optical isolators is that the polarization
of the forward transmitted beam is at 45° to that of the source.
Addition of a Model 730 Compensator provides a net rotation of either
0° or 90°, selectable by interchanging output and input ends
of the assembly. The 730's utilize the rotary power of Z cut crystal
quartz as fixed 45° elements. The effect on a transmitted polarization
form is the same as that of a Faraday rotator except it is fully reciprocal.
An additional advantage of the 730 is that it partially achromatizes
the isolator, an important benefit when dealing with broadband or
tunable lasers. A good approximation of the wavelength dependence
of a Faraday rotator tuned to a 45° at λo is

Where
F is a constant peculiar to the type of glass used and λo.
The sense of the rotation (±) is dependent on the direction of propagation.
The rotation of the 730 compensator (45° at λo) is
expressed similarly,

but
the sense is independent of propagation direction. The net rotation
of these elements in series is

Figure
2 is an 800 - 1000 nm plot of equation 4 using a Model 714 Faraday
rotator and Model 730 Compensator between two polarizers. In this
case λo is 880 nm. Ideal components are assumed and static
losses are not shown. For the sake of comparison, an uncompensated
rotator between two polarizers is also shown. The 714/730 combination
configured to produce a 0° net forward rotation at λo
(Parallel polarizers) offers nearly lossless transmission across the
wavelength band. Extinction of reflected light, however, degrades
rapidly towards the band edges. On the other hand, the configuration
which produces a 90° rotation at λo in the forward
direction (crossed polarizers) shows a high extinction across the
band with only a modest reduction of transmission towards the band
edges. This means moderate wavelength changes can be made without
re-adjusting the isolator. Conversion between one configuration and
the other is accomplished simply by turning the entire assembly end
for end and adjusting the polarizers between the crossed and parallel
positions.

FIGURE
2: Insertion loss and extinction vs. wavelength (nm).
l, uncompensated; ll, 0° rotation compensated: lll, 90° rotation
compensated.
Models 714 and 730, λo = 880nm. Static losses are
not included.
The
Model 716
Certain lasers (e.g. diode lasers) are highly susceptible to the disturbing
influences of back reflections and the -30 to -40dB isolation provided
by Models 711A through 715 is inadequate. The Model 716 is specifically
designed for such applications. Referring to Figure 3, it is seen
to consist of two Faraday elements and three polarizers. Only the
center polarizer, P2, is rotatable about the beam axis. The Faraday
elements are identical except for the magnetic field direction reversal
so that, disregarding the effect of P2, their rotations cancel.
Assuming
that forward propagating light entering P1 from the left is linearly
polarized and well aligned to the transmission direction (0°)
of P1, the transmission of the assembly is given by
5)
TF = Cos4 (θF - φ)
Where
QF is the rotation due to each Faraday element and F is
the orientation of P2. Similarly, the assembly transmission of backward
propagating light is
6) TB = Cos4 (θF + φ)
Since the purpose of the device is to prevent back reflections,
φ is tuned to make TB = 0, that is, θF
+ φ = 90°. Substituting in Equation 5,
7) TF = Cos4 (2θF - 90°)
= Sin4 (2θF)
Equation 2 shows how θF varies with deviations
from the peak wavelength, λo. Equation 7 shows
that as θF varies from 45° and φ is tuned
to maintain high backward extinction, the forward transmission
is reduced. Figure 4 is a plot of the forward transmission of
Model 716 as the center polarizer is rotated for best backward
extinction at wavelengths near the peak wavelength of 823 nm.
Since the 716 is supplied complete with three polarizers, all
static losses are included. The peak wavelength of Model 716 can
be factory adjusted to any wavelength within the range 600 to
850nm.

FIGURE
3: Model 716 internal construction. P1, P2, and P3 are polarizers;
F1 and F2 are Faraday rotators.
Equations
6 and 7 represent ideal components. In general, however, the residual
imperfections of both Faraday rotators and polarizers limit extinction
of back reflected light. The tandem configuration of the Model 716 effectively
halves the leakage (in dB) due to radial field gradients and glass imperfections
in the Faraday elements thereby making extinction of the polarizers
the limiting factor. A crossed pair of Conoptics Glan polarizers exhibits
an extinction of approximately -60dB (a transmission ratio of 10-6).
The residual leakage is caused by surface and bulk scattering and spurious
birefringence. On average, the leakage can be considered to be unpolarized
and the third polarizer adds only another -3dB to the extinction. Careful
manufacturing and selection procedures assure that an extinction of
at least -60dB can be achieved and maintained with the Model 716.

FIGURE
4: Forward transmission as a function of wavelength for best isolation
for a Model 716
peaked at 823nm (-1dB range is 110nm centered at 830nm). All static
losses are included.
Tuning Ranges
700 SERIES
OPTICAL ISOLATOR TUNING RANGES
|
| MODEL NUMBER |
TUNING
RANGE |
ISOLATION |
TRANSMISSION |
| 711A |
500 TO 645 |
37 —› 40dB |
92% |
| 711C |
390 TO 500 |
28 —› 30dB |
85% |
| 712A |
532 TO 715 |
37 —› 40dB |
92% |
| 712B |
644 TO 780 |
37 —› 40dB |
92% |
| 712TGG |
700 TO 900 |
37 —› 40dB |
92% |
| 713A |
650 TO 900 |
37 —› 40dB |
92% |
| 713B |
790 TO 980 |
37 —› 40dB |
92% |
| 714 |
815 TO 1080 |
37 —› 38dB |
90% |
| 715 |
965 TO 1135 |
32 —› 38dB |
90% |
| 716 (DOUBLE) |
SPECIFY CENTER λ |
56 —› 60dB |
88% |
| 716TGG |
1064 |
56 —› 60dB |
88% |
All products are supplied with (2) Glan type polarizers
with double escape points and mounting base.
All have 5.0 mm Aperture |
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