Holey random walks: Optics of heterogeneous turbid composites
Authors: Svensson T., Vynck K., Grisi M., Savo R., Burresi M., Wiersma D.
Autors Affiliation: European Laboratory for Non-Linear Spectroscopy, University of Florence, Via Nello Carrara 1, 50019 Sesto Fiorentino, Firenze, Italy; Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche, Largo Fermi 6, 50125 Firenze, Firenze, Italy
Abstract: We present a probabilistic theory of random walks in turbid media with nonscattering regions. It is shown that important characteristics such as diffusion constants, average step lengths, crossing statistics, and void spacings can be analytically predicted. The theory is validated using Monte Carlo simulations of light transport in heterogeneous systems in the form of random sphere packings and good agreement is found. The role of step correlations is discussed and differences between unbounded and bounded systems are investigated. Our results are relevant to the optics of heterogeneous systems in general and represent an important step forward in the understanding of media with strong (fractal) heterogeneity in particular. DOI: 10.1103/PhysRevE.87.022120
Journal/Review: PHYSICAL REVIEW E
Volume: 87 (2) Pages from: 022120 to: 022120
More Information: This work benefited from the European Network of Excellence for Nanophotonics for Energy Efficiency and the ERC grant Photbots. T.S. gratefully acknowledge funding from The Swedish Research Council (postdoctoral fellowship Grant No. 2010-887). Erik Alerstam, Raffaella Burioni, and Alessandro Vezzani are thanked for useful discussions.KeyWords: Diffusion constant; Heterogeneous systems; Light transport; Monte Carlo Simulation; Nonscattering regions; Probabilistic theory; Random sphere packings; Random Walk; Step length; Turbid media, Monte Carlo methods; Turbidity, Random processes, article; computer simulation; diffusion; light; methodology; photometry; radiation scattering; statistical model; viscosity, Computer Simulation; Diffusion; Light; Models, Statistical; Nephelometry and Turbidimetry; Scattering, Radiation; ViscosityDOI: 10.1103/PhysRevE.87.022120Citations: 22data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2020-01-26References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here