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Lecture 10: Bolometers - Leiden Observatory

Lecture 10: Bolometers - Leiden Observatory

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etermining responsivity at V0<br />

The resistance at the point V0 is:<br />

Z = R<br />

The local slope is:<br />

If you now rewrite Z as follows.....<br />

Z = dV<br />

dI<br />

Detection of Light: <strong>Lecture</strong> <strong>10</strong><br />

d(log P )<br />

d(log R)<br />

H +1<br />

H 1<br />

= R d(log V )<br />

d(log I)<br />

= 1<br />

I 2<br />

R0 = V0/I0<br />

(dI/dV )0 =1/Z0<br />

= R<br />

dP<br />

dR<br />

so H = Z + R<br />

Z R<br />

d(log P )<br />

d(log R) +1<br />

d(log P )<br />

d(log R) 1<br />

...we can now find an expression for d(log P)/d (log R):<br />

= 1<br />

I 2<br />

G = P<br />

T<br />

dP<br />

dT<br />

dT<br />

dR =<br />

(T )= 1<br />

R<br />

G<br />

(T )I 2 R<br />

dR<br />

dT<br />

= G<br />

(T )P<br />

= H<br />

P = V ⇥ I = I 2 R<br />

Z and R can be measured, so we can get<br />

H, then back to determine G and a(T)

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