Shape Dependent EMA Model of Nanostructured Anisotropic Materials

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...

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Main Authors: Petr Otipka, Jaroslav Vlček
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/9/10/1380
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spelling doaj-50bcfbe10153487db796bc6492e112af2020-11-24T21:55:32ZengMDPI AGNanomaterials2079-49912019-09-01910138010.3390/nano9101380nano9101380Shape Dependent EMA Model of Nanostructured Anisotropic MaterialsPetr Otipka0Jaroslav Vlček1Department of Mathematics and Descriptive Geometry, Faculty of Mechanical Engineering, VSB—Technical University of Ostrava, 708 00 Ostrava-Poruba, Czech RepublicDepartment of Mathematics and Descriptive Geometry, Faculty of Mechanical Engineering, VSB—Technical University of Ostrava, 708 00 Ostrava-Poruba, Czech RepublicHeterogeneous 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.https://www.mdpi.com/2079-4991/9/10/1380biosensorseffective mediumnanoparticlespolarizabilityscd methodgreen tensor
collection DOAJ
language English
format Article
sources DOAJ
author Petr Otipka
Jaroslav Vlček
spellingShingle Petr Otipka
Jaroslav Vlček
Shape Dependent EMA Model of Nanostructured Anisotropic Materials
Nanomaterials
biosensors
effective medium
nanoparticles
polarizability
scd method
green tensor
author_facet Petr Otipka
Jaroslav Vlček
author_sort Petr Otipka
title Shape Dependent EMA Model of Nanostructured Anisotropic Materials
title_short Shape Dependent EMA Model of Nanostructured Anisotropic Materials
title_full Shape Dependent EMA Model of Nanostructured Anisotropic Materials
title_fullStr Shape Dependent EMA Model of Nanostructured Anisotropic Materials
title_full_unstemmed Shape Dependent EMA Model of Nanostructured Anisotropic Materials
title_sort shape dependent ema model of nanostructured anisotropic materials
publisher MDPI AG
series Nanomaterials
issn 2079-4991
publishDate 2019-09-01
description 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.
topic biosensors
effective medium
nanoparticles
polarizability
scd method
green tensor
url https://www.mdpi.com/2079-4991/9/10/1380
work_keys_str_mv AT petrotipka shapedependentemamodelofnanostructuredanisotropicmaterials
AT jaroslavvlcek shapedependentemamodelofnanostructuredanisotropicmaterials
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