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(2)牛顿环
CAI
1675年
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2
2
λ
δ += e CAI
2
)12(
2
2
λλ
+=+ kek
λ
λ
kek =+
2
2 明纹
暗纹
2222
2)( eeReRRr −=−−=
eR >> 2
2 eeR >>
R
r
e
2
2
=
R
r
e k
k
2
2
=
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牛顿环半径 CAI
2
)12( λRk
rk
−
=
明环
),2,1( L=k
λkRrk =
r
暗环
),2,1,0( L=k
λmRrr kmk =−+
22
λmRDD kmk 422
=−+
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4. 迈克耳孙干涉仪
A. A. 迈克耳孙,1907 年获诺贝尔物理学
奖,创造精密的光学仪器和用以进行光谱
学度量学的研究,并精确测出光速。
Albert Abraham Michelson
(1852 ~ 1931)
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迈克耳孙—莫雷实验
分束板
G2 补偿板
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b a
a1
a2
b1
b2
a1
a2
1M′
2M
1M
ab
a1
a2
a1
a2
b1
b2
2M
1M′
1M
x∆δ <≤0 The fringes will occur
x∆δ > The fringes will vanish
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分束板 补偿板
t
k-1
k-2
2
M
1M′
λθδ kt i == cos2
λγδ ktn == cos2
↓⇒↓ it θ
t
2M
1M′
k
k-1
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// M21M′
当 t 连续改变时干涉条纹如何变化?
同心圆环状的等倾干涉条纹
the mirrors are perpendicular to each other
若 和 M2有小夹角1M′
CAI
等厚干涉条纹
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1′ 2′
十字叉丝
it θδ cos2=
M1
′
2M
k+1 k k-1
1+k
t
k
t
1−kt
光束 2′1′ 和 的光程差
1cos
注视某级亮条纹
在小范围观察的条件下 ≈iθ
λθ kt i =cos2
λkt =2
等厚干涉条纹
若 和 M2有小夹角1M′
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十字叉丝
kt ∆∆2 λ=λkt =2
kt ∆
λ
∆
2
=
1′ 2′
每当 改变 时t
2
λ
1=k∆
有一条条纹移过参考标记
条条纹移过标记N
2
λ
∆ ⋅= Nt
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当把折射率为n=1.40的薄膜放入迈克尔孙干涉仪的一
臂时,如果产生了7.0条条纹的移动,求薄膜的厚度。
(已知钠光的波长为λ = 589.3nm)
t
λ∆ktn =− )1(2
)1(2 −
⋅
=
n
k
t
λ∆
λ∆δ∆ k=λδ k=
m10154.5
)14.1(2
103.5897 6
9
−
−
×=
−
××
=
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§15.4 偏振光的干涉
1P
2P
E
r
x
αcosEEe = αsinEEo =
βcos2 ee EE =
)
2
cos(2 β
π
−= oo EE
A
*
S
βαsinsinE=
o
y
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E
r 1P2P
αβ
oE
eE
2oE
2eE
O
A
x
y
)
2
cos(sin β
π
α −= E
βαcoscosE=
光轴位于 P1、P2 之间
π
λ
π
ϕ∆ +−= )(
2
eo nnd
光轴位于 P1、P2 之外
)(
2
eo nnd −=
λ
π
ϕ∆
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⎩
⎨
⎧
+−=
0
)(
2 π
λ
π
ϕ∆ eo nnd 21 PP ⊥
21 P//P
干涉减弱21 PP ⊥
πϕ∆ )12( 11 += k
某一厚度处
1λ
干涉加强
πϕ∆ 22 2k=2λ
21 P//P
πππϕ∆ 111 2)12( kk =−+=1λ
同一处
πππϕ∆ )12(2 222 −=−= kk2λ
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