Bands at the 30m MRT, sizes of pixels and
arrays for various FOVs, Power load, NEP, NET, and NEFD from the background |
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S.Leclercq - Nov 2009 |
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|
The
numbered variables are the free parameters for the optical and photometric
calculations |
|
The
grey font is used for comments or optional calculations given for information
but not used in the optical and photometric calculations |
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|
|
F# (30m+NIKA) = |
1.6 |
|
Diffraction
size on the 30m, number of beam and pixels per FOV |
NEFD & NET from
planets |
|
Flux=BnW=noc*2hn^3/c^2*W |
noc = occupation number (Bose-Einstein in Planck formula) |
|
|
AKID |
LEKID |
Ko = Nb pix/HPBW (2D) = Wbm / Wp |
|
Speed of light [m/s] c |
3E+08 |
|
Pix pitch (mm) |
1.6 |
2.3 |
|
x/zb = |
2.6 |
zb/x = |
0.4 |
|
Boltzman constant [J/K] k |
1.38E-23 |
|
Pix Size (Fl) |
0.5 |
0.72 |
zb |
37% |
=> use to convert extended <->
point (= no diffract <-> diffract) |
|
Planck constant [J*s] h |
6.63E-34 |
|
Pix size (") |
7.4 |
10.6 |
=> W ('^2) |
0.03 |
|
beam/pix (1D) theo |
0.46 |
0.63 |
|
|
|
|
Beam width factor (Fl) |
1.08 |
1.14 |
(convol(pix*diffr) see
my Mathcad or Griffin) |
|
beam/pix (1D) mes |
0.41 |
0.56 |
|
M1 Diameter [m] |
30 |
|
HPBW theory (bt) (") |
15.9 |
16.8 |
=> Wbt ('^2) |
0.06 |
Ko theo |
3.6 |
2.0 |
|
Xavier Ko=1/0.63^2 |
2.5 |
|
1)
Wavelength [mm] l |
2 |
|
HPBW measure (bm) (") |
18.0 |
19.0 |
=> Wbm ('^2) |
0.08 |
Ko mes |
4.7 |
2.5 |
=> Xavier uses square theo ?! |
|
Frequency [GHz] n |
150 |
|
|
Pix eff bm correct zpm |
9% |
17% |
<= the pixel samples Wbm/Wbt less bm
than bt |
Wbm/Wbt |
1.28 |
1.28 |
|
|
|
Diffraction Pattern FWHM [mrad] |
69 |
|
T venus|mars (K) |
232 |
205 |
Xavier Wb: |
0.15 |
How ?! >HPBW but <Dark
ring: |
|
0.47 |
|
|
|
Diffraction Pattern FWHM ["] |
14 |
|
Size venus|mars (") |
10.7 |
7.5 |
Xavier dilution factor: |
0.103 |
How does he get it ? |
|
(Mars/Beam)^2 = |
0.156 |
|
|
|
|
Dilution factor in beam |
0.135 |
0.060 |
Wplanet/Wb*z/x (=geom*part of diffr pattern in HPBW) |
*50% = |
0.078 |
*zb = |
0.057 |
|
|
Forward efficiency x (empiric fit) |
96% |
|
|
T venus|mars (K) |
31 |
12 |
beam |
Tbeam = Textended (no
diffr) giving same P |
Xavier (K): |
21.1 |
beam |
|
Beam efficiency b (Ruze, Airy dark ring) |
72% |
|
F venus|mars (Jy) |
338 |
147 |
<- F(kT/hn)| F(noc) -> |
145 |
noc |
28.0 |
~kT/hn |
28.5 |
|
2) Fraction
of unvigneted pupil diameter |
93% |
27.9 |
|
T/F venus|mars (K/Jy) |
0.69 |
1.40 |
planet (l^2/2kW) |
Xavier square Mars F(l=2mm)(Jy): |
184 |
F(l=2.1): |
167 |
|
Telescope effective area [m^2] A |
611 |
|
T/F beam (K/Jy) |
0.24 |
0.22 |
<=> no diffr
