New Model for the Dielectric Function of Amorphous Material

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Though lacking in long range order, amorphous materials possess significant short range order that is geometrically very similar to their crystalline counterparts. As a result, it is possible to estimate the dielectric function of amorphous materials from the materials' crystalline optical constants using a simple transform. The technique assumes that there is a continuous distribution of oscillators (CDO), each with its own resonant frequency. The distribution in frequencies is a result of a parallel distribution in ionic spacing. By convoluting the crystalline permittivity with a suitable function representing the distribution of resonant frequencies, we demonstrate that the dielectric functions for amorphous quartz and olivine can be computed with reasonable accuracy. The technique provides a simple means of computing the gross influence of atomic disorder on spectral characteristics of cosmic dust.

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