01 Jul engineering
Spectroscopic ellipsometry measurements on a germanium crystal at a photon energy of 1.5 eV showthat the real and imaginary parts of the complex relative permittivity are 21.56 and 2.772 respectively.Find the complex refractive index. What is the reflectance and absorption coefficient at this wavelength?How do your calculations match with the experimental values of n = 4.653 and K = 0.298, R = 0.419 andα = 4.53 × 106 m-1 ?a. Show that the attenuation coefficient a due to free carrier absorption is given byα ω εεσ =″= c n c nro1Free carrier absorptionwhere ω is the angular frequency of the EM radiation, εr″ is the imaginary part of the relativepermittivity, n is the refractive index and σ is the conductivity due to free carriers in the sample.b. Intrinsic germanium has a conductivity of about 2.1 Ω-1 m-1. Calculate the imaginary part εr″ of therelative permittivity at a wavelength of 20 μm. Find the attenuation coefficient α due to free carrierabsorption. The refractive index of germanium at the specified wavelength is n = 4.
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