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Sellmeier Equation

Last modified by
on
Nov 10, 2020, 12:59:27 AM
Created by
on
Jul 1, 2016, 5:34:11 PM
`n^2(lambda) = 1+( B_1 * lambda ^2)/( lambda ^2- C_1 )+( B_2 * lambda ^2)/( lambda ^2- C_2 )+( B_3 * lambda ^2)/( lambda ^2- C_3 )`
`(lambda)"Lambda"`
`(B_1)"Coefficient"`
`(C_1)"Coefficient"`
`(B_1)"Coefficient"`
`(C_2)"Coefficient"`
`(B_3)"Coefficient"`
`(C_3)"Coefficient"`
Tags
Physics Optics
UUID
05f5f56f-3fb2-11e6-9770-bc764e2038f2

The Sellmeier Equation calculator computes the Sellmeier relationships between refractive wave index and wavelength based on the wavelength of a transparent medium and several coefficients.

INSTRUCTION:Choose units and enter the following:

  • (λ) Wavelength
  • (B1) Coefficient
  • (C1) Coefficient
  • (B2) Coefficient
  • (C2) Coefficient
  • (B3) Coefficient
  • (C3) Coefficient

Sellmeier Value (n2): The calculator returns the ratio as a real number.

The Math / Science

The Sellmeier Equation is an empirical relationship between refractive index and wavelength for a particular transparent medium. The equation is used to determine the dispersion of light in the medium. The usual form of the equation for glasses is 

`n^2(lambda)=1+(B_1lambda^2)/(lambda^2-C_1)+(B_2lambda^2)/(lambda^2-C_2)+(B_3lambda^2)/(lambda^2-C_3)`, 

where:

  • n2 = Sellmeier Value
  • `lambda` = wavelength
  • `B_1` = Coefficient
  • `C_1` = Coefficient
  • `B_2` = Coefficient
  • `C_2` = Coefficient
  • `B_3` = Coefficient
  • `C_3` = Coefficient

References

The formula and definition of the Sellmeier Equation are from Wikipedia (https://en.wikipedia.org/wiki/Sellmeier_equation).
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