Ângulo de Brewster

tan θ_B = n₂/n₁.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

θ_B
56,31 °

Formula

tan θ_B = n₂/n₁

About this calculator

The Brewster Angle calculator determines the angle of incidence at which reflected light is completely polarized. This phenomenon occurs when light strikes the interface between two media with different refractive indices, and the Brewster angle is given by the formula tan θ_B = n₂/n₁, where n₁ is the refractive index of the incident medium and n₂ of the transmitted medium. The calculator uses this relationship to provide the angle in degrees.

How to use: enter the refractive indices of the two media. For example, for light passing from air (n₁ ≈ 1.0003) to glass (n₂ ≈ 1.5), the Brewster angle is approximately 56.3°. The result is useful in optics for polarizers, lasers, and reducing reflections on surfaces. The calculator can also be used to compute the critical angle if needed, though the focus is on the Brewster angle.

Precautions: ensure you use the correct refractive indices for the wavelength of light, as they vary with color. Also, the Brewster angle only applies when light travels from a lower index to a higher index medium (n₁ < n₂). Otherwise, total internal reflection may occur. The calculator assumes isotropic, non-magnetic media.

Frequently asked questions

What is the Brewster angle?

It is the angle of incidence at which reflected light is completely polarized, occurring when the reflected and refracted rays are perpendicular.

How to calculate the Brewster angle?

Use the formula tan θ_B = n₂/n₁, where n₁ and n₂ are the refractive indices of the incident and transmitted media, respectively.

Does the Brewster angle depend on light color?

Yes, because the refractive index varies with wavelength. For white light, the angle is an average, but each color has its own angle.

Can I use the calculator for any pair of media?

Yes, as long as light travels from a lower index to a higher index medium. Otherwise, the Brewster angle is not defined.

What are practical applications of the Brewster angle?

It is used in polarizers, sunglasses, lasers, and to reduce reflections on lenses and screens.

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