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HRDI Instrument Operations
Theory of Operation
A typical horizontal
wind speed of 10 m/s for the middle atmosphere causes a Doppler shift of ~2
x 10-5 nm (4 x 10-4 cm-1). This small shift requires a high-resolution spectrometer
with high sensitivity and very good stability. The Fabry-Perot was chosen because
of its large light gathering power and high resolution (P. Jacquinot, J. Opt.
Soc. Am. 44, 761-765, 1954). Since complete descriptions of the Fabry-Perot
interferometer have been given elsewhere (G. Hernandez, Cambridge University
Press, 1986; J.M. Vaugh, Hilgar Press, 1989) only an outline is provided here.
The Fabry-Perot interferometer is a deceptively simple device that consists
of two transparent plates which are extremely flat (up to lambda/200) and parallel
(tilt < 2 x 10-11 rad). The inside surfaces are coated with a relatively high-reflectivity
coating (~80 to ~95%) that is usually a multilayer dielectric stack. The device
is a resonating cavity which forms Haidinger fringes at an infinite distance
from the etalon. The fringes are brought back to some finite distance by the
use of imaging optics. The transmittance for an ideal Fabry-Perot etalon is
given by the Airy function
(1)
where R is the
plate reflectivity, T is the transmittance, M is the order of interference which
in turn is given by
(2)
where is the index
of refraction of the gap (here =1), t is the plate separation, is the wavenumber
of the light and is the angle from normal incidence. The peak transmittance
of such an ideal etalon is unity and occurs whenever the order of interference
is an integer. The passbands can occur for infinite combinations of µ,
t, theta, and nu. If we vary only the wavenumber, the separation between peaks
at normal incidence is the free spectral range:
(3)
If M is an integer
for the conditions µ=1 (vacuum), t=t0, theta=theta0=0, and nu=nu0, then
in order for M to remain an integer the following condition must be satisfied:
(4)
This equation illustrates
that for space flight applications there are two practical methods for scanning
a Fabry-Perot interferometer in wavenumber: 1) by looking at different angles
through the interferometer, which amounts to viewing different spatial locations
at the focal plane of the imaging optics, and 2) by varying the thickness of
the etalon gap. Both of these techniques are utilized by HRDI.
Fig. 3. Effect
of multiple etalons on the instrument passband. (a) HRE and filter only, (b)
HRE, MRE and filter, (c) HRE, MRE, LRE, and filter.
The Airy function
describes a periodic response, as shown in Fig. 3(a). The instrument response
is adequate to observe narrow spectral features with a very small background,
so that light will be transmitted only through one order. This requirement is
satisfied in the upper atmosphere where widely spaced emission lines are viewed
against a dim background. The line of interest is isolated by adding a low resolution
interference filter. In the lower atmosphere (below the stratopause), where
HRDI observes absorption lines in scattered sunlight, a single etalon would
transmit light through all orders and the signal would be overwhelmed by this
parasitic light. It is necessary to use a multiple-etalon system in order to
reduce this unwanted light (J.E. Mack et al. Appl. Opt. 2, 873, 1963;
D.P. McNutt, J. Opt. Soc. Amer. 55, 288, 1965). If the thicknesses of
the etalons are properly chosen (W.R. Skinner et al., Appl. Opt. 26,
2817, 1987), then it is possible to reduce the "parasitic" light of the instrument
to an acceptable level. The effect of adding a second and third etalon with
an interference filter to the system is shown in Figs. 3(b) and 3(c). The HRDI
instrument employs one etalon with a fixed gap of 1.0 cm which is scanned by
observing different angles through the etalon using a multi-channel detector.
The gaps of the second and third etalons (0.186 and 0.025 cm thickness) can
be varied slightly (~1000 nm) with piezoelectric materials so that they may
be adjusted into resonance with any order of the fixed, high-resolution etalon.
This allows the instrument to scan in wavelength over a range which is limited
only by the interference filter.
Instrument Tuning
Equation (2)
is the basis for developing the equations to properly tune the instrument. It
is obviously necessary that all three etalons be in resonance at the same wavelength
for the instrument to operate properly. The HRE has fixed posts, but, since more
than a free spectral range is projected on the detector, all wavelengths are present
there. The MRE and LRE have piezoelectric posts that allow their gaps to be adjusted.
