Optics

Optical Path Length

OPL=ndOPL = n \cdot d

The optical path length accounts for the change in wavelength when light travels through a medium. It equals the distance light would travel in vacuum in the same number of wavelengths.

Variables

OPL
Optical path length
m
n
Refractive index
unitless
d
Geometric path length
m

Derivation

Since wavelength decreases by factor n in a medium (λ_medium = λ_vacuum/n), the optical path length is n times the geometric path.

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Common questions

What is the Optical Path Length formula?

Optical Path Length is written OPL = n ·d. The optical path length accounts for the change in wavelength when light travels through a medium. It equals the distance light would travel in vacuum in the same number of wavelengths. It belongs to Optics, under Wave Optics.

What are the units in OPL = n ·d?

In SI units, OPL is optical path length, measured in m; n is refractive index (dimensionless); d is geometric path length, measured in m.

How is the Optical Path Length formula derived?

Since wavelength decreases by factor n in a medium (λ_medium = λ_vacuum/n), the optical path length is n times the geometric path. The result is OPL = n ·d.