title: Advantages and disadvantages of the Zernike expansion for representing wave aberration of the normal and aberrated eye.
abstract: OBJECTIVE
  Zernike expansion has been selected for use in describing wavefront aberrations in the human eye. The advantages and limitations of this approach are assessed for eyes with varying degrees of aberration.
  
  
  METHODS
  Corneal topography examinations were taken with the Nidek OPD-Scan topographer/aberrometer. These higher data density corneal topography examinations were converted to height data and subsequently to wavefront representations. System noise was evaluated with a 2D frequency analysis of 43-D test balls. Both Zernike polynomials and 2D Fourier transforms were used to evaluate fidelity in the presentation of the point spread function. A display format for potential clinical use was developed based upon Zernike decomposition.
  
  
  RESULTS
  Systematic noise from the corneal topographer was found to be minimal and, when eliminated, produced small changes in the point spread function. Using Zernike decomposition up to the 30th order failed to preserve the higher frequency aberrations present in aberrated eyes. Use of a Zernike decomposition display with a fixed micron scale presented only clinically significant details of spherical aberration, coma, trefoil, irregular components above third order and total higher-order aberrations (above second order).
  
  
  CONCLUSIONS
  Zernike polynomials excel in extracting the low-order optical characteristics of visual optics. Zernikes accurately represent both low- and high-order aberrations in normal eyes where high-order aberrations are clinically insignificant. For eyes after corneal surgery or eyes with corneal pathology such as keratoconus that have significant higher-order aberrations, the Zernike method fails to capture all clinically significant higher-order aberrations.
authors.affiliation: LSU Eye Center, Louisiana State University Health Sciences Center, New Orleans, Louisiana 70112, USA. sklyce@klyce.com
authors.forename: Stephen D
authors.initials: SD
authors.lastname: Klyce
authors.forename: Michael D
authors.initials: MD
authors.lastname: Karon
authors.forename: Michael K
authors.initials: MK
authors.lastname: Smolek
mesh_terms: D016477:Artifacts; D019781:Corneal Topography / Q000592:standards*; D005583:Fourier Analysis; D006801:Humans; D008962:Models, Theoretical; D012030:Refractive Errors / Q000175:diagnosis*