Title :
Incomplete modified spherical Bessel functions: A new class of special functions for electromagnetics
Author :
Caratelli, Diego ; Yarovoy, Alexander
Author_Institution :
Int. Res. Centre for Telecommun. & Radar, Delft Univ. of Technol., Zuid-Holland, Netherlands
Abstract :
A new class of special functions for electromagnetics is presented. Formed by the incomplete spherical Bessel functions, this class conveniently allows solving electromagnetic problems regarding transient radiation phenomena in spherical structures. The definition of these functions is here introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete functions parallel, as far as is feasible, those for canonical spherical Bessel functions.
Keywords :
Bessel functions; electromagnetic wave propagation; canonical spherical Bessel function; electromagnetic problem; incomplete spherical Bessel function; spherical structure; transient radiation phenomena; Antennas; Differential equations; Electromagnetic scattering; Polynomials; Transient analysis;
Conference_Titel :
Electromagnetic Theory (EMTS), 2010 URSI International Symposium on
Conference_Location :
Berlin
Print_ISBN :
978-1-4244-5155-5
Electronic_ISBN :
978-1-4244-5154-8
DOI :
10.1109/URSI-EMTS.2010.5637105
