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The Kubelka–Munk model and Dyck paths

Markus Voge
Klaus Simon
Journal / Anthology

Journal of Statistical Mechanics : Theory and Experiment
Year: 2007
Issue: February

We present a discrete model for light reflection and transmission of turbid media based on lattice paths. We compare the results with the popular Kubelka–Munk model. We introduce a substitution that allows for a lateral scattering interpretation of the scattering and absorption coefficients. The underlying mathematical structure is governed by Chebyshev polynomials of the second kind.

*Science > Physics > Thermodynamics and Statistical Mechanics

solvable lattice models, rigorous results in statistical mechanics, algebraic structures of integrable models