Holey random walks: Optics of heterogeneous turbid composites

Year: 2013

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


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; Viscosity
DOI: 10.1103/PhysRevE.87.022120

Citations: 24
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