Optical properties of α-Sn

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Abstract
A method is described for calculation of the real (ε1) and imaginary (ε2) parts of the dielectric function of α-Sn at temperatures of 296 and 100 K in the entire range of photon energies (0–6.0 eV), in which the model is based on the Kramers–Kronig transformation and strongly connected with the electronic energy-band structure of the medium. This model reveals distinct structures at energies of the E1, E1+Δ1 [three-dimensional (3D) M1 critical point (CP), or two-dimensional (2D) M0 CP], E′0, E0+Δ′0 (3D M0 CP), E2 [a mixture of damped harmonic oscillator (DHO) and 2D M2 CP], E1, and E′1+Δ1 CPs (DHO). Results are in satisfactory agreement with the experimental information over the entire range of photon energies. Dielectric-connected optical data of α-Sn, the normal-incidence reflectivity, the refractive index, and the extinction coefficient are also presented as an example of the ability of our model.