Brewster Angle⚠ unverified
Physics / Optics · Compute Brewster's angle for zero reflection of p-polarized light
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| n1 | n1 | — | 1.0 | Refractive index of the incident medium (dimensionless) |
| n2 | n2 | — | 1.0 | Refractive index of the transmitting medium (dimensionless) |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | θB | — | Brewster's angle, in degrees |
The science & history
Understanding the Parameters
- $n_2/n_1$ — larger relative index → larger Brewster angle from the normal.
- $\theta_B$ — e.g. air→glass ~56 deg. Output should be treated as radians unless converted.
Derivation (Approaching a Proof)
From Fresnel coefficients, $r_p = 0$ when $\theta_i + \theta_t = 90^{\circ}$. Combined with Snell’s law this yields $\tan\theta_B = n_2/n_1$.
History
Sir David Brewster (1815); basis of polarizing sunglasses and laser window mounts at Brewster’s angle.
Related Concepts: Fresnel Reflection, Snell's Law refraction angle, Malus Law, Critical Angle
Notes: Registry calculator brewster-angle (unverified). Dielectric interface; unit may be mislabelled.