Title :
A Taylor series expansion method for calculation of the radiation integral for a circular aperture
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
Abstract :
The Taylor series expansion method developed in this paper is an efficient algorithm for performing the popular Jacobi series expansion for the radiation integral describing the operation of reflector and other circular aperture antennas. This approach results in a Bessel series expansion for the radiation integral. The method is then applied for simplicity to different examples of a source function with rotational symmetry.
Keywords :
Hankel transforms; antenna radiation patterns; aperture antennas; integral equations; reflector antennas; series (mathematics); Bessel series expansion; Hankel transforms; Jacobi series expansion; Taylor series expansion; circular aperture antennas; radiation integral; reflector antennas; rotational symmetry; source function; Antenna radiation patterns; Aperture antennas; Current distribution; Jacobian matrices; Mathematics; Polynomials; Reflector antennas; Satellite antennas; Satellite communication; Taylor series;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2003.820978