|
Symbol |
|
Explanation |
|
|
area |
|
|
|
area of primary mirror |
|
|
|
area of aperture  |
|
|
|
aperture |
|
|
generic constant |
|
|
|
offset of linear regression in the reset interval correction |
|
|
|
slope of linear regression in the reset interval correction |
|
|
, |
first order correction on point source spectral response function |
|
|
, |
first order signal corrections for PHT-S chopped observations |
|
|
, |
coefficients for signal dependent PHT-S correction |
|
|
|
flux density conversion factor |
|
|
|
empirical asymmetry factor for chopper offset |
|
|
|
coefficients for chopper offset correction |
|
|
surface brightness |
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|
|
mean brightness |
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|
|
background surface brightness |
|
|
|
accumulated sum of first n sky measurements to |
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|
|
mean brightness |
|
|
generic constant |
|
|
speed of light = 299792500 ms in OLP |
|
|
generic constant |
|
|
generic constant |
|
|
, |
constants |
|
|
statistic |
|
|
detector capacitance |
|
|
|
idem for detector |
C1 |
|
constant for transmission of the whole optical path for a given filter |
|
|
|
assuming
as reference spectrum.The effective size |
|
|
|
of the primary mirror; reflection losses, filter transmission, spectral |
|
|
|
response of the detector, etc. are included |
|
|
spectral response function for pixel i |
|
|
|
average spectral response function for a point source |
|
|
|
spectral response of pixel i for a point source p corrected for chopped c |
|
|
|
signal losses |
|
|
|
average spectral response function for PHT-S staring observations |
|
|
|
spectral response function for pixel i corrected for chopped signal loss |
|
|
|
PHT-S averaged chopped spectral response function for a point source |
|
|
|
integration capacitance associated with detector P1, P2 or P3, |
|
|
|
point source responsivity for PHT-S pixel |
|
|
|
extended source responsivity for PHT-S pixel |
|
|
height of source peak (background subtracted) |
|
|
diameter of Airy disk |
|
|
diameter of aperture for PHT-P, side length of the array for PHT-C |
|
Dec |
|
declination |
|
DI |
|
selected offset data word (0...4095) |
|
|
fixed voltage offset for CRE |
|
|
exposure time |
|
|
e (i,j) |
contribution from nth sky sample to exposure time |
|
|
accumulated exposure time |
|
|
(i,j) |
sum of first n sky pointings |
|
|
(i,j) |
total exposure time of image |
|
|
filter |
|
|
flux density |
|
|
point spread function fraction for filter f |
|
|
|
entering the field aperture in case of PHT-P or falling onto the |
|
|
|
array in case of PHT-C |
|
|
|
intensity function of a point source entering the aperture |
|
|
|
fraction of the telescope point spread
function falling into a given |
|
|
|
aperture for PHT-P or onto the full array for PHT-C |
|
|
|
idem for a given aperture |
|
|
|
idem for the entire detector array |
|
|
|
idem for a given pixel |
|
|
|
fraction of point spread function at the reference wavelength |
|
|
wavelength dependent beam profile |
|
|
|
inside the aperture or pixel |
|
|
coverage factor |
 |
|
flat-field correction for pixel  |
|
|
flux density in frequency units unless explicitly specified |
|
|
(i,k) |
flux for pixel i at raster point k |
|
|
|
source+background flux |
|
|
|
source+background flux |
|
|
|
background flux |
|
|
|
background flux |
|
|
|
source flux with psf correction for point source |
|
|
(i) |
flux density in wavelength units for pixel |
|
|
|
flux density of source at specific wavelength |
|
|
|
source flux density for an assumed spectral energy distribution |
|
|
|
|
|
|
|
(flux density at reference wavelength) |
|
|
|
flux density at centre wavelength of filter |
|
|
|
flux density for applied SED |
|
|
|
flux density quoted in AAR |
|
|
|
flux density in frequency range |
|
|
|
flux density in wavelength range |
|
|
|
source flux density for an assumed spectral energy distribution |
|
