The differ-integral theory of fractal antennas

Authors

  • Volodymir M. Onufrienko Zaporizhzhya National Technical University, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2003.1239160

Keywords:

fractal antenna, Hausdorff measure, differ-integral, Maxwell equations, vector potential, scalar potential, Green's function, radiation pattern

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.

References

Mandelbrot, B. The Fractal Geometry of Nature. San Francisco: W. H. Freeman, 1982.

Cohen, N. Fractal Antennas. Part 1. Comm. Quarterly, Summer 1995, p. 7-22.

Onufriyenko, V.M. Physical and Geometric Interpretation of Electromagnetic Field's α–Characteristics. T&RE, Vol. 53, No. 4-5, 1999, p. 136-139.

ICATT 2003 cover

Published

2003-09-14

Issue

Vol. 1 (2003): ICATT’2003 - Proc. of IV Int. Conf. on Antenna Theory and Techniques

Section

General antenna theory