Brewster Angle Calculator
Compute Brewster's angle tanθ_B = n₂/n₁ for reflected polarization.
Input Data
N1
N2
Results
θ_B = arctan(n₂/n₁).
56.309932°
In radians.
0.98279372rad
Refracted angle at Brewster.
33.690068°
Equals 90° at Brewster.
90°
At a glance:tanθ_B = n₂/n₁; at Brewster the reflected ray is polarized and θ_B + θ_r = 90°. Complements snells-law and critical-angle.
Formula
tanθ_B = n₂/n₁.
$$\tan\theta_B = \frac{n_2}{n_1}$$$$\theta_B = \arctan\frac{n_2}{n_1}$$How to Use
- Enter n₁ and n₂.
- The tool returns Brewster and refracted angles.
Case Studies
air→glass n₁=1, n₂=1.5
θ_B ≈ 56.3°.
FAQ
Why 90° sum?
Reflected and refracted rays are perpendicular at Brewster's angle.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.