Light diffusion in quenched disorder: Role of step correlations

Year: 2014

Authors: Svensson T., Vynck K., Adolfsson E., Farina A., Pifferi A., Wiersma D.

Autors Affiliation: European Laboratory for Non-linear Spectroscopy (LENS), University of Florence, Via Nello Carrara 1, 50019 Sesto Fiorentino, Italy; Institut Langevin, ESPCI ParisTech, CNRS, 1 rue Jussieu, 75238 Paris Cedex 05, France; Ceramic Materials, SWEREA IVF, Post Office Box 104, SE- 431 22 Mölndal, Sweden; Istituto di Fotonica e Nanotecnologie (IFN-CNR), Piazza Leonardo da Vinci 32, Milan 20133, Italy; Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, Milan 20133, Italy; Istituto Nazionale di Ottica (CNR-INO), Largo Fermi 6, 50125 Firenze, Italy

Abstract: We present a theoretical and experimental study of light transport in disordered media with strongly heterogeneous distribution of scatterers formed via nonscattering regions. Step correlations induced by quenched disorder are found to prevent diffusivity from diverging with increasing heterogeneity scale, contrary to expectations from annealed models. Spectral diffusivity is measured for a porous ceramic where nanopores act as scatterers and macropores render their distribution heterogeneous. Results agree well with Monte Carlo simulations and a proposed analytical model.

Journal/Review: PHYSICAL REVIEW E

Volume: 89 (2)      Pages from: 022141-1  to: 022141-9

More Information: T.S. acknowledges funding from the Swedish Research Council (postdoctoral fellowship Grant No. 2010-887). K.V. acknowledges support by LABEX WIFI (Laboratory of Excellence within the French Program “Investments for the Future”) under references ANR-10-LABX-24 and ANR-10-IDEX-0001-02 PSLstar. The reported research has also received funding from the European Research Council under the European Unions Seventh Framework Program (FP7/2007-2013) ERC Grant Agreement No. 291349 and from LASERLABEUROPE (Grant Agreement No. 284464). The authors are also grateful to Erik Alerstam, Matteo Burresi, and Romolo Savo for long-time collaboration and fruitful discussions.
KeyWords: Scattering, Disordered media; Heterogeneous distributions; Light diffusion; Light transport; Macropores; Nonscattering regions; Porous ceramics; Quenched disorder, Monte Carlo methods, ceramics, ceramics; chemistry; computer simulation; evaluation study; light; materials testing; nanopore; photometry; porosity; procedures; radiation scattering; statistics; theoretical model; ultrastructure; validation study, Ceramics; Computer Simulation; Light; Materials Testing; Models, Theoretical; Nanopores; Nephelometry and Turbidimetry; Porosity; Scattering, Radiation; Statistics as Topic
DOI: 10.1103/PhysRevE.89.022141

Citations: 18
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