Finiteness of Connected Arrays: How to Control Guided Edge Waves with Proper Loading Impedances

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Abstract

Most phased arrays are designed using infinite array
theory. However, when finiteness is included, edge
effects perturb their behaviour. Truncation effects can
become dominant especially in broadband arrays, which
are characterized by strong mutual coupling between
neighbouring elements. Although finite array
simulations would predict these effects, they are
computationally very expensive.
In this paper, an accurate and analytical procedure to
assess edge effects in finite connected arrays is
presented. The derivation of an approximated
expression of the electric current distribution on the
array provides physical insights in the induced dominant
edge wave mechanism. Some useful rules for the design
of finite connected arrays are also presented.