43
Views
3
CrossRef citations to date
0
Altmetric
Research Articles

Dependence of optical properties of heterocentric astigmatic systems on internal elements, with application to the human eye

Pages 11-16 | Received 11 Jan 2012, Accepted 21 Feb 2012, Published online: 06 Jul 2012

REFERENCES

  • Bamberg , P. and Sternberg , S. 1988 . A Course in Mathematics for Students of Physics: 1 , Cambridge : Cambridge University Press .
  • Cardoso , J.R. and Harris , W.F. 2007 . Transformations of ray transferences of optical systems to augmented Hamiltonian matrices and the problem of the average system . South African Optometrist , 66 : 56 – 61 .
  • Evans , T. and Harris , W. F. 2011 . Dependence of the transference of a reduced eye on frequency of light . South African Optometrist , 70 : 149 – 155 .
  • Fassbender , H. 2010 . Symplectic Methods for the Symplectic Eigenproblem , New York : Kluwer .
  • Guillemin , V. and Sternberg , S. 1984 . Symplectic Techniques in Physics , Cambridge : Cambridge University Press .
  • Harris , W.F. 1994 . Paraxial ray tracing through noncoaxial astigmatic optical systems, and a 5×5 augmented system matrix . Optometry and Vision Science , 71 : 282 – 285 .
  • Harris , W.F. 1997 . Dioptric power: its nature and its representation in three- and four-dimensional space . Optometry and Vision Science , 74 : 349 – 366 .
  • Harris , W.F. 1999 . A unified paraxial approach to astigmatic optics . Optometry and Vision Science , 76 : 480 – 499 .
  • Harris , W.F. 2001a . Optical effects of ocular surgery including anterior segment surgery . Journal of Cataract and Refractive Surgery , 27 : 95 – 106 .
  • Harris , W.F. 2001b . Magnification, blur, and ray state at the retina for the general eye with and without a general optical instrument in front of it. 1. Distant objects . Optometry and Vision Science , 78 : 888 – 900 .
  • Harris , W.F. 2009 . Optical axes of eyes and other optical systems . Optometry and Vision Science , 86 : 537 – 541 .
  • Harris , W.F. 2010a . Transferences of heterocentric astigmatic catadioptric systems including Purkinje systems . Optometry and Vision Science , 87 : 778 – 786 .
  • Harris , W.F. 2010b . Cardinal points and generalizations . Ophthalmic and Physiological Optics , 30 : 391 – 401 .
  • Harris , W.F. 2010c . Nodes and nodal points and lines in eyes and other optical systems . Ophthalmic and Physiological Optics , 30 : 24 – 42 .
  • Harris , W.F. 2010d . Special rays and structures in general optical systems: generalized magnifications associated with the fundamental properties . South African Optometrist , 69 : 51 – 57 .
  • Harris , W.F. 2011a . Effective corneal patch of an astigmatic heterocentric eye . Ophthalmic and Physiological Optics , 31 : 79 – 90 .
  • Harris , W.F. 2011b . Pascal's ring, cardinal points, and refractive compensation . Vision Research , 51 : 1679 – 1685 .
  • Harris , W.F. 2011c . Graphical construction of cardinal points from the transference . South African Optometrist , 70 : 3 – 13 .
  • Harris , W.F. and Cardoso , J.R. 2006 . The exponential-mean-log-transference as a possible representation of the optical character of an average eye . Ophthalmic and Physiological Optics , 26 : 380 – 383 .
  • Harris , W.F. and van Gool , R.D. 2009 . Sensitivity of the corneal-plane refraction to change in power and axial position of an intraocular lens . South African Optometrist , 68 : 175 – 178 .
  • Kauderer , M. 1994 . Symplectic Matrices: First order systems and special relativity , 16 Singapore : World Scientific .
  • MacKenzie , G.E. 2005 . Linear Optics of the Pseudophakic Eye . DPhil dissertation, Rand Afrikaans University (now University of Johannesburg) .
  • Maxwell , J.C. 1877 . Hermann Ludwig Ferdinand Helmholtz . Nature , 15 : 389 – 391 .
  • McDuff , D. and Salamon , D. 1998 . Introduction to Symplectic Topology , 2nd edn , Oxford : Clarendon Press .
  • Misson , G.P. , Harris , W.F. , Cardoso , J.R. and van Gool , R.D. 2007 . Dimensionless ray transference . Ophthalmic and Physiological Optics , 27 : 502 – 505 .
  • Rabbetts , R.B. 2007 . Bennett & Rabbetts’ Clinical Visual Optics , 4th edn , 9 Edinburgh : Butterworth Heinemann Elsevier .
  • Thibos , L.N. , Bradley , A. , Still , D.L. , Zhang , X. and Howarth , P.A. 1990 . Theory and measurement of ocular chromatic aberration . Vision Research , 30 : 33 – 49 .
  • Torre , A. 2005 . Linear Ray and Wave Optics in Phase Space , Amsterdam : Elsevier .
  • Westheimer , G. 2006 . Specifying and controlling the optical image on the human retina . Progress in Retinal and Eye Research , 25 : 19 – 42 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.