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PHYSICS / OPTICS

Snell Law Refraction Angle Calculator

Calculate transmitted angle using Snell law. Review the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate transmitted angle using Snell law. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

theta2=asin(n1 sin(theta1)/n2)

What you provide

What you provide

  • Incident refractive index, using the same scenario as the other inputs
  • Incident angle expressed in deg, using the same scenario as the other inputs
  • Transmitted refractive index, using the same scenario as the other inputs

What you receive

What you receive

  • Refraction angle in deg from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

This ideal SI model excludes real losses, tolerances, uncertainty, and safety design.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors