title: A system matrix for astigmatic optical systems: II. Corrected systems including an astigmatic eye.
abstract: The 4 x 4 system matrix is applied to corrected astigmatic systems including a schematic eye in which each surface is astigmatic at a different axis. In addition to representing the eye, the 4 x 4 system generates 2 x 2 magnification matrices which describe the meridional magnifications that occur in the presence of astigmatism including the magnifications that occur with bitoric eikonic correcting lenses, or other meridional magnifying systems.
mesh_terms: D001251:Astigmatism / Q000503:physiopathology*; D005139:Eyeglasses / Q000592:standards; D006801:Humans; D007909:Lenses / Q000592:standards; D009799:Ocular Physiological Phenomena; D055095:Optics and Photonics