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Abstract

An ellipticized singlet azimuth versus elevation optimized and aperture eemized nonspherical lens antenna of very low or even minimal F-number providing balanced astigmatism for wide angle acoustic, microwave or optical applications is described. The lens has an elliptical periphery and surfaces defined by a system of nonlinear partial differential equations, the surfaces acting together to produce two perfect primary off-axis foci F and F' at a finite distance in back of the lens and two perfect conjugate off-axis foci F.sub..infin. and F'.sub..infin. in front of the lens at infinity; i.e., the lens simultaneously focuses energy from the primary foci F and F' into two off-axis parallel ray plane wave beams directed towards infinity at equal but opposite angles with respect to the lens axis. The lens may be built of various materials depending on its intended application in acoustics, microwaves or optics.

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