&lt;title&gt;The Refractive Index Of Cd&lt;formula&gt;&lt;inf&gt;&lt;roman&gt;x&lt;/roman&gt;&lt;/inf&gt;&lt;/formula&gt;Hg&lt;formula&gt;&lt;inf&gt;&lt;roman&gt;1-x&lt;/roman&gt;&lt;/inf&gt;&lt;/formula&gt;Te&lt;/title&gt;

B Jensen,A Torabi

doi:10.1117/12.935730

Abstract

The refractive index n of the ternary compound Cd<sub>x</sub>Hg<sub>l-x</sub>Te is calculated as a function of frequency and mole fraction x in terms of known experimental parameters. The theoretical result for n is obtained from a quantum mechanical calculation of the dielectric constant of a compound semiconductor, which has been successfully applied to a number of III V and II VI binary and ternary compounds for which experimental data are available. It is given in terms of basic material parameters only, with no adjustable constants. These material parameters consist of band gap energy, effective electron mass and effective heavy hole mass at the band edge, the spin-orbit splitting energy, the lattice constant and the carrier concentration for n-type or p-type materials. If these parameters are known as functions of mole fraction x, the refractive index is completely determined as a function of frequency below the fundamental absorption edge.

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