The theoretical foundation for the study of deterministic

hctal arrays is developed in Section 3 of this article. In particular,

a specialized pattern-multiplication theorem for fractal arrays is

introduced. Various types of fractal array configuration are also

considered in Section 3, including Cantor linear arrays and

Sierpinski carpet planar arrays. Finally, a more general and systematic

approach to the design of deterministic fractal arrays is

outlined in Section 4. This generalized approach is then used to

show that a wide variety of practical array designs may be recursively

constructed using