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ECE 303 – Fall 2007 – Farhan Rana – Cornell University
Lecture 13
Electromagnetic Waves in Free Space
In this lecture you will learn:
• Electromagnetic wave equation in free space
• Uniform plane wave solutions of the wave equation
• Energy and power of electromagnetic waves
ECE 303 – Fall 2007 – Farhan Rana – Cornell University
Basic Wave Motion
v
λ
x
Consider a wave moving in the +
x
-direction:
The wave travels a distance equal to one wavelength
in one time period
Basic relation for wave motion:
v
f
=
λ
v
=
velocity of wave propagation
λ
=
wavelength of the wave
f
=
frequency of the wave
T
= period = 1/
f
1-D wave equation:
(
)
(
)
2
2
2
2
2
,
1
,
t
t
x
a
v
x
t
x
a
∂
∂
=
∂
∂
(
)
t
x
a
,
λ
λ
f
T
v
=
=
=
=
time
distance
velocity

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