Title :
The differ-integral theory of fractal antennas
Author :
Onufriyenko, Volodymir M.
Author_Institution :
Zaporizhzhia Nat. Tech. Univ., Ukraine
Abstract :
The introduction of the so-called α-forms for studying the behavior of electromagnetic field components in the vicinity of antennas with fractal properties is considered. To estimate the α-forms, some possible algorithms are formulated, namely a geometric one involving the evaluation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through the application of fractional derivatives and integrals. Far-field patterns of the fractal α-pole antennas are calculated.
Keywords :
Green´s function methods; Maxwell equations; antenna radiation patterns; electromagnetic fields; fractals; integral equations; Greens function; Hausdorff measure; Maxwell equations; electromagnetic field components; far-field patterns; fractal antennas; fractional derivatives; fractional integrals; radiation pattern; scalar potential; vector potential; Antenna accessories; Antenna measurements; Dipole antennas; Fractal antennas; Geometry; Length measurement; Magnetic analysis; Magnetic field measurement; Magnetic properties; Power measurement;
Conference_Titel :
Antenna Theory and Techniques, 2003. 4th International Conference on
Print_ISBN :
0-7803-7881-4
DOI :
10.1109/ICATT.2003.1239160
