Originally Posted by
Robert Martellaro
Here is what happens if we don't get the eye's center of rotation/panto relationship right.
Martin's formula for tilt
S'= S{1+(sin a)^2/(2n)}
C'= S'(tan a)^2
S sph power
S' new power
a tilt
n index of refraction
C' induced cyl
Axis is 180 and the sign is equal to the sphere power
Rx is -10.00DS, panto 15 degrees, Trivex, 180 line bisects the pupil. I see this happen on a fairly frequent basis, usually with a narrow frame that sits too high.
Using the above formula, the power that the eye sees is -10.22 -.73 x 180.
To eliminate this error, the OC needs to be lowered 7.5mm (1mm per two degrees of tilt). The best way to do this is to pick a frame that puts the 180 line about 5mm below the pupil, and reduce the panto 5 degrees or lower the OC to 2.5mm below the 180. If a high dispersion lens is used, one might want to reduce the panto so that the OC can be closer the pupil, reducing chromatic aberration on the distance gaze.
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