Document Detail


The refractive group.
MedLine Citation:
PMID:  9255816     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
Spherocylindrical optical elements can be decomposed into a sphere-equivalent component and two cross-cylinder components, oriented at 45 degrees to one another. These components in turn can be represented with a simple matrix formalism. This matrix formalism allows it to be seen that the components also form members of an eight element group, designated the refractive group. The structure of this group is developed including its algebra and its representation with Cayley diagrams. The group is identified as the eight element dihedral group, D4, and is compared to another well-known eight element group, the quaternion group. An example is given using the group formal algebra to develop the transfer equations for spherocylindrical wavefronts. Certain properties of propagating spherocylindrical wavefronts, such as nonrotation of cylinder axes, are seen to come directly as consequences of the group properties.
Authors:
C Campbell
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Publication Detail:
Type:  Comparative Study; Journal Article; 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:  381-7     Citation Subset:  IM    
Affiliation:
Humphrey Instruments, San Leandro, California, USA.
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MeSH Terms
Descriptor/Qualifier:
Eyeglasses*
Humans
Light
Mathematics
Optics and Photonics*
Optometry / methods*
Refraction, Ocular*

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


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