Lens Maker Equation Calculator

Lens Maker's Equation

Compute focal length and optical power from radii and refractive index.

2026-05-06T10:07:27.544Z

Results

Focal Length (f)

100.000 mm

Optical Power

10.000 D

Formula

1/f = (n − 1) × (1/R₁ − 1/R₂)

Use convex radii as positive and concave as negative (relative to the incoming light). f in mm returns power in diopters as 1000/f.

How to use

Set refractive index and the two surface radii (mm). The calculator updates focal length and optical power automatically.

Example

n=1.5, R₁=100 mm, R₂=-100 mm → symmetric lens; compute f and D using the tool.

FAQs

Q: Can radii be zero? A: No — radii must be non-zero. Q: Units? A: Radii in mm give f in mm and power in diopters (1000/f).

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