dilution <=> all F in beam |
Xavier T/F: |
0.13 |
|
square/round = |
1.3 |
|
|
|
Vigneted Diffraction Pattern
FWHM ["] |
15 |
|
F planet beam (Jy) |
129 |
56 |
using Tbeam <=> F(z) on array = F(extended_source=without_z) |
|
3) Pixel
angular size u [Fl] |
0.72 |
0.5 |
|
Tbeam/Fplanet (K/Jy) |
0.09 |
0.08 |
= T on array / F in space = T equivalent
extended / F point source |
|
Pixel solid angle in the sky [sr] W |
2.7E-09 |
1.3E-09 |
|
S/N pixel (Hz^0.5) |
500 |
706 |
S/Nb=S/Np*beam/pix |
pour LEKIDs je prend S/N
~ Fmars et NEFDmap comme Xavier, pas correct ! |
|
Throughput AW [mm^2sr] |
1.62 |
0.79 |
|
NET (mK/Hz^0.5) |
62 |
17 |
pixel (~mean HPBW) |
Xavier NETbeam =
NEFDmapbeam*Tb/Fp = |
15 |
|
AW/l^2 |
0.41 |
0.20 |
|
NET (mK/Hz^0.5) |
13 |
11 |
beam mes |
(poisson noise & square pix vs round
beam) |
NET beam theo: |
29 |
11 |
|
Pixel efficiency on
diffraction spot z |
22% |
12% |
|
NEFD (mJy/Hz^0.5) |
145 |
132 |
beam pt
source |
= au NEFD map car utilise le meme S/N
hybride (Fmars/NEFDbmap) |
|
|
4.4 |
8.3 |
|
NEFDext (mJy/Hz^0.5) |
55 |
50 |
beam extended <=> lack the x/z ratio to get standard NEFD (flux in space not on pixel !) verif: |
145 |
132 |
|
Number of detectors |
30 |
42 |
|
=> Tb/Fp = measured T / F in space, so
not F on the pix W which is x/z less due to the part of beam not
in HPBW, |
|
Array length ['] |
1.1 |
0.9 |
|
Calculations of MAP NEFD
from 2 LEKIDs observations |
so NEText deduced from NEFDpoint extracted
with map same as planet; |
|
Array solid angle Wa [sr] |
8.0E-08 |
1.1E-07 |
|
Map size ("^2) |
14400 |
8100 |
|
~OK if same observ mode, but planet and map
should be independent |
|
["] |
3388 |
4744 |
|
|
Mapping time (s) |
1050 |
1050 |
|
|
|
FOV diameter ['] |
Number pixels in FOV discs |
|
NEFDmap(mJy*s^0.5) |
275 |
201 |
(<= why flux of 3C345
is 4.348+/-0.013 and not +/-rms=0.006 ?) |
|
1 |
30 |
50 |
|
rms (mJy) |
|
8.5 |
6.2 |
Xavier (calcul): |
Xavier email (why not =
calcul ?): |
|
2 |
100 |
200 |
|
NEFDbeam |
133 |
130 |
211 |
206 |
190 |
|
3 |
220 |
440 |
|
S/N beam (Hz^0.5) |
1102 |
1130 |
|
my NEFDpix with NEFDmap
& HPBW => mean pix in HPBW, not central pix ! |
|
4 |
380 |
790 |
|
S/N pix |
|
696 |
715 |
mean on HPBW, not
central pix ! |
211 |
205 |
carré theo |
beam/mean vs
beam/central: |
|
6 |
850 |
1760 |
|
NEFDpix (meanHPBW) |
211 |
206 |
134 |
130 |
120 |
187 |
182 |
rond theo |
Wbm/Wp |
2.5 |
|
7 |
1160 |
2390 |
|
|
NEFDpix (centreHPBW) |
194 |
189 |
|
|
238 |
232 |
carré mes |
zb/zp |
1.7 |
|
8 |
1520 |
3130 |
|
scaling to 2 polar: |
NEFDbeam2pol |
94 |
92 |
|
211 |
206 |
rond mes |
zb/zpm |
2.1 |
|
10 |
2360 |
4880 |
|
Best det rms/2: b2p= |
47 |
46 |
S/N calculé avec Fmars,
devrait utiliser le S/N de la carte ! |
(pix sample less bm than
