Snell’s law

Snell’s law: use incident refractive index, transmitted refractive index, incident angle to the normal. Review the formula, worked example and calculation steps.

Inputs

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RESULT
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Formula & explanation
θ₂ = arcsin[(n₁/n₂) sin θ₁]

Variables & units

Incident refractive index
Numeric value · minimum 5e-324, maximum 1000000000000
Transmitted refractive index
Numeric value · minimum 5e-324, maximum 1000000000000
Incident angle to the normal
° · minimum 0, maximum 90

Worked example

Use the displayed example inputs, then follow the substituted values in the solution.

Assumptions

Angles are measured from the surface normal. Total internal reflection has no real transmitted angle.

References

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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