Optometry Toolkit — Complete User Guide
Spherical equivalent calculation, prescription conversion (negative↔positive cylinder), Jackson cross-cylinder analysis. One tool for all routine optometry calculations.
spherical equivalentSE calculationcylinder conversionJackson cross-cylinderoptometry formula
Spherical Equivalent Calculation
Formula: SE = Sph + 0.5 × Cyl
Spherical equivalent combines sphere and cylinder into a single equivalent diopter value, used for IOL calculation, myopia progression assessment, and anisometropia evaluation.
Examples
- -3.00 DS / -1.00 DC × 180 → SE = -3.00 + 0.5×(-1.00) = -3.50D
- +2.00 DS / +1.50 DC × 90 → SE = +2.00 + 0.5×(+1.50) = +2.75D
Prescription Conversion
Optical equivalence principle: sphere difference = difference of two cylinders, new axis = old axis ± 90°
Example: -2.00 DS / -1.00 DC × 180 → Converted to: -3.00 DS / +1.00 DC × 90
Jackson Cross-Cylinder (JCC)
Uses
- Fine-tuning precise astigmatism axis and power
- Measuring fusional crossed cylinder (FCC) in presbyopia refraction
JCC Reading Method
Place red/white dots on each side of expected axis; compare clarity with flip method:
- When both directions are equally clear, current axis is the precise axis
- When one direction is clearer, adjust axis toward that direction
References
- Benjamin WJ. Borish's Clinical Refraction. 2nd ed. Butterworth-Heinemann, 2006.