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While Cauchy's equation (blue line) deviates significantly from the measured refractive indices outside of the visible region (which is shaded red), the Sellmeier equation (green dashed line) does not. The Sellmeier equation is an empirical relationship between refractive index and wavelength for a particular transparent medium.
Wolfgang Sellmeier was a German theoretical physicist who made major contributions to the understanding of the interactions between light and matter. [1] In 1872 he published his seminal work Ueber die durch die Aetherschwingungen erregten Mitschwingungen der Körpertheilchen und deren Rückwirkung auf die ersteren, besonders zur Erklärung der Dispersion und ihrer Anomalien. [2]
Download QR code; Print/export Download as PDF; ... Table of Coefficients of Sellmeier equation; Coefficient: for ordinary wave: for extraordinary wave: B 1: 1.43134930:
The Forouhi–Bloomer dispersion equations describe how photons of varying energies interact with thin films. When used with a spectroscopic reflectometry tool, the Forouhi–Bloomer dispersion equations specify n and k for amorphous and crystalline materials as a function of photon energy E.
This formula generalizes the one in the previous section for homogeneous media and includes both waveguide dispersion and material dispersion. The reason for defining the dispersion in this way is that | D | is the (asymptotic) temporal pulse spreading Δ t per unit bandwidth Δ λ per unit distance travelled, commonly reported in ps /( nm ⋅ ...
In optics, Cauchy's transmission equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin-Louis Cauchy , who originally defined it in 1830 in his article "The refraction and reflection of light".
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The idealized equation involving a trisilicate and sulfuric acid is: Na 2 Si 3 O 7 + H 2 SO 4 3 SiO 2 + Na 2 SO 4 + H 2 O {\displaystyle {\ce {Na2Si3O7 + H2SO4 -> 3 SiO2 + Na2SO4 + H2O}}} Approximately one billion kilograms/year (1999) of silica were produced in this manner, mainly for use for polymer composites – tires and shoe soles.