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 ...
Get Fundamentals of Optical Fiber Sensors now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.