Ellipsometry on a bulk

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Dielectric and optical properties of solids · Dielectric and optical properties of solids

Solid State Physics, Ch Optical properties: interband absorption, excitons and luminescence

Problem

Ellipsometry on a bulk, film-free CdTe crystal at a photon energy of

1.50\,\mathrm{eV}

gives a complex refractive index

\tilde n = n_{\rm opt}+i\kappa_{\rm opt}

with

n_{\rm opt}=2.90

and

\kappa_{\rm opt}=0.050

. Light is incident normally from air (refractive index

1

) and the surface is optically flat. ((a)) Find the relative permittivity

\varepsilon_1+i\varepsilon_2

. ((b)) Find the normal-incidence reflectivity

R

. ((c)) Find the absorption coefficient

\alpha

\mathrm{cm^{-1}}

and the absorption depth

1/\alpha

\mu\mathrm{m}

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