Science & Education
Snell's Law Calculator
· Last updated：2026-08-29
n₁·sinθ₁ = n₂·sinθ₂ for either angle, with the total-internal-reflection regime and critical angle when sinθ exceeds 1.
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Tool usage guide
Learn when to use this tool, what it supports, and how real users apply it.
Key facts
- Category
- Science & Education
- Input types
- select, number
- Output type
- text
- Sample coverage
- 4
- API ready
- Yes
When to use
- Determining the refracted angle of a light beam crossing an interface between two optical materials.
- Back-calculating the required angle of incidence needed to achieve a target exit angle.
- Evaluating whether an incident ray entering a rarer medium exceeds the critical angle and undergoes total internal reflection.
How it works
- 1Select whether to solve for the refraction angle (θ₂) or the incidence angle (θ₁).
- 2Enter the refractive indices for the incident medium (n₁) and the refracted medium (n₂).
- 3Specify the known angle value in degrees.
- 4The calculator applies Snell's law to yield the resulting angle, ray bending behavior, and any critical angle thresholds.
The calculator yields a refracted angle of 48.59° bending away from the normal and displays the critical angle threshold at 41.81°.