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Optical Fiber Telecommunications VA, 5th Edition
book

Optical Fiber Telecommunications VA, 5th Edition

by Ivan Kaminow, Alan E. Willner, Tingye Li
July 2010
Intermediate to advanced content levelIntermediate to advanced
944 pages
34h 12m
English
Academic Press
Content preview from Optical Fiber Telecommunications VA, 5th Edition
For a waveguide side coupled to a single resonator with resonance frequency !
i
can be calculated from the scattering matrix S (Eqn (12.3)) as [60]:
T
c
i
=
1 þ j=ð! !
i
Þ j=ð! !
i
Þ
j=ð! !
i
Þ 1 j=ð! !
i
Þ

(12.37)
The transfer matrix through an entire unit cell in Figure 12.8 can then be deter-
mined as
T = T
c
1
T
l
1
T
c
2
T
l
2
, (12.38)
where T
l
i
=
e
jL
i
0
0 e
jL
i

is the transmission matrix for a waveguide section of
length L
i
. Here, is the wavevector of the waveguide at a given frequency !.
Because det(T) = 1, the eigenvalues of T can be represented as e
ikl
, e
–ikl
, where
L = L
1
þL
2
is the length of the unit cell, and k (when it is real) corresponds to the ...
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Publisher Resources

ISBN: 9780123741714