Relative refractive index is ratio of wave speeds

If a wave is moving from one medium to another, it refracts due to the difference of propagation speeds in the two media. Relative refractive index describes how much slower the wave propagates in the refracting medium relative to the incident medium.

Conditions:

  1. Both media are isotropic and transparent.

  2. The wave is monochromatic. Note that the speed of wave propagation depends on the wave frequency.

Links:

  1. Wikipedia, first equation.

relative_refractive_index

relative_refractive_index between the two media.

Symbol:

n

Latex:

\(n\)

Dimension:

dimensionless

incident_wave_speed

phase_speed of the incident wave.

Symbol:

v_incident

Latex:

\(v_\text{incident}\)

Dimension:

velocity

refracted_wave_speed

phase_speed of the refracted wave.

Symbol:

v_refracted

Latex:

\(v_\text{refracted}\)

Dimension:

velocity

definition

n = v_incident / v_refracted

Latex:
\[n = \frac{v_\text{incident}}{v_\text{refracted}}\]