Symbolic algebra approach to the calculation of intraocular lens power following cataract surgery

David P. Hjelmstad; Samir I. Sayegh

doi:10.1117/12.2003175

26 March 2013 Symbolic algebra approach to the calculation of intraocular lens power following cataract surgery

David P. Hjelmstad, Samir I. Sayegh

Proceedings Volume 8567, Ophthalmic Technologies XXIII; 85671V (2013) https://doi.org/10.1117/12.2003175
Event: SPIE BiOS, 2013, San Francisco, California, United States

Abstract

We present a symbolic approach based on matrix methods that allows for the analysis and computation of intraocular lens power following cataract surgery. We extend the basic matrix approach corresponding to paraxial optics to include astigmatism and other aberrations. The symbolic approach allows for a refined analysis of the potential sources of errors (“refractive surprises”). We demonstrate the computation of lens powers including toric lenses that correct for both defocus (myopia, hyperopia) and astigmatism. A specific implementation in Mathematica allows an elegant and powerful method for the design and analysis of these intraocular lenses.

Citation Download Citation

David P. Hjelmstad and Samir I. Sayegh "Symbolic algebra approach to the calculation of intraocular lens power following cataract surgery", Proc. SPIE 8567, Ophthalmic Technologies XXIII, 85671V (26 March 2013); https://doi.org/10.1117/12.2003175

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available