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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
of a perfectly reflecting hollow cylinde r have the simple relationship between the
frequency, !, and propagation constant, , of the modes:
n
2
!
2
c
2
=
2
þ
j
pq
R

2
; (15.28)
where n is the refractive index of the core material, R is the radius of the core, c
is the speed of light in a vacuum, and j
pq
is the qth zero of the pth-order Bessel
function of the first kind. It is convenient to recast Eqn (15.28) in terms of the
effective index of the mode, n
eff
c/!:
n
2
eff
= n
2
j
pq
c
!R

2
: (15.29)
Interestingly, the effective indices of these modes are less than the index of the
core material, n. For a hollow core, with n = 1, the mode effective index is less
than ...
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Publisher Resources

ISBN: 9780123741714