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Physics & engineering

Snell’s law refraction angle

Snell’s law refraction angle: n₁sin θ₁ = n₂sin θ₂.

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How it works

n₁sin θ₁ = n₂sin θ₂. Angles are measured from the surface normal. Detect total internal reflection.

Input definitions

Incident medium refractive index
Enter the value in the labeled unit.
Transmitted medium refractive index
Enter the value in the labeled unit.
Incident angle from the normal (degrees)
Enter the value in the labeled unit.

A worked example

Incident medium refractive index
1
Transmitted medium refractive index
1.5
Incident angle from the normal (degrees)
30
19.471221

Assumptions & limits

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

When does total internal reflection occur?

When light travels from higher to lower refractive index above the critical incident angle. No real transmitted ray angle then exists.

How does Snell’s law refraction angle work?

n₁sin θ₁ = n₂sin θ₂. Angles are measured from the surface normal. Detect total internal reflection.

What should I check before using Snell’s law refraction angle?

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

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