Рудакова Л.И., Соколова Е.Ю. Практический курс физики. Волновая оптика
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71
2
cos4
2
1
ϕ
∆
= II
.
Χ ( .1).
π
ϕ
=
∆
2
;
. .
π
λ
π
π
mnd =∆+
2
, m – .
:
( )
;1
2
;
2
12
11
π
λ
ππ
π
λ
ππ
+=∆+
=∆+
mnd
mnd
λ
=
∆
−
ndd )(
12
.
xdd ∆=−
α
12
,
12
xxx
−
=
∆
-
.
α
λ
⋅∆
=∆
x
n
3.11.
, ,
.
,
η=
0,25
,
α=
20 .
./ .
72
.
,
01
I
2
1
I =
.
1
I
,
β
,
min
x
∆
=
α
β
,
min
x∆
- .
2
I
,
,
).90(cosII
02
12
β
−=
,
)x(sinI
2
1
I
min
2
02
∆α
=
;
25,2
I
I2
arcsin
1
x
0
2
min
==
α
∆
.
73
.
1.1.
,
:
II
2
1
=
.
max
I
.
.
1.2.
(
1
I
2
I
) ,
. .
1.3.
,
=
22
2
1
II .
.
.
1
2
I
I
.
1.4.
,
=
11
4
1
II .
.
2
1
I
I
.
1.5.
.
2
λ
=d
. .
θ, : )
, ) .
,
.
λ.
74
1.6. θ 1.5
?
1.7. 1.5
.
1.8. 1.5
λ
=
d
.
1.9. 1.5
λ
=
d
.
1.10. 1.5
λ
2
=
d
.
1.11. 1.5
λ
=
d
.
1.12.
2
λ
=d
.
, ,
.
1.13. λ=0,5
,
1
=
d
.
,
2
=
l
( ). ,
?
, ?
?
1.14. ( . 1.13)
5,2
=
d
,
100
=
l
.
,
10
=
h
.
.5,1
=
n
1.15. λ=480
.
75
,46,1
=
69
=
.
d
1.16.
12
=
d
. ,
,
5,1
=
,
600
=
λ
,
.
1.17. d=1,5 ,
l=60 .
5- ,
λ=5.4 10
-7
?
1.18. d=2 ,
l=80 , =650 .
,
, 1,5 ?
1.19. d=1,5 ,
l=50 , =5,5·10
-7
.
=0,5
?
1.20.
( =0) J
0
.
(n=1,5) h=6 .
=0?
=5.3 10
-7
. .
1.21.
J
0,
0.
: )
? ) ,
?
1.22.
J
0,
.
,
49% . : )
, ) , )
76
, )
, .
1.23.
( . .)
,
10
=
l
.
1 ,
17
=
N
.
,
000277,1=
,
589
=
λ
.
1.24. ( .
1.23) l=2 , .
,
N=20 . =5890
0
,
n =1,000276.
.
1.25.
S
7,0
=
λ
1
=
h
4
=
l
.
.
1.26.
10 ,
. .
1.27.
,
?
2
=
h
,
1
=
l
,
5,0
=
λ
.
,
77
(
)
54,1
=
6
=
d
?
1.28.
100
=
l
.
25,0
=
∆
. ,
60,0
=
∆
h
,
η=1,5 . .
1.29.
1
=
h
.
,
,
.
h
∆
? :
.
1.30.
1
=
∆
. ,
3,0
=
∆
h
, .
l
∆
, ?
6,0
=
λ
.
1.31.
h
. ,
,
.
,
l
. θ.
1.32. , ,
, ,
2,1=
ρ
7,2=
m
ρ
.
50
=
l
. λ.
1.33.
h
∆
,
1.31, ,
78
k
?
h
.
θ.
1.34. ,
, ,
,
α ,
.
,
10
=
r
,
1
=
a
,
02
′
=
α
,
5890
=
λ
.
1.35. ( . ) ,
20
=
r
180
=
a
.
,
14
=
.
700
=
λ
.
1.36.
,
,
θ. – ,
–
.
δ ,
1
S
2
S
.
, ( ) ( )
. δ?
d
?
x
∆
79
,
b
?
N
?
25
=
a
,
100
=
b
,
02
′
=
θ
,
6,0
=
λ
,
5,1
=
n
.
1.37.
f
( ).
l
S
,
L
.
b
(
S
),
d
,
x
∆
. λ.
1.38.
,
0,2
′
=
α
.
,
55,0
=
∆
.
1.39.
?
?
5,0
=
λ
,
623
′
′
′
=
θ
,
5,1
=
,
4
=
l
.
? ( . 1.36).
1.40. -
=
′
, -
80
. ,
, .
λ?
1.41.
3,1
=
.
60,0
1
=
λ
( )?
1
λ
50,0
2
=
λ
( )?
1.42.
,
. , .
1,33. :
.
,
, .
44,0=
λ
,
68,0=
λ
.
1.43. (
6,0
=
λ
)
0
30=
α
(
33,1=
),
(
5,1
=
).
?
1.44. ( =6,6 10
-7
)
(n
1
=1.33), (n
2
=1.5).
.
=10 ,
. d .
1.45.
(
)
33,1=
.
68,0
=
λ
0
30=
α
. , ( –
), ,
15
=
∆
t
.