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In this paper, a technique is developed to compute values of the chirality, permittivity, and permeability of a dielectric reciprocal chiral slab from the knowledge of limited laboratory measurement information. The chirality parameter is a function of frequency and depth of the slab. The developed technique is based on the use of coupled differential equations for the Green functions associated with electromagnetic propagation through the slab. The technique makes use of the Nth degree interpolation polynomials to approximate the Green functions and the chiral parameter among other functions using Legendre-Gauss-Lobatto collocation points. Numerical results from a laboratory measurement simulation are given to demonstrate the validity of the proposed technique.