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Shape, Size, and Orientation Effects in Homogenized Composite Materials: A Case Study Based on Golden Vaterite

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The Advancing World of Applied Electromagnetics

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Abstract

Homogenization formalisms require the constitutive parameters of the component materials of a composite material, together with parameters that characterize the shapes, orientations, sizes, and distributions of the component particles. As an example, the homogenization of vaterite impregnated with gold nanoparticles was accomplished using the extended Maxwell Garnett formalism. The extended formalism takes into account the intrinsic anisotropy of vaterite as well as the size, shape, and orientation of the nanoparticles. Size-dependent permittivity was used for the gold nanoparticles. Numerical studies revealed that the homogenized composite material’s permittivity parameters are acutely sensitive to the size, shape, orientation, and volume fraction of the gold nanoparticles.

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Acknowledgements

This work was supported in part by EPSRC (grant number EP/V046322/1) and US NSF (grant number DMS-2011996). AL thanks the Charles Godfrey Binder Endowment at The Pennsylvania State University for ongoing support of his research endeavors.

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Authors and Affiliations

  1. School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, UK

    Tom G. Mackay

  2. NanoMM—Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA, USA

    Tom G. Mackay

  3. Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA, USA

    Akhlesh Lakhtakia

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  1. Tom G. Mackay
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Correspondence to Tom G. Mackay .

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  1. Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA, USA

    Akhlesh Lakhtakia

  2. Department of Electrical and Computer Engineering, University of Utah, Salt Lake City, UT, USA

    Cynthia M. Furse

  3. University of Edinburgh, Edinburgh, UK

    Tom G. Mackay

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Mackay, T.G., Lakhtakia, A. (2024). Shape, Size, and Orientation Effects in Homogenized Composite Materials: A Case Study Based on Golden Vaterite. In: Lakhtakia, A., Furse, C.M., Mackay, T.G. (eds) The Advancing World of Applied Electromagnetics. Springer, Cham. https://doi.org/10.1007/978-3-031-39824-7_22

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