bt !) |
|
|
NEP: see below |
|
(Noise Equiv) Flux, T,
and P are same for MAP & planets only if same observing mode ! |
|
My simple ATM model |
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Based
on fits on ATM from Astro in Gildas, for the 50-400GHz range, with the error
constraint |Dt/t|<4% at 100kHz resolution in the
bands and 1MHz resolution in the atmospheric "walls", |
|
built
with Tatm = 275 K, Psea_level = 1015 mb, Altitude = Pico Veleta (Tau~P and
Tau~T^3 => wv has the strongest effect in the range of possible P and T, |
|
so my model
ignore dependence in T and P for simplicity) |
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|
Continuum |
|
|
|
|
|
Reference frequency nc [GHz] |
250 |
|
|
225 |
|
Water Vapor slope ac [1/mmwv] |
0.071 |
|
0.058 |
|
Dry continnum at nc bc |
0.005 |
|
0.004 |
|
|
|
|
Kinetic lines |
|
|
Central frequency no [GHz] |
58.2 |
60.2 |
118.7 |
183.3 |
325.1 |
368.5 |
380.2 |
|
Width ns [GHz] |
2.5 |
2 |
1 |
2.96 |
3.47 |
0.56 |
3.49 |
|
Central tau to |
3.2 |
11.5 |
9.4 |
2.2 |
2 |
1 |
19 |
|
Water power pl (0 = O2 line, 1 = H2O line) |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
|
|
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Gaussians
fitting groups of close-packeted lines |
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|
|
Central frequency no [GHz] |
58.1 |
62 |
65.3 |
440 |
|
Width ns [GHz] |
2.5 |
2.1 |
3.1 |
80 |
|
Central tau to |
17.6 |
20.2 |
0.2 |
0.13 |
|
Water power pl (0 = O2 line, 1 = H2O line) |
0 |
0 |
0 |
1 |
|
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Simple photometry
calculations |
|
(reminder for the units of NEP:
prefix "a" = atto = 10^-18) |
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Remarks
1: the RJ temperatures below are defined so that when used in the RJ
approximation formula of the brightness, the result = the unapproximated
Planck law |
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Remarks
2: the Power formula below assumes constant T (brightness) and h (overall efficiency) in the
integration over the bandwidth => correct @ <2 % error in the mm
atmospheric windows for T>2K |
|
Remarks
3: the NET and NEFD are given for a choosen observing mode and for one pixel,
their value for a standard size (beam of HPBW) is given at the end of the
sheet |
|
|
(Blockage M2 & quadurpod,
leackage) |
97% |
|
4) Cabin
optics transmission (M>2) |
94% |
|
5) Cryostat
300K transmission |
90% |
85% |
<= total warm parts |
|
6) Cryostat
77K transmission |
86% |
|
|
|
7) Cryostat
4K transmission |
86% |
|
|
8) Band
pass filter transmission |
95% |
70% |
<= total cold parts |
|
9) Detector
absorbtion efficiency |
60% |
36% |
<= total optical chain |
Deff such as h = 30% (Alessandro, and used by
