Computational Methods for Antenna Pattern Synthesis

Book excerpt: Some general numerical methods for antenna pattern synthesis, with and without constraints, are developed in this report. Particular cases considered are (1) field pattern specified in amplitude and phase, (2) field pattern specified in amplitude only, (3) these two cases with a constraint on the source quality factor. Both the source and the field are discretized at the beginning, and the methods of finite dimentional vector spaces are used for the computations. The theory is general, but is applied only to point sources arbitrarily distributed in a plane, and to pattern synthesis in this plane. Some numerical examples are given for ten sources approximately equispaced on one-half of an ellipse, with the desired field pattern chosen to be the cosecant phi pattern in the first quadrant. (Author).