Abstract
Previous work (see Brickell et al., ibid., vol.9, p.113 (1976)) on the hyperbolic case has shown that the synthesis of a reflector surface under the geometric-optics approximation, given feed and far-field power patterns, can be formulated as an initial-value problem involving the solution of a set of simultaneous quasi-linear first-order partial differential equations. A numerical method of solution is proposed based on finite differences and is tested against exact solutions. Examples of reflector surfaces so generated are illustrated.
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