The tuning algorithm adjusts the etalons from a known reference position that
is close to the desired wavelength. This is carried out in two steps: first, the
angle through the HRE which will cause the desired line to be in resonance is
determined. Second, given the wavelength and angle, the voltages that must be
applied to each of the posts of the MRE and LRE which bring these etalons into
alignment are found. In this section the necessary steps are outlined. The actual
algorithm is somewhat more complicated since thermal effects and phase dispersion
of the coatings must be included. Since the desired lines for HRDI are always
close to a reference line (the system was designed for that to be so), and since
the HRDI instrument operates in a vacuum (mu=1), the order of interference can
be written
(5)
where the subscript
o indicates values of t and nu that cause m to be an integer when theta=0. In
the development that follows a subscript r represents the conditions that match
a reference condition. These conditions are determined from calibration data.
No subscript indicates the state of the instrument that is necessary for tuning
to wavenumber nu. The HRE has no thickness adjustment capability, so the difference
in orders from the desired to reference condition is
(6)
In order to find
theta-squared it is important to note that a change of an integer number of orders
results in the same instrument state, and so the first step is to find the change
in orders, M, assuming for the moment that :
(7)
where the free spectral
range is that of the HRE. This is permissible since the change in order due to
the angle change is always less than one order. The integer number of orders are
removed and Eq. (7) inverted to find theta-squared:
(8)
where int() denotes
the closest integer. This sets the condition for resonance for the HRE. For the
MRE and LRE the procedure is similar, except now t is found given nu and theta-squared.
For these etalons values for Delta M are defined as
(9)
where the free spectral
range now refers to either the MRE or LRE. This equation is inverted to give
(10)
The etalons are controlled
by applying voltage to the posts to change their length. Extensive calibrations
have determined that a second order polynomial is sufficient to represent thickness
changes:
(11)
where V is a command
voltage and alpha1 and alpha2 are constants that are specific to each post. Equation
(10) then becomes
(12)
This quadratic function
is readily solved for V.
These equations show that there are several important parameters
needed to properly tune the interferometer. First, the reference conditions
must be well known. This amounts to six voltages and one angle for each reference
condition. Usually, the instrument is adjusted to maximize the signal from an
atomic emission line of a spectral lamp. These lines are quite stable and since
lamps are part of the on-board calibration equipment they can be used to recalibrate
these parameters in flight. Second, the free spectral range and the voltage
constants alpha1 and alpha2 are required. In addition, the thermal drift terms
(which have been excluded in this simplified analysis) must be determined. It
has been necessary to redetermine the reference conditions several times since
launch. Some of these were required to compensate for the MRE post failures
which are described below. During the first major solar array problem the instrument
temperature became quite cold (<-20° C), and after the instrument was
turned back on a noticeable shift was observed. The other constants have remained
stable and have required no adjustment.
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Table 1.
