The Brewster's angle, also known as the polarization angle, is the angle at which light with a particular polarization is perfectly transmitted through a transparent dielectric material, like glass, with no reflection.
The formula to calculate Brewster's angle (ΞΈβ) is:
\[
\tan(\theta_p) = \frac{n_2}{n_1}
\]
Where:
- \(n_1\) is the refractive index of the medium the light is coming from (like air, which has a refractive index of approximately 1),
- \(n_2\) is the refractive index of the material the light is entering (like glass, which typically has a refractive index around 1.5).
For glass, assuming the refractive index \(n_2\) is about 1.5 and \(n_1\) (for air) is 1, you can calculate the Brewster's angle as:
\[
\tan(\theta_p) = \frac{1.5}{1} = 1.5
\]
Now, take the arctangent (inverse tangent) of 1.5:
\[
\theta_p = \tan^{-1}(1.5) \approx 56.3^\circ
\]
So, the Brewster's angle for glass is approximately
56.3 degrees.