Xavier) |
|
Global optical efficiency h |
33% |
Discussion with
Alessandro and Markus about Markus 05/2010 measures: LEKIDs used are
Deff>~65% for a Dn~20GHz !! |
|
|
[NE/Hz^0.5] =
caracteristic of detector, [NE*s^0.5] = characteristic of observation =>
[NE*s^0.5] = (time_loss * 2{signal-bkg_ref} /
2{sample_freq_to_integr_time})^0.5 *[NE/Hz^0.5]) |
|
10)
Bandwidht [GHz] Dn |
40 |
<= NOT SURE: mesures
Markus directly on pixels response 05/2010 = 20GHz, mesures in FTS (Martin
Pupplet) before run 1 = 40 GHz limited by band-pass filter |
|
Band pass min freq [GHz] |
130 |
|
Dn/n |
13% |
27% |
|
30% |
Verif Xavier mail
(28/5/2010) |
|
P[pt]=exp(-t)[z/x](2AWh/p)kTDn/l^2=exp(-t)[z/x]AhFDn/p |
|
Band pass max freq [GHz] |
170 |
|
Dn (GHz) |
20 |
40 |
|
45 |
|
|
A (tel) or Aeff (pupil) ?: |
707 |
611 |
|
Band pass min wave [mm] |
2.3 |
|
zb (HPBW) |
37% |
|
|
50% |
<= HPBW gaussian
volume ? Besides Xavier counts h*z = 60%*50% = 30% not good ! |
|
Band pass max wave [mm] |
1.8 |
|
Pmars(pW) beam |
0.96 |
0.96 |
1.92 |
geom: |
7.60 |
7.73 |
<= P calculated with
F(noc) or (kT/hn) ? |
|
Bandwidth [mm] |
0.54 |
|
Power dilut diffr pattern: (zpm/zb) |
0.47 |
Wp/Wbm |
0.40 |
0.21 |
<= I guess Xavier
uses geometry only Wp/Wb (with his 0.15'^2 ?!) and not the
beam shape, so keeping his zHPBW |
|
Pmars(pW) pix central |
0.45 |
0.91 |
verif Pb/Ko: |
1.59 |
1.62 |
<= some info missing
in Xavier email => my reconstruction of his calcul is speculative |
|
11) Degree
of polarization |
1 |
|
Pmars(pW) pix mean |
0.38 |
0.77 |
0.38 |
0.93 |
1.7=3.6/5*2.3 I don't
understand this central pix to mean pix in beam factor, =me by chance ? |
|
Polarization parameter p |
2 |
|
detector mean NEP
[aW/Hz^0.5] |
770 |
1540 |
|
1505 |
<=
2^0.5*Pmpix*NEFDpix/Fmars, I disagree with 2^0.5 (see
above) & remark
NEFDmap vs NEFDplanet |
|
|
|
770 |
770 |
<= verif NEPd =
Pd/(S/N) = Pd*Ko^0.5*NEFDb/F = Pd*NEFDd/F (remark NEFDmap
vs NEFDplanet) |
|
monomode or coherent or extended source: C = 1 ; multimode and
incoherent point source: C ~= l^2/AW = 4/(pu^2) if u>3, C ~=
exp(-(0.6*u^((u+2)/(u+1))) if 0<u<3 (empricial approx by me). C can't
be >1. |
|
12) Spatial
coherance factor C |
1.0 |
0.7 |
2.5 |
|
836 |
1673 |
<= NEP central
detector = Pd*NEFD/F |
|
|
|
|
|
|
13)
Observing mode useful time ratio |
200% |
|
NEPc/m |
1.09 |
|
Pc/m |
1.18 |
|
NEFDc/m |
0.92 |
|
Observing mode efficiency g |
0.71 |
|
(zpm/b / Wp/bm)^0.5 |
1.09 |
|
(zpm/b / Wp/bm) |
1.18 |
|
1/(zpm/b / Wp/bm)^0.5 |
0.92 |
|
|
|
|
NEP
to NET = T/P(T) = Q/exp(-t) ;
NEP to NEFD = F/P(F) = J/exp(-t) (Q and J are defined such that they don't depend on the
atmospheric conditions) |
|
Q = pl^2/(2kAWhDn) [K/pW] |
13 |
28 |
|
13 |
|
27 |
|
17 |
|
|
J = px/(AhzDn) [Jy/pW] |
