The coherent electromagnetic field and the effect of the pair distribution function

• Main Authors: Gustavsson, M. (Author), Kristensson, G. (Author), Wellander, N. (Author)
• Format: Article
• Language: English
• Published: Elsevier Ltd 2022
• Subjects: Analytic solution; Coherent fields; Coherent scattering; Distribution functions; Electromagnetic fields; Electromagnetic scattering; Integral equations; Multiple-scattering; Pair correlation functions; Pair distribution functions; Percus-yevick approximations; Random scatterers; Simple++; Spherical particle
• Online Access: View Fulltext in Publisher

 The effect of two different pair correlation functions, used to model multiple scattering in a slab filled with randomly located spherical particles, is investigated. Specifically, the Percus-Yevick approximation is employed and a comparison with the simple hole correction is made. The kernel entries of the hole correction have an analytic solution, which makes the numerical solution of the integral equations possible. The kernel entries of Percus-Yevick approximation are integrated numerically after a subtraction of the slowly converging part in the integrand. Several numerical examples illustrate the effect of the two pair correlation functions, and we also make a comparison with the predictions Bouguer-Beer law gives. © 2022 The Author(s)