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Methods are given for designing point-source three-dimensional aspheric rotationally-symmetric dielectric lenses and for zoning such lenses. Designs for scan angles and aperture ratios much larger than conventional may be achieved and all computations can be done on a desk calculator. The three-dimensional lens is obtained by first designing an exact two-point corrected cylindrical dielectric lens and then rotating a section of the cylindrical lens about the axis of symmetry of the section. The design procedures for the cylindrical lens are based on ray-tracing techniques. Experimental results indicate that the three-dimensional lenses possess good wide-angle scanning characteristics.
Date of Publication: January 1957