A Convex Optimization Method for Constrained Beam- Steering in Planar (2-D) Coupled Oscillator Antenna Arrays

Constrained beam steering in planar coupled oscillator arrays is presented as a convex optimization problem extending previous works applied in linear arrays. Maximum level constraints are introduced in the array factor by perturbing both the amplitudes and the phases of the array elements. The steady state of the array is included in the optimization problem as a linear constraint. After an optimized solution is found its stability is examined. Design examples that demonstrate the validity of the method are presented.