|
|
at reference wavelength |
|
|
weighting function for correction |
|
|
|
weight factors related to correction (i,S,t) |
|
|
goodness of fit |
|
|
gain |
|
|
|
offset gain |
|
|
|
signal gain |
|
|
Planck constant |
|
|
heating power of FCS |
|
|
linearisation correction for signal S |
|
|
|
idem, for filter , detector pixel , and signal |
|
|
pixel index, integer counter |
|
|
Surface brightness in wavelength units unless explicitly stated |
|
|
|
surface brightness based on monochromatic point source flux density |
|
|
|
surface brightness of (extended) source in filter f, assuming |
|
|
|
 |
|
|
(i) |
surface brightness of a given detector array element i (of PHT-S) |
|
IBP |
|
in-band power in W |
|
|
step flag, for chopper position within a chopper cycle |
|
|
integer counter |
|
|
|
chopper cycle number |
|
|
|
raster point number in one direction |
|
|
Boltzmann's constant |
|
|
|
colour correction |
|
|
constant |
(SED) |
|
colour correction factors for applied SED |
|
|
length or integer counter |
|
|
|
raster point number in one direction |
|
|
length |
|
|
|
map size in RA |
|
|
|
map size in Dec |
|
|
|
mean pixel value used to convert into the correct units |
|
|
|
number of raster steps along a raster leg |
|
|
|
median of s per chopper unit |
|
|
|
number of columns of raster |
|
n |
|
integer counter |
|
|
n |
minimum number of image pixels in RA to cover raster area |
|
|
n |
minimum number of image pixels in Dec to cover raster area |
|
|
n |
index representing the dwell time in the calibration files |
|
|
n |
number of detector pixels |
|
N |
|
integer counter |
|
|
|
number of iterations for ramp deglitching |
|
|
|
minimum number of readouts per ramp |
|
|
|
sigma value to identify outliers in ramp deglitching |
|
|
|
number of chopper units |
|
|
|
number of ramps per chopper plateau |
|
|
|
total number of readouts |
|
|
|
actual number of ramps per chopper plateau in the telemetry, is derived |
|
|
|
from N' = N /DAT_RED where N is the commanded number of |
|
|
|
ramps per chopper plateau and DAT_RED is the applied data reduction |
|
|
|
factor |
|
|
|
number of fine grid positions that fall within the detector footprint |
|
|
|
total number of fine grid positions that fall
within a pixel |
|
|
cirrus confusion noise |
|
|
galaxy confusion noise |
|
|
power in W |
|
|
|
in-band power for filter f' and FCS heating power h in mW as obtained from |
|
|
|
FCS power tables, for PHT-P in Wmm , |
|
|
|
for PHT-C in W/pixel |
|
|
|
source power |
|
|
|
power measured on pixel if line is centred |
|
|
|
power measured on adjacent pixel if line is centred |
|
|
|
power measured on pixel if line is centred between pixels |
|
|
(h) |
in-band power for filter f and FCS heating power h |
|
|
|
in-band power of celestial calibrator |
|
|
|
in-band power for filter f in aperture a |
|
|
|
in-band power for filter f and pixel  |
|
|
|
maximum commandable power on FCS |
|
|
|
in-band power of on-source position |
|
|
|
in-band power of off-source position |
|
|
|
in-band power of source only |
|
|
|
peak (source) power value |
|
|
|
background power value |
|
|
|
in-band power on the detector from the FCS due to heating power h |
|
|
|
in-band power obtained from the source |
|
|
|
in-band power for given FCS heating power h |
|
|
|
constant |
|
|
detection limit in multiples of  |
|
|
quaternion |
|
|
|
quarternion that defines the position of the
PHT central field of view for |
|
|
|
a given raster point in the J2000 inertial frame |
|
|
|
defines the J2000 pointing of the ISO star tracker |
|
|
|
defines the raster point relative to the raster
centre of the scan |
|
|
|
describes misalignment between the star tracker
and the quadrant star |
|
|
|
sensor (QSS) |
|
|
|
describes the QSS to instrument aperture alignment |
|
|
|
gives the fine pointing correction to the star
tracker calibration |
|
|
|
quarternions representing the rotations of the detector origin with |
|
|
|
respect to a given raster point, assuming
