September 2012
Intermediate to advanced
496 pages
12h 35m
English
Content preview from Fundamentals of Optical Fiber Sensors
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APPENDICES
APPENDIX 1: MATHEMATICAL FORMULAS
A1.1 Bessel Equations and Bessel Functions
The Bessel equation has two linearly independent solutions: the first and second kinds Bessel functions, 
and 
:
(A1.1) 
(A1.2) 
where 
is gamma function; for an integer argument, 
.
(A1.3) 
is also called Neumann function. Their linear combinations are Hankel functions:
(A1.4a) 
(A1.4b) 
The modified Bessel equation ...
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