This paper presents the analysis of electromagnetic fields in random metallic materials for plasmonics applications. In this context, the two-dimensional finite- difference time-domain (2D-FDTD) method is used to simulate the surface Plasmons (SPs), with the perfectly matched layer (PML). To solve the problem, the idea of effective permittivity for the curved surface is applied to the dispersive media, while the Z-transform method is applied to the Drude model. The numerical results obtained by 2D -FDTD for circular silver cylinders are given and discussed.
| Published in | American Journal of Electromagnetics and Applications (Volume 5, Issue 2) |
| DOI | 10.11648/j.ajea.20170502.11 |
| Page(s) | 14-19 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
FDTD, Surface Plasmon, Effective Permittivity, Dispersive Media, Z-Transform
| [1] | Sarid, D.; Challener, W. Modern Introduction to Surface Plasmons theory mathematica modeling and applications; Cambridge University Press, 2010. |
| [2] | Rivera, V. A. G.; Silva, O. B.; Ledemi, Y.; Messaddeq, Y.; Marega, E. Collective Plasmon-Modes in Gain Media Quantum Emitters and Plasmonic Nanostructures; Springer, 2015. |
| [3] | Homola, J. Surface Plasmon Resonance Based Sensors; Springer, 2006; 04. |
| [4] | Wood, R. W. On a remarkable case of uneven distribution of light in a diffraction grating spectrum; Phil, Mag, 1902; 4, 396. |
| [5] | Fano, U. Atomic Theory of electromagnetic interactions in dense materials; Physical Review 1956. 103, 1202. |
| [6] | R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm. Surface-plasmon resonance effect in grating diffraction; Physical Review letters 1968. 21, 1530-1532. |
| [7] | Otto, A. Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection; Z. Phys 1968. 216, 398. |
| [8] | Kretschmann, E.; Raether, H. Radiative decay of nonradiative surface plasmons excited by light; Z. Naturforsch 1968. 23A, 2135. |
| [9] | W. A. Challener, I. K. Sendur; C. Peng. Scattered field formulation of finite difference time domain for a focused light beam in dense media with lossy materials; optics express 2003. Vol. 11, No. 23, 3160-3170. |
| [10] | Chris D. Geddes. Reviews in plasmonics 2015; Springer International Publishing Switzerland 2016. |
| [11] | Chris D. Geddes. Surface Plasmon Enhanced, Coupled and Controlled Fluorescence; John Wiley & Sons, Inc 2017. |
| [12] | Mark, L. Brongersma; Pieter, G. Kik. Surface Plasmon Nanophotonics; Springer, 2007. |
| [13] | Tigran, V. Shahbazyan; Mark, I. Stockman. Plasmonics Theory and Applications; Springer, 2013. |
| [14] | Stefan, A. Maier. Plasmonics Fundamentals and Applications; Springer, 2007. |
| [15] | Nico, J. de Mol; Marcel, J. E. Fischer. Surface Plasmon Resonance Methods and Protocol; Humana Press, 2010. |
| [16] | Ahmed, I.; E. H. Khoo; O. Kurniawan; E. P. Li. Modeling and simulation of active plasmonics with the FDTD method by using solid state and Lorentz–Drude dispersive model. Optical Society of America B, Vol. 28, 2011, pp. 352–359. |
| [17] | Yee, K. S. Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media; IEEE Trans. Antennas Propagat. 1966, AP-14, 302–307. |
| [18] | Taflove, A.; Hagness, S. C. Computational Electrodynamics The Finite-Difference Time-Domain Method, 3rd ed.; Artech House, 2005. |
| [19] | Kunz, K. S.; Luebbers, R. J. The Finite Difference Time Domain Method for Electromagnetics; CRC Press, Boca Raton, 1993. |
| [20] | Sullivan, D. M. Electromagnetic Simulation Using the FDTD Method; New York, IEEE Press, 2000. |
| [21] | Umran, S. Inan; Robert A. Marshall. Numerical Electromagnetics The FDTD Method; Cambridge University Press, 2011. |
| [22] | Ramesh Garg. Analytical and Computational Methods in Electromagnetics; Artech House, 2008. |
| [23] | Berenger, J. R. A perfectly matched layer for the absorption of electromagnetic waves; J. Computat. Phys. 1994, 114, 185-200. |
| [24] | Zhao, Y.; Hao, Y. Finite-difference time-domain study of guided modes in nano-plasmonic waveguides; IEEE Trans. Antennas Propag. 2007, 55, 3070–3077. |
| [25] | Zhao, Y.; Hao, Y. Conformal Dispersive Finite-Difference Time-Domain Simulations of Plasmonic Waveguides; IEICE 2007, 224-227. |
| [26] | Mohammadi, A.; Jalali, T.; Agio, M. Dispersive contour-path algorithm for the two-dimensional finite difference time-domain method; Optics Express 2008, 16, 7397-7406. |
| [27] | Okada, N.; Cole, J. B. Effective permittivity for FDTD calculation of plasmonic materials; Micromachines 2012, 3, 168–179. |
APA Style
Otman Sofiane, Said Ouaskit. (2017). FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media. American Journal of Electromagnetics and Applications, 5(2), 14-19. https://doi.org/10.11648/j.ajea.20170502.11
ACS Style
Otman Sofiane; Said Ouaskit. FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media. Am. J. Electromagn. Appl. 2017, 5(2), 14-19. doi: 10.11648/j.ajea.20170502.11
AMA Style
Otman Sofiane, Said Ouaskit. FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media. Am J Electromagn Appl. 2017;5(2):14-19. doi: 10.11648/j.ajea.20170502.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajea.20170502.11,
author = {Otman Sofiane and Said Ouaskit},
title = {FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media},
journal = {American Journal of Electromagnetics and Applications},
volume = {5},
number = {2},
pages = {14-19},
doi = {10.11648/j.ajea.20170502.11},
url = {https://doi.org/10.11648/j.ajea.20170502.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20170502.11},
abstract = {This paper presents the analysis of electromagnetic fields in random metallic materials for plasmonics applications. In this context, the two-dimensional finite- difference time-domain (2D-FDTD) method is used to simulate the surface Plasmons (SPs), with the perfectly matched layer (PML). To solve the problem, the idea of effective permittivity for the curved surface is applied to the dispersive media, while the Z-transform method is applied to the Drude model. The numerical results obtained by 2D -FDTD for circular silver cylinders are given and discussed.},
year = {2017}
}
TY - JOUR T1 - FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media AU - Otman Sofiane AU - Said Ouaskit Y1 - 2017/10/11 PY - 2017 N1 - https://doi.org/10.11648/j.ajea.20170502.11 DO - 10.11648/j.ajea.20170502.11 T2 - American Journal of Electromagnetics and Applications JF - American Journal of Electromagnetics and Applications JO - American Journal of Electromagnetics and Applications SP - 14 EP - 19 PB - Science Publishing Group SN - 2376-5984 UR - https://doi.org/10.11648/j.ajea.20170502.11 AB - This paper presents the analysis of electromagnetic fields in random metallic materials for plasmonics applications. In this context, the two-dimensional finite- difference time-domain (2D-FDTD) method is used to simulate the surface Plasmons (SPs), with the perfectly matched layer (PML). To solve the problem, the idea of effective permittivity for the curved surface is applied to the dispersive media, while the Z-transform method is applied to the Drude model. The numerical results obtained by 2D -FDTD for circular silver cylinders are given and discussed. VL - 5 IS - 2 ER -
Information
Email: