Fractal Antenna Elements
Fractal Arrays
Fractal FSS
Fractal Antenna Engineering
Generalized SelfScalable/Similar Fractal Arrays

A schematic
representation for a recursively generated thinned hexagonal array.
The first four stages of growth are indicated by the blue (Stage
1), red (Stage 2), green (Stage 3), and orange (Stage 4) arrays
respectively. The sixelement generating subarray is shown in
the upperrighthand corner, where the elements are located at
the vertices of the hexagon. 


Contour plots of
the radiation patterns for Stage 1 through Stage 4 of the recursively
generated thinned hexagonal arrays shown in the previous figure. 

..: References :..
1)
Generalized SelfScalable and SelfSimilar Fractal Arrays
by D.H. Werner and P.L. Werner
2)
Fractal Antenna Engineering: Theory and Design of Fractal Antenna Arrays
by D.H. Werner, R. L. Haupt and P.L. Werner
ABSTRACT: A fractal is a recursively generated object having a fractional dimension. Many objects, including antennas,
can be designed using the recursive nature of a fractal. In this article,
we provide a comprehensive overview of recent developments in the field
of fractal antenna engineering, with particular emphasis placed on the
theory and design of fractal arrays. We introduce some important properties
of fractal arrays, including the frequencyindependent multiband characteristics,
schemes for realizing lowsidelobe designs, systematic approach to thinning,
and the ability to develop rapid beamforming algorithms by exploiting
the recursive nature of fractals. These arrays have fractional dimensions
that are found from the generating subarray used to recursively create
the fractal array. Our research is in its infancy, but the results do
far are intriguing, and may have future practical applications.
3)
A General Class of SelfScalable and SelfSimilar Arrays
by D. H. Werner and P. L. Werner
1999 IEEE International Symposium on Antennas and Propagation. Orlando, Florida, July 1116.
ABSTRACT: A rich class of fractal and related arrays
exist which can be formed recursively through the repetitive application
of a generating array. A generating array is a small array at scale
one P=1) used to recursively construct larger arrays at higher
scales (i.e., P>1). In many cases the generating array has elements
that are turned on and off in a certain pattern. A set formula for copying,
scaling, and translating of the generating array is then followed in
order to produce a family of higher order arrays. Hence, arrays which
are created in this manner will be composed of a sequence of selfscalable
or, in some cases, selfsimilar arrays.
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