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Open AccessArticle

Shape Dependent EMA Model of Nanostructured Anisotropic Materials

by Petr Otipka 1,* and Jaroslav Vlček 1,2
1
Department of Mathematics and Descriptive Geometry, Faculty of Mechanical Engineering, VSB—Technical University of Ostrava, 708 00 Ostrava-Poruba, Czech Republic
2
Nanotechnology Centre, VSB—Technical University of Ostrava, 708 00 Ostrava-Poruba, Czech Republic
*
Author to whom correspondence should be addressed.
Nanomaterials 2019, 9(10), 1380; https://doi.org/10.3390/nano9101380
Received: 14 August 2019 / Revised: 17 September 2019 / Accepted: 19 September 2019 / Published: 26 September 2019
Heterogeneous nanostructures containing nanoparticles of various sizes and shapes have attracted significant attention in the development of nano-biosensors. Especially, plasmonic properties of such materials are advantageously exploited for the detection of biological and chemical substances. Since these media exhibit optical anisotropy, a valid homogenization procedure must be able to describe appropriately the relationship between the geometry of the inclusions and the nature of local field modes. We present a model approach for extension of the effective medium approximation (EMA) and its application to anisotropic nanostructures. The proposed model is based on a “strong-couple-dipole” (SCD) method including a volume-integral correction term in a Green tensor that enables to obtain more accurate representation of polarizability tensor. Derived depolarization factors for discs and bi-cone particles are compared with the early known shapes (spheroids, cylinders) and applied to nanostructures composed of the Fe or Au nanodots in polyacrylate. View Full-Text
Keywords: biosensors; effective medium; nanoparticles; polarizability; SCD method; Green tensor biosensors; effective medium; nanoparticles; polarizability; SCD method; Green tensor
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Otipka, P.; Vlček, J. Shape Dependent EMA Model of Nanostructured Anisotropic Materials. Nanomaterials 2019, 9, 1380.

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