title: Lens Antennas that Provide Both Amplitude and Phase Transformation.
abstract: The equations for the relationships between the input and output power and phase distribution of a general lens with two refracting surfaces have been derived. The equations are specialized to the case of transforming a spherical wave with constant power per unit solid angle into a uniform power and phase distribution over the lens aperture. These equations are obtained for the purpose of solving for the coordinates of the two surfaces of a lens which will perform the indicated transformation. Existence of solutions and bounds on solutions are examined in terms of the lens parameters. Solutions for the lens contours are obtained numerically for different values of index of refraction and thickness. Changes in the contours as a function of these parameters are discussed.
authors.forename: J F
authors.initials: JF
authors.lastname: Kauffman