General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye
Optical properties of the eye, including the refractive compensation, for example, may change if there are changes in any of the components that make up the eye. The sensitivity to such changes isquantified via the derivative. This paper employs the reduced eye and Gaussian optics to illustrate a...
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| Format: | Article |
| Language: | English |
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AOSIS
2009-12-01
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| Series: | African Vision and Eye Health |
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| Online Access: | https://avehjournal.org/index.php/aveh/article/view/169 |
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| author | W. F. Harris |
| author_facet | W. F. Harris |
| author_sort | W. F. Harris |
| collection | DOAJ |
| description | Optical properties of the eye, including the refractive compensation, for example, may change if there are changes in any of the components that make up the eye. The sensitivity to such changes isquantified via the derivative. This paper employs the reduced eye and Gaussian optics to illustrate a general method for the analysis of sensitivity in eyes. The method requires a clear statement of the dependent variable as a function of independent variables. A symbolism is offered that makes the function unambiguous. Sensitivities are determined for the fundamental optical properties,the transference and the corneal-plane refractivecompensation of a reduced eye to change in corneal power, curvature and radius of curvature and to change in axial length and index of refraction. Emsley’s reduced eye is examined in particular. Its corneal-plane refractive compensation has a sensitivity of 135 −135 D to change in refractive index, 1 −
2.7 D/mm to change in length and 135 −1/3 to change in corneal curvature when the other two independent variables are held fixed. The method has the potential to develop guidelines that are useful clini-
cally. |
| first_indexed | 2024-12-23T11:30:53Z |
| format | Article |
| id | doaj.art-52aa779c51fe4b83b305a93af479204e |
| institution | Directory Open Access Journal |
| issn | 2413-3183 2410-1516 |
| language | English |
| last_indexed | 2024-12-23T11:30:53Z |
| publishDate | 2009-12-01 |
| publisher | AOSIS |
| record_format | Article |
| series | African Vision and Eye Health |
| spelling | doaj.art-52aa779c51fe4b83b305a93af479204e2022-12-21T17:48:48ZengAOSISAfrican Vision and Eye Health2413-31832410-15162009-12-0168416617510.4102/aveh.v68i4.169138General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eyeW. F. Harris0Department of Optometry, University of JohannesburgOptical properties of the eye, including the refractive compensation, for example, may change if there are changes in any of the components that make up the eye. The sensitivity to such changes isquantified via the derivative. This paper employs the reduced eye and Gaussian optics to illustrate a general method for the analysis of sensitivity in eyes. The method requires a clear statement of the dependent variable as a function of independent variables. A symbolism is offered that makes the function unambiguous. Sensitivities are determined for the fundamental optical properties,the transference and the corneal-plane refractivecompensation of a reduced eye to change in corneal power, curvature and radius of curvature and to change in axial length and index of refraction. Emsley’s reduced eye is examined in particular. Its corneal-plane refractive compensation has a sensitivity of 135 −135 D to change in refractive index, 1 − 2.7 D/mm to change in length and 135 −1/3 to change in corneal curvature when the other two independent variables are held fixed. The method has the potential to develop guidelines that are useful clini- cally.https://avehjournal.org/index.php/aveh/article/view/169sensitivityerrortransferencederivativeGaussian opticsreduced eye |
| spellingShingle | W. F. Harris General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye African Vision and Eye Health sensitivity error transference derivative Gaussian optics reduced eye |
| title | General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye |
| title_full | General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye |
| title_fullStr | General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye |
| title_full_unstemmed | General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye |
| title_short | General approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the Gaussian optics of a reduced eye |
| title_sort | general approach to the sensitivity of the optics of an eye to change in elementary parameters with application to the gaussian optics of a reduced eye |
| topic | sensitivity error transference derivative Gaussian optics reduced eye |
| url | https://avehjournal.org/index.php/aveh/article/view/169 |
| work_keys_str_mv | AT wfharris generalapproachtothesensitivityoftheopticsofaneyetochangeinelementaryparameterswithapplicationtothegaussianopticsofareducedeye |