Polynomial approximations to Bessel functions

A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximati...

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Veröffentlicht in:	IEEE transactions on antennas and propagation 2003-06, Vol.51 (6), p.1398-1400
Hauptverfasser:	Millane, R.P., Eads, J.L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Antennas Antennas and propagation Approximation Bessel functions Dipole antennas Electromagnetic scattering Integers Mathematical analysis Optical diffraction Optical scattering Optical surface waves Optimized production technology Physical optics Polynomials Taylor series
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Beschreibung
Zusammenfassung:	A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.
ISSN:	0018-926X 1558-2221
DOI:	10.1109/TAP.2003.812234