Les télescopes infrarouges I- Détection de rayonnement infra

f(r, θ, z)
−−→
gradf =∂f
∂r −→
er+1
r
∂f
∂θ −→
eθ+∂f
∂z −→
ez
x x = 0 (1 + x)α
(1 + x)α≈1 + αx +1
2α(α−1) x2
λmaxT=
2,89.10−3K·mλmax T
Cth Φi
R(T)T I
T0
Gth
V R
R
R(T) = R0+αR0(T−T0)
α < 0R0
λmax T
P C P C∗
1P C∗ 2
◦

I
T τ dT
dt +T=β(Φi)
τ β(Φi)
α
Φi
t= 0
T(t)τ
Cth Gth
S
V
Φi(t) = Φi0+ϕ0cos (ωt)
T1Θ(t) = T(t)−T1
Θ0(ω)
Θ0=A
√1 + τ2ω2A
V0V(t)R
P C P C∗
1P C∗ 2
◦

S(ω) = V0
ϕ0
SdB = 20 logS (log ω)
Gth
A B iA= 0 iB6= 0
i0
Ai0 B
λ=
2,0µmf0
1f0 2f0 1
A B
R
λ
∆θ
i0
A±∆θ i0 B±∆θ
i0
Ai0 B
imin
a100 m T1T2
Oz
O f0F0
T1T2a
2
A
λ= 2,0µm
A0A
δ0A A0
T1T2
P C P C∗
1P C∗ 2
◦

z
O
T1
T2
F0
x
P C P C∗
1P C∗ 2
◦

IA(x)x
(xF 0y)
B iB6= 0
xOz A
xBF0B
IB(x)x
A B iA= 0 iB6= 0
xOz
λ=
2,0µm
IASB(x)x
a
iB
imin
L2
R0S T S, ~ux, ~uy, ~uz
L2
L2rR
x
y
S
•T •
R
L2
•
r
L2
T MT= 5,97 ×1024 kg
R= 150×106km S MS= 1,99×1030 kg
RhTT
G
P C P C∗
1P C∗ 2
◦