In an embodiment, an aspheric IOL for use in a pseudophakic ocular system has no inherent spherical aberration. In an embodiment, an aspheric IOL for use in a pseudophakic ocular system has a controlled amount of inherent negative spherical aberration such that the IOL induces no spherical aberration in a converging wavefront from a cornea passing through the lens. An embodiment of the invention is directed to a family of aspheric IOLs made up of any two or more member aspheric IOLs each having different spherical aberration values and different lens shape factors. A lens constant, such as the well known A-constant, is kept constant throughout the family of lenses. An embodiment of the invention is directed to a multi-component accommodating intraocular lens (A-IOL). In a particular embodiment, the A-IOL introduces substantially no residual spherical aberration to a wavefront incident upon and passing through the A-IOL.