The use of arrays of injection-locked voltage-controlled oscillators couple
d to nearest neighbors has been proposed as a means of controlling the aper
ture phase of one and two-dimensional (2-D) phased-array antennas, It has b
een demonstrated both theoretically and experimentally that one may achieve
linear distributions of phase across a linear array aperture by injection
locking to an external oscillator the end oscillators of an arl ag of a mut
ually injection-locked oscillators, These linear distributions cause steeri
ng of the radiated beam, It is demonstrated theoretically here that one may
achieve beamsteering in a similar manner in two dimensions by injecting ap
propriately phased signals into the perimeter oscillators of a 2-D array, T
he analysis is based on a continuum representation of the phase previously
developed in the context of beamsteering via tuning of the perimeter oscill
ators.