Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays

Thin metallic films bounded by two dielectric media can support long- and short-range surface plasmon polaritons (SPPs). The dispersion relation associated with these hybrid modes is given by a complex transcendental equation that can only be solved numerically. In this paper, a simple approximate a...

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Main Authors: M. Lorente-Crespo, C. Mateo-Segura
Format: Article
Language:English
Published: IEEE 2016-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7393665/
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author M. Lorente-Crespo
C. Mateo-Segura
author_facet M. Lorente-Crespo
C. Mateo-Segura
author_sort M. Lorente-Crespo
collection DOAJ
description Thin metallic films bounded by two dielectric media can support long- and short-range surface plasmon polaritons (SPPs). The dispersion relation associated with these hybrid modes is given by a complex transcendental equation that can only be solved numerically. In this paper, a simple approximate analytical solution for the short-range modes is derived. To validate the proposed analytical solution, short-range SPPs in a 2-D periodic array of small holes are studied and compared to full-wave simulations. The results prove a spectral response in excellent agreement.
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spelling doaj-art-6ab24f9ec64e42fe8703076c55e3e3fb2025-08-20T02:38:35ZengIEEEIEEE Photonics Journal1943-06552016-01-01811810.1109/JPHOT.2016.25212677393665Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole ArraysM. Lorente-Crespo0https://orcid.org/0000-0002-0481-9190C. Mateo-Segura1Institute of Sensors, Signals and Systems, Heriot-Watt University, Edinburgh, U.K.Institute of Sensors, Signals and Systems, Heriot-Watt University, Edinburgh, U.K.Thin metallic films bounded by two dielectric media can support long- and short-range surface plasmon polaritons (SPPs). The dispersion relation associated with these hybrid modes is given by a complex transcendental equation that can only be solved numerically. In this paper, a simple approximate analytical solution for the short-range modes is derived. To validate the proposed analytical solution, short-range SPPs in a 2-D periodic array of small holes are studied and compared to full-wave simulations. The results prove a spectral response in excellent agreement.https://ieeexplore.ieee.org/document/7393665/Plasmonicsnanohole arraystheory and design
spellingShingle M. Lorente-Crespo
C. Mateo-Segura
Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
IEEE Photonics Journal
Plasmonics
nanohole arrays
theory and design
title Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
title_full Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
title_fullStr Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
title_full_unstemmed Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
title_short Simple Closed-Form Solution to Predict Short-Range Surface Plasmons in Thin Films Bounded by Asymmetric Media and Its Application to Hole Arrays
title_sort simple closed form solution to predict short range surface plasmons in thin films bounded by asymmetric media and its application to hole arrays
topic Plasmonics
nanohole arrays
theory and design
url https://ieeexplore.ieee.org/document/7393665/
work_keys_str_mv AT mlorentecrespo simpleclosedformsolutiontopredictshortrangesurfaceplasmonsinthinfilmsboundedbyasymmetricmediaanditsapplicationtoholearrays
AT cmateosegura simpleclosedformsolutiontopredictshortrangesurfaceplasmonsinthinfilmsboundedbyasymmetricmediaanditsapplicationtoholearrays