General equations for combining obliquely crossed spherocylinders

Smith, George & Atchison, David A. (1996) General equations for combining obliquely crossed spherocylinders. Ophthalmic and Physiological Optics, 16(3), pp. 264-265.

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Faria e Sousa’s equations (1995) for solving a pair of crossed spherocylindrical lenses are certainly a very useful tool for solving crossed spherocylinders. Those equations have already been derived by us and are in our forthcoming book entitled The Eye and Visual Optical Instruments, which is currently in the production stages at Cambridge University Press. We derived the equations by a slightly different and more rigorous method. Faria e Sousa makes the assumption in his equation (1) that the sum of two crossed spherocylindrical lenses is also a spherocylinder. If one is rigorous, this assumption needs to be verified. Our derivation does so and is as follows.

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ID Code: 5118
Item Type: Journal Article
Refereed: Yes
Additional Information: For more information, please refer to the journal’s website (see link) or contact the author. Author contact details:
Keywords: equations, obliquely crossed spherocylinders
DOI: 10.1046/j.1475-1313.1996.95001255.x
ISSN: 0275-5408
Subjects: Australian and New Zealand Standard Research Classification > MEDICAL AND HEALTH SCIENCES (110000) > OPTOMETRY AND OPHTHALMOLOGY (111300)
Divisions: Current > QUT Faculties and Divisions > Faculty of Health
Current > Institutes > Institute of Health and Biomedical Innovation
Copyright Owner: Copyright 1996 Blackwell Publishing
Copyright Statement: The definitive version is available at
Deposited On: 27 Sep 2006 00:00
Last Modified: 15 Jan 2009 07:12

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