Calculatorism

Lens Maker's Equation Calculator

Compute focal length from refractive index and surface radii (1/f = (n−1)(1/R₁−1/R₂)).

Input Data

Lens refractive index n.
First surface radius R₁.
m
Second surface radius R₂.
m
Lens thickness (thin-lens approx).
m

Results

f in cm.
25cm
P = 1/f (m).
4D (1/m)
1/f.
41/m

At a glance:1/f = (n−1)(1/R₁ − 1/R₂) (thin lens). Complements lens-formula and lens-power.

Formula

1/f = (n−1)(1/R₁ − 1/R₂).

How to Use

  1. Enter n and the two radii.
  2. The tool returns f and power.

Case Studies

n=1.5, R₁=0.1, R₂=−0.1

f = 0.1 m (10 cm), P=10 D.

FAQ

Sign of radii?

Convex surface positive, concave negative (per convention).

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Lens Maker's Equation Calculator(/physics/lens-makers-equation)。