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Optical Sources, Detectors, and Systems by Robert H. Kingston

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Appendix A: Answers to Problems
1.1 (a) 3.2x10-^^
(b) r = 7.9 xlO^ photons/sec
1.2 du =
2hvdv IkTdv
c(e^y/^T
^i)^ c
1.3 P = 128 W;r =
6.45xld^^
photons/sec
1.4 e = 0.49
1.5 dT = 7.5K
1.6 T(mercujy) = 483 K
T(Pluto) = 47.7K
1.7 Gfi = 6.13 W/m^K
1.8 T=820K
1.9 (l/P)(dP/dT) = 0.016 K-i
1.10 N = 2.1x10^^ photons
1.11 NEAT = 1.3 X10-^ K
1.12 N/A = 8.6 X
10^^
photons/cm2
1.13 Q.E.D.
1.14 Tungstm,2.9%
Halogen, 5 %
1.15 T = 904K
1.16 r = 1.1x10^^ photons/sec
2.1 Q.E.D.
2.2 (a) 2.3 A, 86 GHz
0>)rt=23.4cnr^
2.3 X^^ = 69fim
3.1 X=76A,a = 4.6A
3.2 r]ext = [Mfim)ll24]P/I
3.3 T = 18540 K
3.4 ia)D = 4.9km
Qj)D = 3fim
4.1 (a) i^ =3.9xlO-^^A^
0))is=^1.9xlO-^ATA
ic) NEAT = 3.3 X10-^ K
4.2 il=lxl(r^^A^
NEAT = 33xl(r^K
4.3 Q.E.D.
4.4 St^nMEIllA/W
1.24
4.5
(a)
Rjn = 231 a Ti^
=
22K
(\)){in)^f = 23pAl^z
(c) NEP = 2.85 X
10-^0
w
5.1 NEP = 3.3xl0-^W
5.2 t) = 0.0014
5.3 (a)r] =
a-e-«rf;
(\>)d = 0.693/a
5.4 (NEP)sL = 2rhvB/Ti
hv
(NEP)DI=
—J2qn^B
7]q
5.5 G = 1.14xl(P
5.6 T = 253K
5.7 (a) Rin =
231
a T^ = 84.8 K
(b) (f^)^ = 4.5 X 10-^2 ^/Hz3/2
(c)
(NEP)j^^
= 5.6 xlO-^o Y/
5.8 (a)
1^
= 6.7x10^ A
Qo)
(NEP)j^l = l.l xlO-^ W
ic)P^JNEP = 7500
191
192
Appendix A
5.9 (a)|2 =
2^FM2/soB
+ ^^
M + JM^ + =
(b)/so
=
^FB+jr^™2+ig^
M Kir,
(c)NEP =
2.65x10-^^
{d)(NEP)^„=3.7xmsw
7.2 (a) Sensitivity = - 59.2 dBm
(b) R = 296 km
7.3 ia)Ps =
4.6xlO-^0\^
(b)NEP =
3.6xia-n
7.4
G^4Ailf^X^
'•'
'^'hiT-^'"'^
(c) (il)shot =2.6x10-^^ A^
6.2 Q.E.D.
6.3
(a=
Y^
2^VBJN+—^
7.1 (a) dW/(iT = 0.19 W/m^K
(b) iPs/tiT = 4.8 X
10-^0
w/K
(c)NEP = 3 xlO-^Oy^
(d) ^T =
2.1
K
7.5 pn,0] = 0.019
7.6 U =
7.5xia7j,P
= 60W
7.7 (a)Av = 76MHz
(b) A =
0.81
mm^
(c) Ps = 7.7 xl0-^^W,p = 0.01
(d)(S/N)p = 28 = 14.5dB
7.8 (a)Ps = 2.1xlO-^W
Q:>)(S/N)p
= 240
ic)Pio»2.9mW

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