Physics

Snell’s Law Calculator

Find refraction angle from two refractive indices and the incidence angle.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

Define your system

Runs on your device

Your calculated quantity

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter incident refractive index, transmitted refractive index, angle from normal.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

n1 sin(θ1)=n2 sin(θ2). If the computed sine exceeds one, total internal reflection occurs.

A WORKED EXAMPLE

Using incident refractive index = 1, transmitted refractive index = 1.5, angle from normal = 30 degrees, the result is 19.4712206 degrees. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Angles are measured from the surface normal. Homogeneous isotropic media and a single wavelength are assumed.

What to keep in mind

Angles are measured from the surface normal. Homogeneous isotropic media and a single wavelength are assumed. An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Common questions

How do I use this snell’s law calculator?

Find refraction angle from two refractive indices and the incidence angle. Enter incident refractive index, transmitted refractive index, angle from normal in degrees. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Angles are measured from the surface normal. Homogeneous isotropic media and a single wavelength are assumed.

Methodology maintained by ClarityKit. How these tools are built and checked.