Abstract

The dependences of the transmittances of light by crystals on their thickness are obtained by means of mathematical modelling, taking into account the ratios between the scattering and absorption probabilities of photons. It is shown that, since Bouguer's law for the attenuation of the light intensity is not obeyed in crystals with appreciable scattering, the use of known formulas that connect the attenuation coefficients with the transmittances can lead to incorrect conclusions relative to the homogeneity of the properties of the test samples. The results of the calculations are experimentally verified on single crystals and polycrystalline samples of germanium.

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F. Bloisi, C. Ruocchio, P. Terrecuso, and L. Vicari
Opt. Lett. 21(2) 95-97 (1996)

Cell-thickness dependence of color properties for a twisted nematic liquid crystal display

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Thickness-dependent photonic bandgap in a one-dimensional single-negative photonic crystal

Da-Wei Yeh and Chien-Jang Wu
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Negative refraction in Photonic Crystals: thickness dependence and Pendellösung phenomenon

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Polarization and thickness dependent guiding in the photonic crystal slab waveguide

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