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Cauchy's dispersion equation reconsidered: Dispersion in silicate glasses
Authors:D Y Smith  Mitio Inokuti  W Karstens
Institution:1. Department of Physics , University of Vermont , 05405 , USA;2. Physics Division , Argonne National Laboratory , Argonne , IL , 60439 , USA;3. Physics Division , Argonne National Laboratory , Argonne , IL , 60439 , USA;4. St. Michael's College , Colchester , VT , 05439 , USA
Abstract:

We formulate a novel method of characterizing optically transparent substances using dispersion theory. The refractive index is given by a generalized Cauchy dispersion equation with coefficients that are moments of the uv and ir absorptions. Mean dispersion, Abbé number, and partial dispersion are combinations of these moments. The empirical relation between index and dispersion for families of glasses appears as a consequence of Beer's law applied to the uv spectra.
Keywords:Optical Properties  Dispersion  Dispersion Formulas  Abbé Number  Optical Glass
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