A passive lens based on the prismatic refraction principle proposed to amplify the scan angle of a phased array. The lens consists of an array with any curved surface of revolution

or of dielectric material. Many formulae used to calculate fixed phase distribution for the array lens

configuration curve of the dielectric lens and aperture phase of a feed phased array are derived. When used in combination with a planar phase array antenna

the lens makes it possible for the single planar phased array antenna to achieve the capability of beam scanning for hemispherical coverage.