This preview shows pages 1–2. Sign up to view the full content.
135
10)
Fig 3
)
t
cos(
sin
A
E
1
β

ω
β
β
=
 (14)
Similarly, the secondary slit will produce a field
)
t
cos(
sin
A
E
1
2
Φ

β

ω
β
β
=
 (15)
at the point P, where
θ
λ
π
=
Φ
sin
d
2
1
represents the phase difference between the
disturbances from two corresponding points on the slits; by corresponding points we
imply pair of points like (A
1
,B
1
), (A
2
,B
2
)… … ., which are separated by a distance d.
Hence the resultant field will be
[ ]
)
t
cos(
)
t
cos(
sin
A
E
E
E
1
2
1
Φ

β

ω
+
β

ω
β
β
=
+
=
which represents the interference of two waves each of amplitude
β
β
sin
A
and
differing in phase by
1
. Above equation can be written as
)
2
t
cos(
cos
sin
A
E
1
Φ

β

ω
γ
β
β
=
where
±
=
θ
λ
π
=
Φ
sin
d
2
1
.
The intensity distribution will be of the form
γ
β
β
=
2
2
2
0
cos
sin
I
4
I
 (16)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document136
where
2
2
0
sin
I
β
β
represents the intensity distribution produced by one of the slits. As
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '09
 LIND

Click to edit the document details