108 |
204 |
|
275 |
Jm>J det samples less
bm than bt |
275 |
|
192 |
|
|
T/F: (Q/J)(x/z) = (l^2/2kW) =
D^2/2ku^2 [K/Jy] |
0.5 |
1.1 |
F/T |
1.8 |
0.9 |
<= this T/F and F/T
are without diffraction effects |
|
x/z |
4.4 |
8.3 |
<= this factor must be
used to count diffraction effect for point sources (generaly used with F) |
|
Atmosphere |
|
|
14)
Atmosphere temperature (Ta) [K] |
275 |
|
Black body occupation number
at n |
38 |
|
|
Brightness for frequencies
[fW/m^2/Hz/sr] |
1.9 |
|
|
(RJ approx brightness
[fW/m^2/Hz/sr]) |
1.9 |
|
|
Black body RJ temperature T
[K] |
271 |
|
|
|
|
15)
Elevation [deg] |
72 |
|
Airmass |
1.05 |
|
|
|
|
16)
Precipitable water vapor (wv) [mm] |
5 |
|
Opacity tau meter (225GHz) |
0.29 |
|
|
Opacity tau meter (225GHz) |
0.29 |
|
|
Opacity components for each band: |
|
Atm continuum only |
0.130 |
|
Atm O2 kinetic lines |
0.007 |
|
Atm H2O kinetic lines |
0.020 |
|
Atm O2 gaussian bunch |
0.000 |
|
Atm H2O gaussian bunch |
0.000 |
|
Atm total t (including airmass) |
0.16 |
0.85 |
<= transmission |
|
Emissivity |
15% |
|
|
Spectral radiance of
atmosphere [fW/m^2/Hz/sr] |
0.28 |
|
Atmos emission T RJ [K] T |
41 |
|
|
Power [pW] P=(2AWh/p)kTDn/l^2 |
3.1 |
1.5 |
|
|
|
|
NEPp = (2hnP)^0.5 [aW/Hz^0.5] |
25 |
17 |
|
NEPb = P(pC/Dn)^0.5 [aW/Hz^0.5] |
22 |
10 |
|
NEP |
33 |
20 |
|
|
NETp = gNEPpQ/exp(-t)
[mK*s^0.5] |
0.28 |
0.40 |
|
NETb = gNEPbQ/exp(-t)
[mK*s^0.5] |
0.24 |
0.24 |
|
NET |
0.37 |
0.47 |
|
|
NEFDp = gNEPpJ/exp(-t)
[mJy*s^0.5] |
2.2 |
2.9 |
|
NEFDb = gNEPbJ/exp(-t)
[mJy*s^0.5] |
1.9 |
1.8 |
|
NEFD |
2.9 |
3.4 |
|
|
|
|
Spillover |
|
|
Temperature of environment
behind M1 [K] |
275 |
|
|
Emissivity |
4% |
|
Spectral radiance of behind
M1 [fW/m^2/Hz/sr] |
0.08 |
|
T RJ [K] |
11.3 |
|
fraction received |
1.4% |
|
Power [pW] P=(2AWh/p)kTDn/l^2 |
0.9 |
0.4 |
|
|
|
NEPp = (2hnP)^0.5 [aW/Hz^0.5] |
13 |
9 |
|
NEPb = P(pC/Dn)^0.5 [aW/Hz^0.5] |
6 |
3 |
|
NEP |
15 |
10 |
|
|
NETp = gNEPpQ/exp(-t)
[mK*s^0.5] |
0.15 |
0.21 |
|
NETb = gNEPbQ/exp(-t)
[mK*s^0.5] |
0.07 |
0.07 |
|
NET |
0.16 |
0.22 |
|
|
NEFDp = gNEPpJ/exp(-t)
[mJy*s^0.5] |
1.2 |
1.6 |
|
NEFDb = gNEPbJ/exp(-t)
[mJy*s^0.5] |
0.6 |
0.5 |
|
NEFD |
1.3 |
1.6 |
|
|
|
|
300K optics |
|
|
(17) Mean
surface temperature [K] |
280 |
|
Black body occupation number
at n |
38 |
|
|
Black body RJ temperature T
[K] |
276 |
|
Emissivity mirrors / cryostat |
5.9% |
9.8% |
15% |
<= emissivity of
system mirrors + cryostat |
|
Spectral radiance of mirrors
[fW/m^2/Hz/sr] |
0.11 |
|
|
|
Spectral radiance of warm
optics [fW/m^2/Hz/sr] |
0.19 |
|
|
|
T RJ for mirrors [K] |
16.2 |
|
|
T RJ for cryostat warm optics [K] |
27.0 |
|
41.5 |
<= system mirrors +
cryostat |
|
For P: apply x to mirrors (correct or not ?) but not to cryostat 300K |
