Critical Angle
Find the critical angle from a denser optical medium.
Your numbers
Critical angle from normal
Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.
Scenario comparison
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Formula
Use θ = asin(n₂/n₁). n₁ is incident refractive index and n₂ is transmitted refractive index, with n₁ > n₂. The critical angle is measured from the normal and displayed in degrees.
Find the critical angle from a denser optical medium.
Worked example
- Incident refractive index
- 1.5
- Transmitted refractive index
- 1
- Critical angle from normal
- 41.8103148958 °
Scope and limitations
Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 66694fcec2c1 · Example checked: