  In this paper, we propose a fast method for array response adjustment with
phase-only constraint. This method can precisely and rapidly adjust the array
response of a given point by only varying the entry phases of a pre-assigned
weight vector. We show that phase-only array response adjustment can be
formulated as a polygon construction problem, which can be solved by edge
rotation in complex plain. Unlike the existing approaches, the proposed
algorithm provides an analytical solution and guarantees a precise phase-only
adjustment without pattern distortion. Moreover, the proposed method is
suitable for an arbitrarily given weight vector and has a low computational
complexity. Representative examples are presented to demonstrate the
effectiveness of the proposed algorithm.
