Frequency independent features of self-similar fractal antennas

D. H. Werner, P. L. Werner, A. J. Ferraro

Research output: Contribution to journalConference article

19 Citations (Scopus)

Abstract

One of the fundamental properties of classical frequency independent antennas is their ability to retain the same shape under certain scaling transformations. More recently, it has been demonstrated that this self-similar property is also shared by many fractals. The framework for a more general theoretical treatment of frequency-independent antennas is established in this paper. This generalization of frequency-independent antenna theory is accomplished by removing the restrictions imposed by a past reliance on classical Euclidean geometry in favor of adopting a more modern fractal geometric interpretation. Of particular interest in this paper is the application of this new theory of self-similar fractal radiators to the development of a multiband linear array design methodology for which the directive gain is a log-periodic function of frequency.

Original languageEnglish (US)
Pages (from-to)2050-2053
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume3
StatePublished - Jan 1 1996
EventProceedings of the 1996 AP-S International Symposium & URSI Radio Science Meeting. Part 1 (of 3) - Baltimore, MD, USA
Duration: Jul 21 1996Jul 26 1996

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Fractals
Antennas
Radiators
Geometry

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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Frequency independent features of self-similar fractal antennas. / Werner, D. H.; Werner, P. L.; Ferraro, A. J.

In: IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Vol. 3, 01.01.1996, p. 2050-2053.

Research output: Contribution to journalConference article

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AB - One of the fundamental properties of classical frequency independent antennas is their ability to retain the same shape under certain scaling transformations. More recently, it has been demonstrated that this self-similar property is also shared by many fractals. The framework for a more general theoretical treatment of frequency-independent antennas is established in this paper. This generalization of frequency-independent antenna theory is accomplished by removing the restrictions imposed by a past reliance on classical Euclidean geometry in favor of adopting a more modern fractal geometric interpretation. Of particular interest in this paper is the application of this new theory of self-similar fractal radiators to the development of a multiband linear array design methodology for which the directive gain is a log-periodic function of frequency.

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