Optical path length from geometrical path length and refractive index

Geometrical path length is the Euclidean distance integrated along a light ray between any two points.

Conditions:

  1. The environment must be homogeneous.

Links:

  1. Wikipedia, first formula.

optical_path

Optical path length of the light ray. See optical_distance.

Symbol:

Lambda

Latex:

\(\Lambda\)

Dimension:

length

geometrical_path

Geometrical path length of the light ray. See distance.

Symbol:

s

Latex:

\(s\)

Dimension:

length

refractive_index

relative_refractive_index of the medium.

Symbol:

n

Latex:

\(n\)

Dimension:

dimensionless

law

Lambda = n * s

Latex:
\[\Lambda = n s\]