perfect alignment between |
|
|
|
chopper and spacecraft y-axis |
|
|
|
chopper quaternion |
|
|
constant |
|
|
responsivity |
|
|
|
average relative system response derived from a bandpass |
|
|
|
detector responsivity |
|
|
(i) |
detector responsivity of pixel i |
|
|
|
default detector responsivity |
|
|
|
responsivity for each pixel of a C detector |
|
|
|
responsivity of pixel obtained from FCS |
|
|
system response at specific wavelength |
|
|
sensor resistance |
|
|
|
constant in resistance |
|
|
|
harness resistance |
|
|
|
EEU shunt resistor in parallel to sensor |
|
|
measured responsivity of pixel relative to default responsivity |
|
|
signal in V/s |
|
|
|
source signal |
|
|
|
signal at time t |
|
|
|
pairwise differences between V(k) and V(k+1) |
|
|
|
slope for ramp j |
|
|
|
signal taken with reset interval RI and data reduction rate DAT_RED |
|
|
|
signal after orbital dependent dark correction |
|
|
|
initial signal |
|
|
( (t)) |
orbit dependent dark correction |
|
|
|
signal before signal linearisation |
|
|
|
signal after signal linearisation |
|
|
|
signal |
|
|
|
average of valid signals per chopper plateau |
|
|
|
difference signals of consecutive readouts |
|
|
|
generic pattern |
|
|
|
source signal determined via generic pattern |
|
|
|
source signal determined via generic pattern, corrected for losses due to |
|
|
|
chopper modulation |
|
|
(x) |
source signal for chopper cycle k |
|
|
(X) |
given set of powers |
|
|
|
weighted mean signal for FCS measurement |
|
|
|
FCS signal per chopper plateau |
|
|
image pixel size |
|
|
|
nominal uncertainty of fit |
|
|
|
uncertainty of fit |
|
|
signal |
|
|
|
linearised difference signal (from chopped measurement) |
|
|
|
linearised difference signal, corrected for losses due to chopper |
|
|
|
modulations |
|
|
, S |
on- and off-source signals |
|
|
|
signal for pixel i at raster point k |
|
|
|
measured signal of calibrator |
|
|
|
measured dark FCS signal (stray light) |
|
|
|
signal of FCS measurement in filter f' |
|
|
|
linearised source signal (PHT-P) after dark signal subtraction |
|
|
|
linearised source signal (PHT-C) after dark signal subtraction |
|
|
|
signal transient of pixel i at time t |
|
|
|
orbit dependent dark signals |
|
|
size |
|
|
|
side length of (square) fine grid image pixel |
|
|
|
side length of square detector pixel |
|
|
time in s |
|
|
|
time at midpoint of a given ramp |
|
|
|
time at first readout of a given ramp |
|
|
|
chopper dwell time |
|
|
|
measurement time |
|
|
|
reset interval time |
|
|
|
chopper plateau time |
|
|
|
dwell time |
|
|
temperature in K |
|
|
|
EEU temperature |
|
|
reflection losses on optical elements |
|
tmd |
|
telemetry data value |
|
|
|
maximum value of telemetry word (=4096) |
|
|
TOL |
voltage for chopper deflection calibration |
|
|
RA |
right ascension |
|
|
chopper unit |
|
|
uncertainty |
|
|
(i,j) |
mean brightness uncertainty contribution from nth sky sample |
|
|
voltage in V |
|
|
|
voltage for chopper deflection calibration |
|
|
|
voltage for chopper deflection calibration |
|
|
|
voltage for chopper deflection calibration |
|
|
|
voltage for chopper deflection calibration |
|
|
|
CRE output voltage |
|
|
|
GAIN dependent offset voltage |
|
|
uncertainty |
|
|
(i,j) |
accumulated mean brightness uncertainty |
|
|
(i,j) |
brightness uncertainty from rms |
|
|
voltage in V |
|
|
|
voltage corresponding to readout k |
|
|
|
voltage |
|
|
weight |
|
|
|
weight function for PHT-S chopped measurements |
|
|
|
statistical weight of each signal obtained from its associated statistical |
|
|
|
uncertainty |
|
|
distance or coordinate |
|
|
|
margin around raster in m direction |
|
|
|
margin around raster in n direction |
|
|
|
angular x coordinate of the image pixel origin |
|
|
data word for focal plane chopper position |
|
|
distance or coordinate |
|
|
|
chopper deflection |
|
|
|
angular y coordinate of the image pixel origin |
|
|
distance or coordinate |
|
|
|
spacecraft z-offset |