Optics

Brewster's Angle

tan⁡θB=n2n1\tan\theta_B = \frac{n_2}{n_1}

The angle of incidence at which reflected light is completely polarized.

Variables

θB
Brewster's angle
°
n1
Refractive index of medium 1
Allowed values: 1 or more
unitless
n2
Refractive index of medium 2
Allowed values: 1 or more
unitless

Your notes

0/5000

Check value

Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.

  • n1 = 1.5 (Refractive index of medium 1)
  • n2 = 2.5 (Refractive index of medium 2)

Result: θB = 59.036243 °

Where this formula is listed

Common questions

What is the Brewster's Angle formula?

Brewster's Angle is written tan θ_B = n₂/n₁. The angle of incidence at which reflected light is completely polarized. It belongs to Optics, under Polarization.

What are the units in tan θ_B = n₂/n₁?

In SI units, θ_B is brewster's angle, measured in °; n₁ is refractive index of medium 1 (dimensionless); n₂ is refractive index of medium 2 (dimensionless).