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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

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