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Title: Metamaterial-based theoretical description of light scattering by metallic nano-hole array structures

Abstract

We have experimentally and theoretically investigated the light-matter interaction in metallic nano-hole array structures. The scattering cross section spectrum was measured for three samples each having a unique nano-hole array radius and periodicity. Each measured spectrum had several peaks due to surface plasmon polaritons. The dispersion relation and the effective dielectric constant of the structure were calculated using transmission line theory and Bloch's theorem. Using the effective dielectric constant and the transfer matrix method, the surface plasmon polariton energies were calculated and found to be quantized. Using these quantized energies, a Hamiltonian for the surface plasmon polaritons was written in the second quantized form. Working with the Hamiltonian, a theory of scattering cross section was developed based on the quantum scattering theory and Green's function method. For both theory and experiment, the location of the surface plasmon polariton spectral peaks was dependant on the array periodicity and radii of the nano-holes. Good agreement was observed between the experimental and theoretical results. It is proposed that the newly developed theory can be used to facilitate optimization of nanosensors for medical and engineering applications.

Authors:
 [1]; ;  [2];  [3];  [1];  [3];  [3]
  1. Department of Physics and Astronomy, University of Western Ontario, London N6A 3K7 (Canada)
  2. Lawson Health Research Institute, St. Joseph's Health Care, 268 Grosvenor Street, London N6A 4V2 (Canada)
  3. (Canada)
Publication Date:
OSTI Identifier:
22410182
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 117; Journal Issue: 18; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CROSS SECTIONS; DISPERSION RELATIONS; GREEN FUNCTION; HAMILTONIANS; LIGHT SCATTERING; METAMATERIALS; NANOSTRUCTURES; OPTIMIZATION; PERIODICITY; PERMITTIVITY; PLASMONS; POLARONS; SURFACES; TRANSFER MATRIX METHOD; VISIBLE RADIATION

Citation Formats

Singh, Mahi R., Najiminaini, Mohamadreza, Carson, Jeffrey J. L., Department of Medical Biophysics, University of Western Ontario, London N6A 3K7, Balakrishnan, Shankar, Lawson Health Research Institute, St. Joseph's Health Care, 268 Grosvenor Street, London N6A 4V2, and Department of Medical Biophysics, University of Western Ontario, London N6A 3K7. Metamaterial-based theoretical description of light scattering by metallic nano-hole array structures. United States: N. p., 2015. Web. doi:10.1063/1.4919915.
Singh, Mahi R., Najiminaini, Mohamadreza, Carson, Jeffrey J. L., Department of Medical Biophysics, University of Western Ontario, London N6A 3K7, Balakrishnan, Shankar, Lawson Health Research Institute, St. Joseph's Health Care, 268 Grosvenor Street, London N6A 4V2, & Department of Medical Biophysics, University of Western Ontario, London N6A 3K7. Metamaterial-based theoretical description of light scattering by metallic nano-hole array structures. United States. doi:10.1063/1.4919915.
Singh, Mahi R., Najiminaini, Mohamadreza, Carson, Jeffrey J. L., Department of Medical Biophysics, University of Western Ontario, London N6A 3K7, Balakrishnan, Shankar, Lawson Health Research Institute, St. Joseph's Health Care, 268 Grosvenor Street, London N6A 4V2, and Department of Medical Biophysics, University of Western Ontario, London N6A 3K7. Thu . "Metamaterial-based theoretical description of light scattering by metallic nano-hole array structures". United States. doi:10.1063/1.4919915.
@article{osti_22410182,
title = {Metamaterial-based theoretical description of light scattering by metallic nano-hole array structures},
author = {Singh, Mahi R. and Najiminaini, Mohamadreza and Carson, Jeffrey J. L. and Department of Medical Biophysics, University of Western Ontario, London N6A 3K7 and Balakrishnan, Shankar and Lawson Health Research Institute, St. Joseph's Health Care, 268 Grosvenor Street, London N6A 4V2 and Department of Medical Biophysics, University of Western Ontario, London N6A 3K7},
abstractNote = {We have experimentally and theoretically investigated the light-matter interaction in metallic nano-hole array structures. The scattering cross section spectrum was measured for three samples each having a unique nano-hole array radius and periodicity. Each measured spectrum had several peaks due to surface plasmon polaritons. The dispersion relation and the effective dielectric constant of the structure were calculated using transmission line theory and Bloch's theorem. Using the effective dielectric constant and the transfer matrix method, the surface plasmon polariton energies were calculated and found to be quantized. Using these quantized energies, a Hamiltonian for the surface plasmon polaritons was written in the second quantized form. Working with the Hamiltonian, a theory of scattering cross section was developed based on the quantum scattering theory and Green's function method. For both theory and experiment, the location of the surface plasmon polariton spectral peaks was dependant on the array periodicity and radii of the nano-holes. Good agreement was observed between the experimental and theoretical results. It is proposed that the newly developed theory can be used to facilitate optimization of nanosensors for medical and engineering applications.},
doi = {10.1063/1.4919915},
journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 18,
volume = 117,
place = {United States},
year = {2015},
month = {5}
}