The differintegral design of electrically small fractal wire antennas

Authors

  • Volodymir M. Onufrienko Zaporizhzhya National Technical University, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2005.1496960

Keywords:

antenna theory, wire antenna, small antenna, fractal antenna, Hausdorff measure, differintegral volume, alpha-form

Abstract

The properties of electrically small wire antennas are compared as a function of their total wire length, geometry, and effective volume. The radiation properties considered include resonant frequency and quality factor Q. To estimate the α-forms, possible algorithms are formulated, namely a geometric one involving evaluation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through application of fractional derivatives and integrals.

References

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

ONUFRIYENKO, V.M. Physical and Geometric Interpretation of Electromagnetic Field's α- Characteristics. Telecommunications and Radio Engineering, 1999, v.53, n.4-5, p.136-139.

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

BEST, STEVEN R. A discussion on the properties of electrically small self-resonant wire antennas. IEEE Antennas and Propagation Mag., Dec. 2004, v.46, n.6, p.9-22, doi: http://dx.doi.org/10.1109/MAP.2004.1396731.

ICATT 2005 cover

Published

2005-06-05

Issue

2005: ICATT’2005 - Proc. of V Int. Conf. on Antenna Theory and Techniques

Section

LGA, printed antennas