Title :
Globally convergent algorithm to find the zeros of the cross-product of Bessel functions
Author :
Sorolla, E. ; Mattes, M.
Author_Institution :
Lab. d´´Electromagn. et d´´Acoust. (LEMA), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland
Abstract :
This paper shows the construction of an algorithm to calculate the roots of both, the cross-product of Bessel functions respectively of their first derivatives. The algorithm has shown globally convergent behavior for a large range of values of the argument and of the order of the Bessel functions with the desired accuracy to machine precision.
Keywords :
Bessel functions; coaxial waveguides; poles and zeros; Bessel functions; cross-product; first derivatives; globally convergent algorithm; machine precision; zeros; Accuracy; Convergence; Indexes; Prediction algorithms; Presses; Rectangular waveguides;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2011 International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-61284-976-8
DOI :
10.1109/ICEAA.2011.6046305
