Sellmeier equation

The sell Meier equation is an empirically determined optical functional description of the dependence of the refractive index of a transparent medium by the wavelength of visible light. The equation is named after Wolfgang von Sell Meier, who published them in line with the Cauchy equation and Kramers -Kronig relation in 1871. Application finds especially in the technical optics to describe the dispersion of optical glass and other optical materials.

Mathematical Description

The sell - Meier equation can be considered an extension of the Cauchy equation, it reads:

With B1, 2,3 and C1, 2,3 as experimentally determined Sell Meier coefficients. The B1, 2,3 are dimensionless, and the C1, 2,3 are usually expressed in square microns.

The accuracy in the visible range is better than usually.

The right-hand term of the equation can be used for greater accuracy and to further form the summands

Be extended.

Substituting, so can be used as resonant wavelengths of absorption lines or bands explain.