Summary of HRDI parameters. |
|
| Telescope
|
| Primary diameter |
17.78 cm |
| Field of
view |
0.12°
x 1.369° (wide), 0.12° x 0.12° (narrow) |
| Transmittance |
~25% |
| Detector
|
| Number of
channels |
32 |
| Integration
period |
0.096 s |
| Off period |
0.032 s |
| Repetition
period |
0.128 s |
| Effective
quantum efficiency |
0.053 (631
nm), 0.043 (691 nm) |
| |
0.037 (725
nm), 0.030 (768 nm) |
| Dark signal |
0.63 counts/0.096
s/channel @ -10°C |
| |
1.47 counts/0.096
s/channel @ -5°C |
| Etalons |
| Plate diameter |
13.2 cm |
| Coated diameter |
9.4 cm |
| Plate material |
Spectrosil-B |
| Coating materials |
ZnS-ThF4 |
| Post type |
fixed (HRE),
piezoelectric (MRE and HRE) |
| Post material |
zerodur (HRE),
PZT-5H + quartz (MRE and LRE) |
| Interferometer
|
| Spectral
range |
630-770 nm |
| Number of
filters |
13 |
| Filter bandwidth
|
0.8 - 1.5
nm |
| Spectral
resolution (HWHH) |
~0.020 cm-1 |
| Continuum
sensitivity |
~1 x 10-4
counts/0.096 s/R/cm-1 |
| Thermal drift |
-23.0 m/s/°C
(762 nm), -36.5 m/s/°C (690 nm), -26.5 m/s/°C (630 nm) |
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Instrument Performance
Instrument Problems
The HRDI instrument
has been collecting scientific data since November 2, 1991. There have been
several periods when the instrument was either off or not in a condition to
make useful measurements. These are summarized in Table 2. There have been two
occasions when there have been hardware problems that have temporarily prevented
scientific data collection. Fortunately, both had work-arounds that allowed
complete recovery. Both problems occurred in the electronics that operate the
piezoelectric posts on the medium resolution etalon (MRE). The first failure
occurred in the drive circuitry. In order to minimize the time needed to adjust
the etalon gap there are two circuits used to drive the PZT; one to lengthen
the post, and the other to shorten it. One of these failed, leaving positive
control in only one direction. In order to move the post in the other direction
sufficient time (~4 s) must be allowed for the post to relax to the desired
position. The solution to this problem was to examine the applied voltages for
each of the lines in the scientific mode and order them such that sequencing
through desired lines always has positive control. The voltage was reset during
the slew from front to back or back to front viewing. The slew takes approximately
six seconds which is sufficient for the post to relax. The second problem occurred
with MRE post 1. A digital-to-analog converter (D-A) which converts the computer
calculated voltage to the analog value had a one-bit failure. The D-A is a 16-bit
converter with 12 bits varying the voltage by a factor of 2 for each bit and
4 bits which select a voltage range. One of these latter bits failed. This was
fortunate, since it allows the full resolution of the device to be retained.
The instrument was designed to have a dynamic range of 2 x 103 nm (~6 orders
of motion), which is far more than necessary. In principle, only 1 order of
motion would be necessary. The additional orders were included to allow for
paralleling the etalon and to compensate for temperature variations. The quality
of the constructed etalon was very good, so virtually none of the additional
dynamic range was required. This could be used to shift etalon movement from
the dead region on the D-A to one that was still active. The instrument software
was modified to do this and full scientific capability was restored. Neither
of these work-arounds would have been possible without the flexibility provided
by the instrument computer.
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Table 2.
HRDI timeline. |
|
| Date |
UARS
operational
day |
Description |
|
| September
12, 1991 |
1 |
UARS launch |
| October 1,
1991 |
20 |
HRDI activation |
| November 2,
1991 |
52 |
Scientific
observations began |
| March 30-April
26, 1992 |
201-228 |
Instrument
data of limited value due to MRE post 2 partial failure |
| June 2-July
22, 1992 |
265-301 |
Instrument
off due to spacecraft solar array problem |
| February 2-12,
1993 |
510-520 |
Instrument
data of limited value due to MRE post 1 partial failure |
| February 15,
1993 |
523 |
Calibrations
performed on nightside only |
| June 14, 1993 |
642 |
Begin temperature
feedback |
| August 2,
1993 |
691 |
Improved
yaw offset calibration |
| August 2,
1993 |
691 |
Begin improved
temperature feedback |
| August 4-9,
1993 |
694-698 |
Instrument
off due to spacecraft solar array problem |
| September
17-23, 1993 |
737-743 |
Instrument
off due to spacecraft solar array problem |
| October 2-7,
1993 |
752-757 |
Instrument
off due to spacecraft solar array problem |
| October 22-26,1993 |
772-776 |
Instrument
off due to spacecraft solar array problem |
| December 8-9,
1993 |
819-820 |
Instrument
off due to low battery power |
| March 15,
1994 |
916 |
Reduced calibration
frequency began |
| March 24-April
6, 1995 |
1290-1303 |
Instrument
off due to spacecraft solar array problem |
| April 17,
1995 to present |
1314- |
Instrument
off due to spacecraft solar array problem |
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Thermal control
Initially the
temperature of HRDI was controlled by trying to hold the radiator to a specific
temperature. This setpoint is adjustable in steps of 2.5° C. If the radiator
temperature fell below the radiator setpoint, then heaters on the radiator were
turned on and the power supplied to the heaters was proportional to the difference
between the desired and actual temperature. Once the setpoint was exceeded they
would be turned off. The amplitude of the temperature variation of the interferometer
was damped by the long path from the radiator. Examination of the interferometer
temperature data showed that the high frequency cycling of the radiator was
also effectively damped. As the angle between the orbit plane and the sun (the
beta angle) varied during the spacecraft's monthly precession, heat load
into the interferometer changed. This resulted in a low frequency variation
of the instrument temperature (Fig. 4) of greater than 1.5° C. The interferometer
drifts at a rate of ~30 m/s/° C, this amounts to about a 45 m/s variation.
