SCUBA-2 with FTS and 80K blackbody source
SCUBA-2 with FTS and 80K blackbody source
SCUBA-2 with FTS and 80K blackbody source
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net :=<br />
Tel ⋅Tel<br />
rows( Tel_optics)<br />
+ 1,<br />
4 rows( Tel_optics)<br />
+ 1,<br />
3<br />
Tel 4 7<br />
,<br />
<strong>FTS</strong>nettrans := net⋅<strong>FTS</strong>trans <strong>FTS</strong> photon NEP:<br />
pn<strong>FTS</strong>i :=<br />
Total squared photon NEP for both sides of <strong>FTS</strong> <strong>and</strong> <strong>blackbody</strong><br />
pn<strong>FTS</strong> 10 32 −<br />
⋅<br />
Photnoise2 ε<strong>FTS</strong> i ν<br />
watt<br />
=<br />
Hz<br />
i := 0.. 12<br />
( , , Δν , Tel , T<br />
4, 5 <strong>FTS</strong>i,<br />
nt<br />
i)<br />
1032<br />
Hz<br />
⋅<br />
watt 2<br />
0<br />
1<br />
2<br />
3<br />
4<br />
5<br />
6<br />
7<br />
8<br />
9<br />
10<br />
11<br />
12<br />
( ) 2 1032Hz ⋅<br />
:= PhotonNoiseMather Tel ⋅pW, ν , <strong>FTS</strong>nettrans⋅0.2, <strong>FTS</strong>load<br />
4, 6<br />
T<br />
Tel 10<br />
4, 7<br />
32 − watt<br />
⋅ ⋅ 6.466 10<br />
Hz<br />
17 − watt<br />
= ×<br />
Hz<br />
0<br />
3.718<br />
0.491<br />
1.577<br />
0.505<br />
0.505<br />
0.506<br />
0.506<br />
0.507<br />
0.507<br />
0.509<br />
0.509<br />
1.637<br />
0.741<br />
10 17 − watt<br />
Hz<br />
net transmission from pickoff mirror to detector<br />
Net transmission through full <strong>FTS</strong> to detector<br />
watt 2<br />
Method 2: Squared Photon NEP for each <strong>FTS</strong> element, using Waynes NEP equation<br />
<strong>FTS</strong> photon NEP:<br />
⎛<br />
⎜<br />
⎝<br />
∑<br />
i<br />
pn <strong>FTS</strong>i<br />
<strong>FTS</strong>nettrans = 0.231<br />
Compute the net transmission for each element (one side of <strong>FTS</strong>), working back from the feed optics<br />
Method 1: Total Photon NEP from <strong>FTS</strong>, approximated using total <strong>FTS</strong> loading <strong>and</strong> estimate of average emissivity<br />
⎞⋅<br />
⎟<br />
⎠<br />
T<strong>FTS</strong> :=<br />
⎛<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎜<br />
⎝<br />
<strong>FTS</strong>load T<br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
2<strong>80K</strong><br />
⎞<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎠<br />
<strong>FTS</strong> temperatures<br />
net = 0.528<br />
ε<strong>FTS</strong> :=<br />
10 32 − watt<br />
⋅ 4.673 10<br />
Hz<br />
17 − watt<br />
= ×<br />
Hz<br />
⎛ ⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝<br />
1<br />
εM<br />
εBS<br />
εM<br />
εM<br />
εM<br />
εM<br />
εM<br />
εM<br />
εM<br />
εM<br />
εBS<br />
εM<br />
⎞<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎠<br />
nt :=<br />
<strong>FTS</strong> emissivities<br />
⎛ ⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝<br />
2Tr BS 2 TrM 5<br />
2Tr BS 2 TrM 5<br />
2Tr BS Tr M 5<br />
Tr BS Tr M 4<br />
Tr BS Tr M 4<br />
Tr BS Tr M 3<br />
Tr BS Tr M 3<br />
Tr BS Tr M 2<br />
Tr BS Tr M 2<br />
Tr BS Tr M<br />
Tr BS Tr M<br />
Tr M<br />
1<br />
⎞<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟⋅<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎟<br />
⎠<br />
net<br />
<strong>FTS</strong> net transmissions