Title :
Theory of fractal wire antennas: the differintegral equations model
Author_Institution :
Dept. of Math., Zaporizhya Nat. Tech. Univ.
Abstract :
The introduction of the so-called alpha-forms for studying the behavior of electromagnetic field components in the vicinity of antennas with fractal properties is considered. The alpha-pole moments are specified. The differintegral form of the Pocklington and Hallen equations is obtained. A rigorous study of the transfer of energy and behavior of the wavefront in the simulated fractal medium is based on the application of new differintegral model of a space-time source. The relations characterizing the behavior of the alpha-form of wave packets are considered for the wavefronts produced by a pulsed source
Keywords :
antenna theory; differential equations; electromagnetic fields; fractal antennas; integral equations; Hallen equations; Pocklington equations; alpha-pole moments; differintegral equations model; electromagnetic field components; energy transfer; fractal properties; fractal wire antennas; space-time source; wave packets; wavefront behavior; Antenna theory; Dipole antennas; Equations; Fractal antennas; Frequency; Geometry; Magnetic moments; Polarization; Resonance; Wire;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689742