Document Detail

Power vectors: an application of Fourier analysis to the description and statistical analysis of refractive error.
MedLine Citation:
PMID:  9255814     Owner:  NLM     Status:  MEDLINE    
The description of sphero-cylinder lenses is approached from the viewpoint of Fourier analysis of the power profile. It is shown that the familiar sine-squared law leads naturally to a Fourier series representation with exactly three Fourier coefficients, representing the natural parameters of a thin lens. The constant term corresponds to the mean spherical equivalent (MSE) power, whereas the amplitude and phase of the harmonic correspond to the power and axis of a Jackson cross-cylinder (JCC) lens, respectively. Expressing the Fourier series in rectangular form leads to the representation of an arbitrary sphero-cylinder lens as the sum of a spherical lens and two cross-cylinders, one at axis 0 degree and the other at axis 45 degrees. The power of these three component lenses may be interpreted as (x,y,z) coordinates of a vector representation of the power profile. Advantages of this power vector representation of a sphero-cylinder lens for numerical and graphical analysis of optometric data are described for problems involving lens combinations, comparison of different lenses, and the statistical distribution of refractive errors.
L N Thibos; W Wheeler; D Horner
Related Documents :
19678984 - Analysis of reflectance and transmittance measurements on absorbing and scattering smal...
20411014 - Miniaturization of fresnel lenses for solar concentration: a quantitative investigation.
19002234 - Method of zoom lens design.
17124894 - Comparison of wavefront reconstructions with zernike polynomials and fourier transforms.
11088354 - Large-scale coherent rotation and oscillation in turbulent thermal convection
14683104 - Constraining the variation of fundamental constants using 18 cm oh lines.
Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, P.H.S.; Review    
Journal Detail:
Title:  Optometry and vision science : official publication of the American Academy of Optometry     Volume:  74     ISSN:  1040-5488     ISO Abbreviation:  Optom Vis Sci     Publication Date:  1997 Jun 
Date Detail:
Created Date:  1997-09-30     Completed Date:  1997-09-30     Revised Date:  2008-11-21    
Medline Journal Info:
Nlm Unique ID:  8904931     Medline TA:  Optom Vis Sci     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  367-75     Citation Subset:  IM    
School of Optometry, Indiana University, Bloomington, USA.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Computer Graphics
Data Interpretation, Statistical*
Eyeglasses* / standards,  statistics & numerical data
Fourier Analysis*
Optics and Photonics
Optometry / methods
Refraction, Ocular
Refractive Errors / therapy*
Grant Support
Comment In:
Optom Vis Sci. 2001 Jan;78(1):6-7   [PMID:  11233337 ]
Optom Vis Sci. 1997 Jun;74(6):339-41   [PMID:  9255812 ]

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Previous Document:  Dioptric power: its nature and its representation in three- and four-dimensional space.
Next Document:  Clinical refraction in three-dimensional dioptric space revisited.