|
Power [pW] P=(2AWh/p)kTDn/l^2 |
3.8 |
1.9 |
|
details of P: mirror /
cryostat for u(col_1) only |
1.3 |
2.5 |
|
3.9 |
3.7 |
<= for u(col_1) only:
system mirrors + cryostat with/without x |
|
NEPp = (2hnP)^0.5 [aW/Hz^0.5] |
28 |
19 |
|
NEPb = P(pC/Dn)^0.5 [aW/Hz^0.5] |
27 |
13 |
|
NEP |
39 |
23 |
|
|
NETp = gNEPpQ/exp(-t)
[mK*s^0.5] |
0.31 |
0.45 |
|
NETb = gNEPbQ/exp(-t)
[mK*s^0.5] |
0.31 |
0.31 |
|
NET |
0.44 |
0.54 |
|
|
NEFDp = gNEPpJ/exp(-t)
[mJy*s^0.5] |
2.5 |
3.3 |
|
NEFDb = gNEPbJ/exp(-t)
[mJy*s^0.5] |
2.4 |
2.2 |
|
NEFD |
3.5 |
4.0 |
|
|
|
|
77K stage |
|
|
Temperature cryostat optics
on N2 stage [K] |
77 |
|
|
Black body occupation number
at n |
10 |
|
|
Black body RJ temperature T
[K] |
73 |
|
Emissivity |
14% |
|
Spectral radiance of N2 stage
[fW/m^2/Hz/sr] |
0.07 |
|
T RJ for [K] |
10 |
|
|
Power [pW] P=(2AWh/p)kTDn/l^2 |
1.1 |
0.6 |
|
|
NEPp = (2hnP)^0.5 [aW/Hz^0.5] |
15 |
11 |
|
NEPb = P(pC/Dn)^0.5 [aW/Hz^0.5] |
8 |
4 |
|
NEP |
17 |
11 |
|
|
NETp = gNEPpQ/exp(-t)
[mK*s^0.5] |
0.17 |
0.24 |
|
NETb = gNEPbQ/exp(-t)
[mK*s^0.5] |
0.09 |
0.09 |
|
NET |
0.19 |
0.26 |
|
|
NEFDp = gNEPpJ/exp(-t)
[mJy*s^0.5] |
1.4 |
1.8 |
|
NEFDb = gNEPbJ/exp(-t)
[mJy*s^0.5] |
0.7 |
0.7 |
|
NEFD |
1.5 |
1.9 |
|
|
TOTAL BACKGROUD |
|
|
|
Power [pW] |
9 |
4 |
|
|
|
NEPp = (2hnP)^0.5 [aW/Hz^0.5] |
42 |
29 |
|
NEPb = P(pC/Dn)^0.5 [aW/Hz^0.5] |
63 |
31 |
|
NEP [aW/Hz^0.5] |
76 |
42 |
|
NEPdet_c/NEPbkg |
11.0 |
|
|
|
|
|
|
NETp = gNEPpQ/exp(-t)
[mK*s^0.5] |
0.47 |
0.68 |
|
|
|
NETb = gNEPbQ/exp(-t)
[mK*s^0.5] |
0.71 |
0.71 |
|
NETdet/NETbkg |
20.3 |
*((zpm/zb)*(Wbm/Wp))^0.5 |
|
NET [mK*s^0.5] (extended) |
0.85 |
0.98 |
|
(point) |
3.7 |
8.1 |
|
22.0 |
|
|
|
x/z = |
4.36 |
|
NEFDp = gNEPpJ/exp(-t)
[mJy*s^0.5] |
3.8 |
5.0 |
|
NEFDb = gNEPbJ/exp(-t)
[mJy*s^0.5] |
5.7 |
5.2 |
|
NEFDdet_c/NEFDbkg |
28.2 |
* zpm/zp |
22.1 |
|
NEFD [mJy*s^0.5] (point) |
6.81 |
7.2 |
6.81 |
(extended) |
1.6 |
0.9 |
|
|
|
TOTAL
BACKGROUD for a standard elementary size |
|
|
(18)
Standard elementary size us
[Fl] |
1.14 |
|
(19)
spatial coherence factor Cs |
1 |
(<= extended source) |
0.5 |
1.0 |
(<= incoherent point
source approxs : u<3 and u>3) |
|
Diffractive gaussian
efficiency zs |
43% |
|
zs/z |
1.97 |
|
|
P ~
(us/u)^2 [pW] |
22.4 |
22.4 |
|
|
|
|
NEPp ~ (us/u) |
67 |
67 |
|
NEPb ~ (us/u)^2*(Cs/C)^0.5 |
159 |
159 |
|
|
|
NEP [aW/Hz^0.5] |
172 |
|
|
|
|
|
|
NETp ~ 1/(us/u) |
0.30 |
0.30 |
|
NETb ~ (Cs/C)^0.5 |
0.71 |
0.71 |
|
NET [mK*s^0.5] (extended) |
0.77 |
|
|
(point) |
1.7 |
|
|
T/F = |
0.22 |
x/zs = |
2.21 |
|
|
|
NEFDp ~ (us/u)/(zs/z) |
3.0 |
3.0 |
|
|
|
NEFDb ~ (us/u)^2*(Cs/C)^0.5/(zs/z) |
7.2 |
7.2 |
|
|
|
NEFD [mJy*s^0.5] (point) |
7.8 |
|
|
(extended) |
3.5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|