1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ... 1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
k k(α1) = h tg[β(α1)] − tg[β(α0)] tg(α1) − tg(α0) k = lim [k(α1)] = lim h α1→α0 α1→α0 tg[β(α1)] − tg[β(α0)] tg(α1) − tg(α0) ¥ α1 → α0 ′ (tg ◦ β) = h tg ′ = (α0) = h (cos −2 ◦β) · cos 2 ·β ′ (α0) = h cos2 (α0) cos 2 [β(α0)] β′ (α0) β β(α) = arcsin[sin(α)/n] ′ β (α0) cos2 [β(α0)] β ′ = arcsin ◦ sin ′ = n 1 1 − sin n cos 2 ◦β = 1 − sin 2 ◦β = 1 − sin 2 ◦ arcsin ◦ sin n · 2 1/2 1 · cos = n = 1 − cos n2 2 − sin , 1/2 2 sin n = n2 − sin 2 n2 . k k = h n 2 cos 3 (α0) [n2 − sin 2 . (α0)] 3/2 ¨¤ § ¥ n R λ R r d(r)
¥ r n λn = λ/n § ∆φ(r) = 2d(r) 2π λn − π = 4πd(r)n λ £ d(r) ¥ 2π ∆φ(r) = 2πm d(r) d(r) = (2m + 1)λ . 4n − π, √ d(r) = R − R2 − r2 R − R2 − r2 (2m + 1)λ = . 4n rm = 2m + 1 λR − 2n 2m + 1 4n π 2 λ2 2m + 1 ≈ 2n λR, R ≫ λ ¥¥ ¨¤ § λ ¥ P ¥ R2 UFresnel(L) = C eikL L S R1 P r2 ik U(r)e 2L d 2 r, k = 2π/λ C = k/(2πi) L S U(r) r IFresnel(L) = |UFresnel(L)| 2
- Page 1 and 2: ¡£¢¥¤§¦©¨¦©¨¨¤ ¥¢¦
- Page 3 and 4: § £ £ p + an2 V 2 (V −
- Page 5 and 6: p 1 2 V1 ¥ izoterma T 2 adiabata
- Page 7 and 8: § − 1 ∂ V ∂V ∂T p ∂
- Page 9 and 10: § ∂T ∂p ¥ ¥ −SdT + V
- Page 11 and 12: Cp T ∂ (S, p) ∂ (S, p) ∂ (T,
- Page 13 and 14: § ¥ M = C CH − CM χT = 1
- Page 15 and 16: ¨¤ § ¥§ ¥ r £ d n >
- Page 17: § θB sin θh = η = 1.28 s
- Page 21 and 22: ¥ 1 2π 2π e 0 −ix cos φ d
- Page 23 and 24: d n ′ nθ = nθ y ′ d y = y
- Page 25: TR1 = 1 0 1 , Td = 1 d n 0 1 ,
¥ <br />
r <br />
n<br />
λn = λ/n §<br />
<br />
∆φ(r) = 2d(r) 2π<br />
λn<br />
− π = 4πd(r)n<br />
λ<br />
£<br />
d(r) ¥<br />
<br />
2π ∆φ(r) = 2πm<br />
d(r) <br />
d(r) =<br />
(2m + 1)λ<br />
.<br />
4n<br />
− π,<br />
√ <br />
d(r) = R − R2 − r2 R − R2 − r2 (2m + 1)λ<br />
= .<br />
4n<br />
<br />
<br />
<br />
rm =<br />
<br />
2m + 1<br />
λR −<br />
2n<br />
2m + 1<br />
4n<br />
π<br />
2 λ2 <br />
2m + 1<br />
≈<br />
2n λR,<br />
<br />
R ≫ λ<br />
¥¥<br />
<br />
<br />
<br />
¨¤<br />
<br />
§<br />
<br />
λ<br />
<br />
¥<br />
<br />
P<br />
<br />
¥<br />
R2<br />
UFresnel(L) = C eikL<br />
L<br />
<br />
<br />
S<br />
R1<br />
P<br />
r2 ik<br />
U(r)e 2L d 2 r,<br />
<br />
k = 2π/λ C = k/(2πi) L S U(r)<br />
r IFresnel(L) = |UFresnel(L)| 2
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