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SCUBA-2 with FTS and 80K blackbody source

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8. Variation of NEFD <strong>and</strong> total background power <strong>with</strong> sky transmission<br />

Compute, background <strong>and</strong> photon noise for the instrument (this is fixed irrespective of the PWV)<br />

k := 2.. ( nr − 2)<br />

Pinst := ⎛ Tel ⎞⋅pW Total instrument background power ⎜ k, 6⎟⎠<br />

Pinst = 10.21pW<br />

⎝ k<br />

Total instrument NEP NEP inst<br />

:=<br />

⎛<br />

⎜<br />

⎝<br />

∑<br />

k<br />

⎞<br />

⎟<br />

⎠<br />

∑<br />

0.5 − 16 watt<br />

Tel ⋅10<br />

⋅<br />

k, 7<br />

Hz<br />

NEPinst 7.46710 17 − watt<br />

=<br />

⋅<br />

Hz<br />

Now vary the airmass (in order to vary the sky transmission) <strong>and</strong> calculate the background power, photon noise<br />

limited NEP <strong>and</strong> NEFD for a range of sky transmission.<br />

airm :=<br />

⎛<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎜<br />

⎝<br />

1<br />

1.3<br />

1.6<br />

2.1<br />

2.6<br />

3.2<br />

3.9<br />

4.7<br />

5.6<br />

6.6<br />

7.7<br />

8.9<br />

10.2<br />

11.5<br />

13<br />

15<br />

⎞<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎟<br />

⎠<br />

pwv1 := 0.5<br />

( )<br />

Telpower( am)<br />

p am kg m 2 sec -3<br />

:= ← ⋅<br />

for x ∈ 0.. ( rows( am)<br />

− 1)<br />

p<br />

( )<br />

p ← P<br />

x water am , pwv1,<br />

Tel ⋅K,<br />

ν , Δν , Tel ⋅Tel<br />

x 1, 1<br />

1, 4 1, 5<br />

( )<br />

NEPph( am)<br />

nepph am kg m 2 sec -2.5<br />

:= ← ⋅<br />

for x ∈ 0.. ( rows( am)<br />

− 1)<br />

( ) 0.5<br />

nepph ← Photnsq am , pwv1,<br />

Tel ⋅K,<br />

ν , Δν , Tel ⋅Tel<br />

, Tel<br />

x<br />

x 1, 1<br />

1, 4 1, 5 1, 5<br />

nepph

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