Misson, G. P., Harris, W. F., Cardoso, J. R. and van Gool, R. D.. (2007) Technical note: dimensionless ray transference. Ophthalmic and Physiological Optics, Vol.27 (No.5). pp. 502-505. ISSN 0275-5408

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Abstract

The ray transference matrix completely characterises the first-order optical nature of an optical system including the eye. It is in terms of the transference that quantitative analyses (for example, calculation of an average eye) can be performed. However, the fact that the entries of the transference do not have the same physical dimensions precludes the calculation of the usual scalar value (a Frobenius norm for example) for a change or difference between two optical systems. The purpose of this note is to show how to use the wavelength of the light as a natural unit of length to define a dimensionless transference and so make it possible to calculate a meaningful norm. In most practical applications, some components of the dimensionless transference may dominate unreasonably in the resulting norm in which case suitably weighted norms may be more appropriate. In an appendix, some of the issues are illustrated by application to a lens.

Item Type:	Journal Article
Subjects:	R Medicine > RE Ophthalmology
Divisions:	Faculty of Science > Engineering
Journal or Publication Title:	Ophthalmic and Physiological Optics
Publisher:	Wiley-Blackwell Publishing, Inc.
ISSN:	0275-5408
Date:	September 2007
Volume:	Vol.27
Number:	No.5
Number of Pages:	4
Page Range:	pp. 502-505
Identification Number:	10.1111/j.1475-1313.2007.00499.x
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/31436

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