A sample of coloured glass 5.0 mm thick transmits 10% of the incident intensity at a…

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Wave propagation and light in media · Wave propagation and light in media

What an Instrument Can See, Ch The optical constants of a medium

Problem

A sample of coloured glass 5.0 mm thick transmits 10% of the incident intensity at a vacuum wavelength of 500 nm. Reflection losses at the two surfaces are negligible, and the glass obeys Beer's law, I=I0e−αzI = I_0 e^{-\alpha z}, throughout its thickness. ((a)) Find the absorption coefficient α\alpha. ((b)) Find the extinction coefficient κ\kappa at this wavelength. ((c)) Express the attenuation as a figure in decibels per millimetre.

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