Rectangular array pattern synthesis with simple method

A simple method for rectangular array pattern synthesis, which combines convolution of two perpendicular linear arrays with orthogonal approach for each linear array synthesis, is proposed. Because beam patterns derive from Fourier transforms of distributions in space, the distribution to produce the product of two simpler patterns is the convolution of the simpler distributions. A desired rectangular array pattern can be synthesized through multiplication of two perpendicular linear array patterns. At the same time, the relatively simple and general orthogonal method is applied for linear array synthesis to reduce the amount of computation further.