Lensmaker's Equation Calculator

This calculator helps you determine the focal length of a lens using the lensmaker's equation. Ideal for students, educators, and professionals in the field of optics.

Data Source and Methodology

All calculations are strictly based on the lensmaker's formula as outlined in standard physics textbooks. For more information, consult reliable physics resources or educational material.

The Formula Explained

The lensmaker's equation is given by:

\( \frac{1}{f} = (n - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right) \)

Glossary of Variables

n: Refractive index of the material.
R1: Radius of curvature of the first surface of the lens.
R2: Radius of curvature of the second surface of the lens.
f: Focal length of the lens.

How It Works: A Step-by-Step Example

When calculating the focal length, you input the refractive index and the radii of curvature for the lens surfaces. The calculator applies the lensmaker's equation to provide the focal length.

Frequently Asked Questions (FAQ)

What is the lensmaker's equation?

The lensmaker's equation is used to calculate the focal length of a lens based on its radii of curvature and refractive index.

Why are two radii of curvature required?

A lens typically has two surfaces, each with its own curvature. These are needed to accurately calculate focal length.

What is refractive index?

Refractive index is a measure of how much light bends when it enters a material.

Can this calculator be used for any lens material?

Yes, as long as you know the refractive index of the material, this calculator can be used.

Is this calculator accurate?

This calculator is based on standard physics equations and should provide accurate results with correct input values.

Tool developed by Ugo Candido. Content verified by the Optics Expert Team.
Last reviewed for accuracy on: October 10, 2023.