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Absfruct-A method is developed for maximization of the gain of a planar array at a presmied sidelobe level. The method is iterative and includes a quadratic programming routine. Numerical examples are given for an octagonal array with a quadratic array lattice and for hexagonal arrays with triangular lattices. The latter arrays are compared to the results obtained by sampling the circular Taylor distriiution. W

A survey of electromagnetic and acoustical scattering by a circular cylinder is performed. Theoretical methods and results for infinite and semi-infinite cylinders, and experimental ones for finite cylinders, are included. Only tlme-harmonic fields are considered, and dielectric cylinders are not taken into account.iii THE UNIVERSITY OF MICHIGAN 7133-3-T

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Using perturbation theory, a Boundary Element Method is developed for solving a class of three dimensional electrostatics problems. This class includes problems for which an axially symmetric object is weakly coupled to other objects without symmetry so that the total geometry is three dimensional. A problem which falls into this class is that of a surge arrester located near one or more other arresters. The time required for set up and solution using this method is not significantly greater than that required for solving the axially symmetric problem by itself. A simple empirical formula for error is developed by comparing exact solutions with solutions developed using the method described here.