Affiliated with the
Communication & Space
Sciences Laboratory

Fractal Antenna Engineering

Efficient Driving Point Impedance Calculations

Stages 1-6 of the Impedance Matrix for the Triadic Cantor Linear Fractal Array
  • The self-similarity 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 self-similar 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 side-by-side half-wave dipole antenna elements. These examples include a triadic Cantor linear fractal array and a Sierpinski carpet planar fractal array. This class of self-similar 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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