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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. It was first proposed in 1872 by Wolfgang Sellmeier and was a development of the work of Augustin Cauchy on Cauchy's equation for modelling ...
The stationary solution of this equation of motion is: = / () The fact that the above solution is complex means there is a time delay (phase shift) between the driving electric field and the response of the electron's motion.
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]
where n is the refractive index, λ is the wavelength, A, B, C, etc., are coefficients that can be determined for a material by fitting the equation to measured refractive indices at known wavelengths. The coefficients are usually quoted for λ as the vacuum wavelength in micrometres. Usually, it is sufficient to use a two-term form of the ...
The Forouhi–Bloomer dispersion equations for n and k were originally expected to apply to semiconductors and dielectrics, whether in amorphous, polycrystalline, or crystalline states. However, they have been shown to describe the n and k spectra of transparent conductors, [ 5 ] as well as metallic compounds.
The general form of the model is given by = + ()where is the relative permittivity, is the photon energy (related to the angular frequency by =),; is the value of the relative permittivity at infinite energy,
Let = + and ¯ = where and are real.. Let () = (,) + (,) be any holomorphic function.. Example 1: = (+) + Example 2: = + In his article, [1] Milne ...
The matrix above can be used with the molar refractivity equation and other data to produce density data for crystallography. Each polarizability measurement along with the refractive index associated with its direction will yield a direction specific density that can be used to develop an accurate three dimensional assessment of molecular ...