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The dispersion coefficient is frequently modeled as the product of the fluid velocity, U, and some characteristic length scale, α:
In addition, he developed curves that are now interpreted as the vertical and horizontal dispersion coefficients, σ and σ.
In an optical fiber, the material dispersion coefficient, M(λ), characterizes the amount of pulse broadening by material dispersion per unit length of fiber and per unit of spectral width.
In particular, Riemann-Hilbert factorization problems are used to extract asymptotics for the three problems above (say, as time goes to infinity, or as the dispersion coefficient goes to zero, or as the polynomial degree goes to infinity, or as the size of the permutation goes to infinity).