Abstract
Abstract : The main objective of this work was research and development of the theory and constructive computational algorithms for synthesis of single and dual reflector antenna systems in geometrical optics approximation. During the contracting period a variety of new analytic techniques and computational algorithms have been developed. In particular, for single and dual reflector antenna systems conditions for solvability of the synthesis equations have been established. Numerical algorithms for computing surface data of the reflectors have been developed and successfully tested. In addition, efficient techniques have been developed for computing radiation patterns produced by reflections/refractions off surfaces with arbitrary geometry. These techniques can be used for geometrical optics analysis of complex geometric structures such as aircrafts. They can also be applied to determine effectively the aperture excitations required to produce specified fields at given observation points. The results have a variety of applications in military, civilian, and commercial sectors.
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