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Prism Calculator

Prentice's Rule

Calculate induced prism from decentration or find the decentration needed for prescribed prism.

Use sphere power or power in the meridian of interest

Distance from optical center to pupil position

Understanding Prentice's Rule

Prism (Δ) = Decentration (cm) × Power (D)

or: Δ = d × F (where d is in cm and F is in diopters)

Key Concepts:

  • Induced prism occurs when the optical center doesn't align with the pupil
  • Base direction: For minus lenses, base is toward the thicker edge (toward decentration). For plus lenses, base is toward the thinner edge (away from decentration)
  • Vertical imbalance: When eyes look through different prism amounts, usually >1.5Δ difference is problematic

Common Applications:

  • Checking vertical imbalance in progressive lenses
  • Calculating slab-off requirements
  • Grinding prism by decentration to save cost
  • Troubleshooting patient complaints about new glasses