Computational methods for antenna pattern synthesis
Abstract
Some general numerical methods for antenna pattern synthesis, with and without constraints, are developed. Particular cases considered are (1) field pattern specified in amplitude and phase, (2) field pattern specified in amplitude only, and (3) these two cases with a constraint on the source norm. Both the source and the field are discretized at the beginning, and the methods of finite dimensional 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 onehalf of an ellipse, with the desired field pattern chosen to be the csc phi pattern in the first quadrant.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 July 1975
 DOI:
 10.1109/TAP.1975.1141126
 Bibcode:
 1975ITAP...23..507M
 Keywords:

 Antenna Design;
 Antenna Radiation Patterns;
 Computer Aided Design;
 Least Squares Method;
 Synthetic Arrays;
 Amplitude Distribution Analysis;
 NewtonRaphson Method;
 Phase Shift;
 Vector Spaces;
 Communications and Radar