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Optical Fiber Communication Systems with MATLAB® and Simulink® Models, 2nd Edition
book

Optical Fiber Communication Systems with MATLAB® and Simulink® Models, 2nd Edition

by Le Nguyen Binh
December 2014
Intermediate to advanced content levelIntermediate to advanced
899 pages
32h 28m
English
CRC Press
Content preview from Optical Fiber Communication Systems with MATLAB® and Simulink® Models, 2nd Edition
60 Optical Fiber Communication Systems with MATLAB
®
and Simulink
®
Models
3.3 Signal Distortion in Optical Fibers
3.3.1 Basics on Group Velocity
Consider
a m
onochromatic
eld
g
iven
b
y
E
x
= A cos(ωt βz) (3.8)
where
A
i
s
t
he
w
ave
a
mplitude
ω
i
s
t
he
r
adial
f
requency
β is the propagation constant along the z-direction
If
w
e
s
et
ωtβ
z
t
o
b
e
a c
onstant
t
hen
t
he
w
ave
p
hase
v
elocity
i
s
g
iven
b
y
v
dz
dt
p
= =
ω
β
(3.9)
Now
we
consider
a
propagating
wave
consisting
of
two
monochromatic
elds
of
frequen-
cies
ω
+
ω a
nd
ω
ω
E
x
A t z
1
= + + cos[( ) ( ) )],ω ω β β
(3.10)
E A t z
x2
= cos[( ) ( ) )].ω ω β β (3.11)
The
t
otal
eld
i
s
t
hen
g
iven
b
y
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Publisher Resources

ISBN: 9781482217513