Field enhancement at metallic interfaces due to quantum confinement

Öztürk, Z. Fatih; Xiao, Sanshui; Yan, Min; Wubs, Martijn; Jauho, Antti-Pekka; Mortensen, N. Asger

doi:doi:10.1117/1.3574159

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Journal of Nanophotonics / Volume 5 / Special Section on Metamaterials: Fundamentals and Applications

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Field enhancement at metallic interfaces due to quantum confinement

J. Nanophoton. 5, 051602 (Apr 26, 2011); http://dx.doi.org/10.1117/1.3574159

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Abstract

References (42)

Z. Fatih Öztürk, Sanshui Xiao, Min Yan, Martijn Wubs, and N. Asger Mortensen

Technical University of Denmark, Department of Photonics Engineering, DK-2800 Kongens Lyngby, Denmark

Istanbul Technical University, Istanbul, Turkey

Royal Institute of Technology, Laboratory of Photonics and Microwave Engineering, Sweden

Antti-Pekka Jauho

Aalto University, Department of Applied Physics, Finland

Technical University of Denmark, Department of Micro and Nanotechnology, DK-2800 Kongens Lyngby, Denmark

We point out an apparently overlooked consequence of the boundary conditions obeyed by the electric displacement vector at air-metal interfaces: the continuity of the normal component combined with the quantum mechanical penetration of the electron gas in the air implies the existence of a surface on which the dielectric function vanishes. This, in turn, leads to an enhancement of the normal component of the total electric field. We study this effect for a planar metal surface, with the inhomogeneous electron density accounted for by a Jellium model. We also illustrate the effect for equilateral triangular nanoislands via numerical solutions of the appropriate Maxwell equations, and show that the field enhancement is several orders of magnitude larger than what the conventional theory predicts.

History

Received Nov 29, 2010
Accepted Feb 18, 2011
Revised Feb 17, 2011
Published online Apr 26, 2011

Digital Object Identifier

http://dx.doi.org/10.1117/1.3574159

Citation

Z. Fatih Öztürk, Sanshui Xiao, Min Yan, Martijn Wubs, Antti-Pekka Jauho and N. Asger Mortensen, "Field enhancement at metallic interfaces due to quantum confinement", J. Nanophoton. 5, 051602 (Apr 26, 2011); http://dx.doi.org/10.1117/1.3574159