Refraction angle from enviroments

If ray of light comes from one medium to another, it refracts. The law, also known as Snell’s law, states that, for a given pair of media, the ratio of the sines of angle of incidence and angle of refraction is equal to the refractive index of the second medium with regard to the first.

Conditions:

1. Light is monochromatic, as the refractive index depends on the light frequency.

2. The refracting medium is uniform, so that the refracting index does not change over the ray path.

3. Incoming ray, refracted ray and perpendicular to medium boundary are within the same plane.

Links:

1. Wikipedia.

incidence_refractive_index

relative_refractive_index of the medium in which the indicent ray travels.

Symbol:

n_1

Latex:

\(n_{1}\)

Dimension:

dimensionless

resulting_refractive_index

relative_refractive_index of the medium in which the refracted ray travels.

Symbol:

n_2

Latex:

\(n_{2}\)

Dimension:

dimensionless

incidence_angle

angle of incidence.

Symbol:

phi_1

Latex:

\(\varphi_{1}\)

Dimension:

angle

refraction_angle

angle of refraction.

Symbol:

phi_2

Latex:

\(\varphi_{2}\)

Dimension:

angle

law

n_1 * sin(phi_1) = n_2 * sin(phi_2)

Latex:

\[n_{1} \sin{\left(\varphi_{1} \right)} = n_{2} \sin{\left(\varphi_{2} \right)}\]