🔬 Optical Lab Utility

Interactive Optical Prescription Transposition Calculator

Professional refractive formulas for SPH/CYL transposition, vertex distance compensation, and focal range calculations.

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1. Plus / Minus Cylinder Transposition

Converts optical prescriptions between Plus-Cylinder and Minus-Cylinder formats.

Transposed Prescription Result:
SPH: -3.25CYL: +0.75AXIS: 90°

Formula: New SPH = SPH + CYL | New CYL = −(CYL) | New AXIS = AXIS ± 90°

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2. Vertex Distance Compensation (Glasses ➔ Contacts)

Calculates power shift when moving lenses from 12mm spectacle distance to contact lens 0mm BVD.

Equivalent Contact Lens Power:
Contact Lens SPH: -4.72 DPower Adjustment: +0.28 D

Formula: Fc = Fg / (1 − d × Fg) where d = 12mm spectacle distance.

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3. Reading & Near Vision Focal Distance Calculator

Determines precise working distance for reading glasses based on ADD power.

Ideal Working Focal Distance:
50.0 cm19.7 inches

Formula: Focal Distance = 100 / ADD Power (in cm)

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