The properties of the fractal wire antennas

Abstract

The results of modelling of wire antenna with fractal configuration of radiating elements are presented. For analysis the fractional differintegration calculus is used. Antenna diagrams depending on index of fractality of consisting vibrators are compared. INTRODUCTIONThe necessity of perfection of mobil communication makes it actual designing and studying of properties of nonsymmetrical antennas with very little electrical length of vertical parts of vibrators. It is interesting to use inhomogenious artificial mediums with vertical and inclined vibrator elements placed near to each other and weakly radiate because of odd currents. Antennas with such properties my be realised on the base of designing of fractal radiating elements. As a result of covering of fractal part of vibrator by regular compacts the problem of analysis is reduced to construction of the Housdorffs smoothing measure on the physically prefractal layer with differintegration of equilibrational current density over the projection of fractal set on smooth segment. Proceeding from the fractal representations about the current structure in a conductor and the field induced in an artificial metal-dielectric medium, using of the concept of fractional differintegration calculus the proved fact [l] is used in this paper that the behaviour of the field component u(r) in the medium with fractal properties of conductivity, permittivity etc. may be described by fractional integrodifferential (acharacteristic):

Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications

“…Comprehension of condition (12) leads to the logical conclusion that minimizing the antenna leads to a deterioration in its matching.…”

“…In practice, various forms of broken balanced dipoles are used [1,8,9]. However, the most common way to minimize or improve the properties of the antennas is through their fractalization [10][11][12][13][14][15][16]. The most studied fractal antenna is a dipole constructed on the basis of the Koch fractal.…”