In addition, as the radiator ages the emissivity of the radiator drops, and
it becomes increasingly more difficult to keep the instrument cold. This becomes
significant during the solstice periods when the spacecraft can be in continuous
daylight for several days and the solar beta angle can approach 80°. In
this condition the heaters are off, and the interferometer temperature rises
by about 1° C. After about 500 days of operation it was realized that the
use of the instrument computer could significantly improve the temperature stability.
The temperature of the etalons was monitored and when they rose above the desired
temperature the radiator setpoint was lowered. This forced the radiator to lower
its temperature and consequently cool the interferometer. The radiator setpoint
was then raised when the etalon temperature fell below the desired temperature.
This method of temperature control was used from June 14 to August 2, 1993 (642
to 691 days after launch). This was not an optimum setup and a positive feedback
resulted that caused the interferometer to oscillate at high frequency. On August
2, 1993 (day 691), the algorithm was modified slightly so that the temperature
of the optical bench (see Fig. 2b) was controlled instead of that of the interferometer.
This is an intermediate point between the radiator and the interferometer and
effectively eliminates the high frequency components present in the first control
attempt, and significantly reduces the low frequency components that were present
when no computer control was attempted. The temperature is held to within a
few tenth's of a degree, except during solstice periods when the temperature
rises about 1° C.
Fig. 4. Temperature
of the high resolution etalon during the first 1000 days of UARS operation.
In-flight calibrations
There are four
different types of in-flight calibrations: 1) high frequency calibration checks
which are performed every 1-2 days; 2) low frequency periodic detailed calibrations
(approximately every 36 days); 3) instrument pointing; and 4) one of a kind
or infrequent special calibrations. Here, the discussion will be limited to
the calibration checks, which provide most of the information on the interferometer
performance, and the instrument pointing.
The frequent
calibrations were initially performed daily. Nine different calibration sequences
were defined that took from five to ten minutes to complete. They were cycled
through every third terminator crossing. Terminator crossings were chosen because
the HRDI data is most difficult to interpret when the solar zenith angle is
near 90°. Therefore it was acceptable to give up some of that data. Every
third terminator crossing was selected since this would give alternating night-to-day
and day-to-night crossings, preventing any bias, in both scientific and calibration
data. After about 500 days it was realized that calibrations performed in the
night-to-day portions were causing a small, but significant, loss in daytime
scientific data. Since there was no noticeable difference between the night-to-day
and day-to-night calibrations, it was decided to perform the calibrations every
second day-to-night terminator crossing starting February 15, 1993 (523 days
after launch). At the same time, some calibrations that were providing little
useful information were eliminated and some new ones were added. These new calibrations
monitor the performance of the damaged MRE etalon. By 900 days after launch
it was realized that one of the spectral lamps containing a mixture of helium,
argon, and krypton (HAK) was significantly aging (it was only coming on a fraction
of the time it was commanded) and the instrument was changing slowly enough
so that the calibration frequency could be reduced. Calibrations were then performed
every fourth day-to-night crossing so that it takes about two days to complete
a cycle. Table 3 describes the calibrations performed in this last period.
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Table 3.
