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Wave Optics
331
(a) If
12
3
45 ,
90 , and
0
θ
=°
=
°
, then
()
(
)
22
2
cos 45 cos
90
45
cos
0
90
0
fi
II
=° °
−
°°
−
°
=
(b) If
3
0 ,
45 , and
90
= °
, then
( )
2
cos 0 cos
45
0
cos
90
45
0.25
°
−
°
°
−
°
=
24.63
In the figure at the right, observe that the path difference
between the direct and the indirect paths is
2
2
2
xd
h
d
d
δ
=−=
+
−
With a phase reversal (equivalent to a halfwavelength
shift) occurring on the reflection at the ground, the
condition for constructive interference is
( )
m
λ
=+
, and the condition for
destructive interference is
m
=
. In both cases, the possible values of the order
number are
m
.
0, 1, 2,
=…
±
²
±²³´µ¶
·¶µ¶¸¹¶´
³
±
º
³
±
º
²
(a) The wavelengths that will interfere constructively are
m
=
+
. The longest of
these is for the
case and has a value of
0
m
=
2
24
2 2
4
50.0
300 m
2 600 m
16.6 m
d
λδ
==
−
−
=
2
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This document was uploaded on 10/20/2011.
 Spring '09
 Physics, Work

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