Determining microstructural features of a composite from effective properties

ORAL

Abstract

The effective dielectric function of a composite depends on the microstructure of the composite as well as the dielectric function of the constituent materials. In the Bergman-Milton spectral representation, all of the information about the microstructure that is needed to determine the effective properties is contained in a spectral function which is independent of the material properties. We demonstrate a method for extracting the spectral function of the composite from measured reflectivity data using a continued fraction representation effective dielectric function. By using simulated data from a model system with a known spectral function we show that the method accurately reproduces the known spectral function. The method is fast, robust and only requires a fairly small number of fitting parameters which can be related to features of the microstructure.

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Authors

  • Anthony Day

    John Carroll University

  • Kurt Baughman

    Center for Nanoscale Materials, Argonne National Lab, Argonne, Illinois, Department of Physics and Astronomy, Ohio University, Athens, Ohio, Ohio University, Los Alamos Nationa Laboratory, National Taiwan University, University of Hamburg, Trinity College, Dublin, Serbian Academy of Sciences and Arts, Institute for Multidisciplinary Research, University of Belgrade, National High Magnetic Field Laboratory, Brookhaven National Laboratory, The University of Akron, NQPI, Physics and Astronomy Dept., Ohio University, GNS \& MANA Satellite, CEMES, CNRS, IMRE, A*STAR, Nanoscale and Quantum Phenomena Institute (NQPI), Physics and Astronomy Dept., Ohio University, Nanoscale and Quantum Phenomena Institute, and Department of Physics \& Astronomy, Ohio University, Athens, OH 45701, CEMES, CNRS, Toulouse, France, Nanoscale and Quantum Phenomena Institute, and Department of Physics \& Astronomy, Ohio University, Athens, OH, NQPI, and Department of Physics \& Astronomy, Ohio University, Athens, OH, NQPI Dept of Physics and astronomy Ohio University, Naval Research Labs, Washington DC 20375, John Carroll University, Lawrence Livermore National Laboratory, The Ohio State University Department of Physics, Nanoscale and Quantum Phenomena Institute, Department of Physics and Astronomy, Ohio University, Athens, Ohio, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington, National High Magnetic Field Laboratory, Tallahassee, University of Wisconsin Oshkosh, Wittenberg University, NQPI, Ohio University; CNM Argonne National Laboratory, APS, CNM, Argonne National Laboratory, Ohio University, Athens 45701, USA, None, Dept. of Physics, Hiram College, Physics Department, Cleveland State University, Flash Center for Computational Science, University of Chicago, Center for Energy Research, University of California San Diego; Lawrence Livermore National Laboratory, Ohio Northern University, Ohio University Zanesville

  • Kurt Baughman

    Center for Nanoscale Materials, Argonne National Lab, Argonne, Illinois, Department of Physics and Astronomy, Ohio University, Athens, Ohio, Ohio University, Los Alamos Nationa Laboratory, National Taiwan University, University of Hamburg, Trinity College, Dublin, Serbian Academy of Sciences and Arts, Institute for Multidisciplinary Research, University of Belgrade, National High Magnetic Field Laboratory, Brookhaven National Laboratory, The University of Akron, NQPI, Physics and Astronomy Dept., Ohio University, GNS \& MANA Satellite, CEMES, CNRS, IMRE, A*STAR, Nanoscale and Quantum Phenomena Institute (NQPI), Physics and Astronomy Dept., Ohio University, Nanoscale and Quantum Phenomena Institute, and Department of Physics \& Astronomy, Ohio University, Athens, OH 45701, CEMES, CNRS, Toulouse, France, Nanoscale and Quantum Phenomena Institute, and Department of Physics \& Astronomy, Ohio University, Athens, OH, NQPI, and Department of Physics \& Astronomy, Ohio University, Athens, OH, NQPI Dept of Physics and astronomy Ohio University, Naval Research Labs, Washington DC 20375, John Carroll University, Lawrence Livermore National Laboratory, The Ohio State University Department of Physics, Nanoscale and Quantum Phenomena Institute, Department of Physics and Astronomy, Ohio University, Athens, Ohio, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington, National High Magnetic Field Laboratory, Tallahassee, University of Wisconsin Oshkosh, Wittenberg University, NQPI, Ohio University; CNM Argonne National Laboratory, APS, CNM, Argonne National Laboratory, Ohio University, Athens 45701, USA, None, Dept. of Physics, Hiram College, Physics Department, Cleveland State University, Flash Center for Computational Science, University of Chicago, Center for Energy Research, University of California San Diego; Lawrence Livermore National Laboratory, Ohio Northern University, Ohio University Zanesville