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Introduction to Electrodynamics
· Problem 9.16
Electromagnetic Waves — David J. Griffiths
Physics · oblique-incidence
Problem
Suppose
A
e
i
a
x
+
B
e
i
b
x
=
C
e
i
c
x
Ae^{iax} + Be^{ibx} = Ce^{icx}
A
e
ia
x
+
B
e
ib
x
=
C
e
i
c
x
, for some nonzero constants
A
A
A
,
B
B
B
,
C
C
C
,
a
a
a
,
b
b
b
,
c
c
c
, and for all
x
x
x
. Prove that
a
=
b
=
c
a = b = c
a
=
b
=
c
and
A
+
B
=
C
A + B = C
A
+
B
=
C
.
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