Abstract
If an intraocular lens is displaced or if its power is changed what are the consequences for the refractive compensation of the eye? Gaussian optics is used to obtain explicit formulae for the sensitivity of the corneal-plane refractive compensation (also called the refraction, refractive state, etc) to change in power and axial displacement of a thin intraocular lens implanted in a simple eye. In particular, for a pseudophakic Gullstrand simplified eye with intraocular lens placed 5 mm behind the cornea the sensitivity to errors in the power of the intraocular lens is about 71 . 0 − 71 for an intraocular lens of power for an intraocular lens of power 20 D, that is, the refractive compensation decreases by about 0.71 dioptres per dioptre increase in the power of the intraocular lens. More generally the sensitivity is approximately ( ) m 0037 . 0 63 . 0 F − − 0.63 ( 003 . 0 63 . 0 − − (0.0037m)F where FI is the power of the intraocular lens. Also for Gullstrand’s simplified eye the sensitivity of refractive compensation to axial displacement of the intraocular lens is approximately linear in FI about (64D) FI , in fact. That is, for each dioptre of the power of the intraocular lens the refractive compensation increases by about 0.064 dioptres per millimetre of axial displacement towards the retina.
Highlights
How important is the positioning and the power of an intraocular lens? If the lens becomes displaced or the incorrect power is used what is the consequence for the refractive compensation of that eye? An accompanying paper[1] describes a general procedure for calculating the sensitivity of an optical property of an eye to change or error within the eye
The paper calculates the sensitivity of the corneal-plane refractive compensation of the eye to change in power and axial position of the intraocular lens
In order to display the ideas, minimally obscured by mathematics, use is made of the simplest reasonable optics (Gaussian optics) and the simplest pseudophakic eye
Summary
How important is the positioning and the power of an intraocular lens? If the lens becomes displaced or the incorrect power is used what is the consequence for the refractive compensation of that eye? An accompanying paper[1] describes a general procedure for calculating the sensitivity of an optical property of an eye to change or error within the eye. How important is the positioning and the power of an intraocular lens? The paper calculates the sensitivity of the corneal-plane refractive compensation of the eye to change in power and axial position of the intraocular lens. The anterior part has entrance plane T0 immediately in front of the cornea K and exit plane TI immediately in front of the intraocular lens I. It consists of a thin system (the cornea) of power FK followed by a homogeneous gap of reduced width ζA. Its structure is optically similar: it consists of a thin system (an intraocular lens I) of power FI and a homogeneous gap of reduced width ζP. The index of refraction is n within the eye and 1 in front of the eye
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