Document Detail

Interconverting the matrix and principal meridional representations of dioptric power in general including powers with nonorthogonal and complex principal meridians.
MedLine Citation:
PMID:  11396399     Owner:  NLM     Status:  MEDLINE    
The principal meridians of the powers of thick astigmatic systems, like the eye, are not necessarily at right angles. The consequence is a class of phenomena included in the category commonly described as irregular astigmatism. The conventional principal meridional representation of power, however, is unsuited to quantitative analysis. This paper presents equations for converting from the principal meridional form of power to a representation, the dioptric power matrix, which is amenable to quantitative analysis. It generalizes an earlier paper which treated only powers of a conventional form in which the principal meridians are always at right angles. It copes in particular with what are known as asymmetric powers. A routine is also presented for converting in the reverse direction, from the power matrix to the principal meridional form of power. The principal meridional form of power turns out not always to be unique, there being distinct powers (they are asymmetric) with the same principal powers and meridians. Thus, in general, the dioptric power matrix is a satisfactory representation of power while the principal meridional representation is not.
W F Harris
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)     Volume:  21     ISSN:  0275-5408     ISO Abbreviation:  Ophthalmic Physiol Opt     Publication Date:  2001 May 
Date Detail:
Created Date:  2001-06-08     Completed Date:  2001-06-21     Revised Date:  2008-11-21    
Medline Journal Info:
Nlm Unique ID:  8208839     Medline TA:  Ophthalmic Physiol Opt     Country:  England    
Other Details:
Languages:  eng     Pagination:  247-52     Citation Subset:  IM    
Optometric Science Research Group, Department of Optometry, Rand Afrikaans University, P.O. Box 524, Auckland Park 2006, South Africa.
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MeSH Terms
Data Interpretation, Statistical
Linear Models
Optics and Photonics*

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

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