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Introduction to Electrodynamics
· Problem 9.2
Electromagnetic Waves — David J. Griffiths
Physics · wave-equation
Problem
Show that the standing wave
f
(
z
,
t
)
=
A
sin
(
k
z
)
cos
(
k
v
t
)
f(z,t) = A\sin(kz)\cos(kvt)
f
(
z
,
t
)
=
A
sin
(
k
z
)
cos
(
k
v
t
)
satisfies the wave equation, and express it as the sum of a wave traveling to the left and a wave traveling to the right (Eq. 9.6).
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