use spatially varying refractive index profiles to vary the effective refractive index n(r) and therefore, the optical path, n(r) × d. In PB phase lenses, in the plane of the lens the azimuthal angle (β) of the director varies with radius in the plane normal to the light path [11] causing the radial component of the refractive index to vary as well.Convex [12,13] or concave [14] lenses, such as eyeglasses, have simple spherical surfaces, while Fresnel [15][16][17] lenses have complex shapes that contain portions of a sphere. Even with a perfectly designed and manufactured spherical lens profile, some distortion, called spherical aberration, is created for light that passes through the lens away from its center. To improve optical properties, aspheric lenses, [18][19][20] which gradually change the curvature from the center of the lens out to the edge, can be used. Aspheric lenses may be designed to eliminate spherical aberration, create a wider field of view, and deliver improved spot size [21] and better peripheral vision with a more compact, lighter design. [19,20,22,23] Although every surface that deviates from spherical symmetry is an aspheric surface, optical designers typically consider aspheres to be nonspheric, rotationally symmetric surfaces. Mathematically, they are frequently described using conic sections for the radial dependence of the surface, [24] where the radial dependence of the surface profile z(r) along the lens' axis is given in Equation (1) as