Scaling Zernike expansion coefficients to smaller pupil sizes: a simpler formula.
In a recent paper [J. Opt. Soc. Am. A 19, 1937 (2002)] a recursive analytical formula was derived to calculate a set of new Zernike polynomial expansion coefficients from an original set when the size of the aperture is reduced. In the current paper I describe a more intuitive derivation of a simpler, nonrecursive formula, which is used to calculate the instantaneous refractive power.
Dai
Guang-ming
GM
VISX Inc, Santa Clara, California 95051, USA. george.dai@amo-inc.com
D000465:Algorithms; D003198:Computer Simulation; D003315:Cornea / Q000503:physiopathology*; D019781:Corneal Topography / Q000379:methods*; D003936:Diagnosis, Computer-Assisted / Q000379:methods*; D008954:Models, Biological; D015233:Models, Statistical; D011680:Pupil / Q000502:physiology*; D012030:Refractive Errors / Q000175:diagnosis* / Q000503:physiopathology*; D012031:Refractometry / Q000379:methods*