Fractal Antenna Elements
Fractal Arrays
Fractal FSS
Fractal Antenna Engineering
Efficient Driving Point Impedance Calculations





Stages
16 of the Impedance Matrix for the Triadic Cantor Linear Fractal
Array 
 The selfsimilarity property of fractal arrays may be exploited
to develop efficient recursive algorithms for calculating driving point
impedance.
 The algorithms have been shown to be particularly useful for
fractal arrays containing a large number of elements.
 Two specific fractal antenna configurations have been considered
 Cantor linear arrays and Sierpinski carpet planar arrays
..: References :..
1)
An Efficient Method for Calculating the Driving Point Impedance of Fractal Arrays
by D.H. Werner, D. Baldacci, and P.L. Werner
2)
An Efficient Recursive Procedure for Evaluating the Impedance Matrix of Linear and Planar Fractal Arrays
by D. H. Werner, D. Baldacci, and P. L. Werner
ABSTRACT: The selfsimilar geometrical properties of fractal arrays are exploited in this paper to
develop fast recursive algorithms for efficient evaluation
of the associated impedance matrices as well as driving point impedances.
The methodology is demonstrated by considering two types of uniformly
excited fractal arrays consisting of sidebyside halfwave dipole antenna
elements. These examples include a triadic Cantor linear fractal array
and a Sierpinski carpet planar fractal array. This class of selfsimilar
antenna arrays become significantly large at higher order stages of growth
and utilization of fractal analysis allows the impedance matrix, and hence
the driving point impedances, to be obtained much more efficiently than
would be possible using conventional analysis techniques.
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