Frequent HRDI Calibrations. |
|
| Segment |
Lamp |
Purpose
of Test |
|
| all |
none |
detector
dark count |
| 1 |
incandescent |
interferometer
sensitivity |
| 2 |
neon |
instrument
drift in the 14427 cm-1 (B band) region |
| 3 |
HAK |
instrument
drift in the 13151 cm-1 (A band) region |
| 4 |
neon |
instrument
drift in the 15856 cm-1 (gamma band) region |
| 5 |
neon |
MRE, LRE finesses
HRE & lamp width |
| 6 |
none |
PLT post response
test |
| 7 |
none |
MRE electronics
test |
|
HAK = helium, argon, krypton gas mixture
LRE and MRE finesse
The finesse of
the LRE and MRE can be determined by scanning the etalons over the spectral
lines. Figure 5 shows the finesses for these etalons measured at 692.9 nm for
the first 1000 days of operations. The LRE shows a slow drift towards higher
values, starting at about 11.5 and is about 12.25 by day 1000. In contrast,
the MRE has decreased from about 12.5 to approximately 12. The low values of
the MRE finesse correspond to occasions after the MRE post problems had arisen
and before the temperature control was implemented.
Fig. 5. Etalon
finesse as a function of time as determined from observations of the neon line
at 629 nm. (a) LRE and (b) MRE.
HRE width
The spectrum
of a spectral lamp as viewed by the IPD provides some information on the width
of the HRE etalon. Since the line width of the lamp is a significant fraction
of the etalon width, only a relative change in the etalon passband can be determined.
Figure 6 shows the width of the neon line at 692.9 nm as a function of time.
An oscillation in the width of ~0.02 cm-1 is quite clear until approximately
600 days after launch. This corresponds to the time that the interferometer
temperature control was improved and indicates that the oscillation was a temperature
effect.
Fig. 6. Spectral
width of combined HRE and neon line at 692.9 nm for the first 1000 days of UARS
operation.
Instrument sensitivity
An incandescent
lamp is used to look for changes in the sensitivity or transmittance of the
interferometer. The lamp is located in the calibration deck and therefore does
not determine if any changes are occurring in the telescope or transfer optics
(see Figure 1a). The interferometer is tuned to a wavelength that is located
in the center of the filter passband. Figure 7 shows the counts from channel
1 when the instrument is tuned to the center of a filter located at 692.3 nm.
The signal varies by less than 10% throughout the mission, but shows a slight
shift upward at approximately 300 days after launch. This was caused by a change
in the MRE and LRE reference values at this time which was required by the cold
period the interferometer encountered when the instrument was turned off (see
Table 2). The signal continued to increase until about 700 days after launch
when a decrease occurred. The reason for this is currently unclear, although
it is probably due to either the LRE or MRE becoming slightly misaligned with
the HRE.
Reference location
The position
of a reference line on the detector provides information on the instrument drift
and zero velocity information and is particularly important for accurate wind
recovery (Burrage et al., Geophys. Res. Lett. 20, 1259, 1993; Burrage
et al., SPIE 2266, 294, 1994). The location of the spectral lamp line
in each of the three main spectral regions (630, 690, and 762 nm) is regularly
monitored for these purposes. Figure 8 shows the position for the neon line
at 629.9 nm as a function of time. In figure 8a the raw data is presented. Oscillations
of ±0.1 channels are readily observed. This corresponds to a shift of approximately
±40 m/s. Notice after the improved temperature control was implemented the oscillation
becomes much less and only a slow, long term drift remains. In Figure 8(b) the
temporal effects have been removed, leaving just the instrument long term drift.
The instrument drifted quickly at first, which is probably a result of instrument
outgassing. A shift occurred during the time of the first solar array problem,
probably because of the very low temperatures the instrument encountered. In
Figure 8(c) the temporal drift has been removed and the result is a straight
line with a scatter that is equivalent to an rms value of ~2 m/s. Notice the
increase in scatter during the time of the first temperature control scheme,
between days 642 and 691.
Fig. 7. Signal
from incandescent lamp for the first 1000 days of UARS operation.
Fig. 8. a) Location
in channel numbers of the neon line at 629.9 nm as a function of time: (a) raw
data, (b) thermal effects removed, and (c) thermal and temporal effects removed.
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