Special Section on Metamaterials: Fundamentals and Applications

Field enhancement at metallic interfaces due to quantum confinement

[+] Author Affiliations
Z. Fatih Öztürk

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

Istanbul Technical University, Istanbul, Turkey

Sanshui Xiao, Martijn Wubs, N. Asger Mortensen

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

Min Yan

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

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

J. Nanophoton. 5(1), 051602 (April 26, 2011). doi:10.1117/1.3574159
History: Received November 29, 2010; Revised February 17, 2011; Accepted February 18, 2011; Published April 26, 2011; Online April 26, 2011
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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.

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© 2011 Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation

Z. Fatih Öztürk ; Sanshui Xiao ; Min Yan ; Martijn Wubs ; Antti-Pekka Jauho, et al.
"Field enhancement at metallic interfaces due to quantum confinement", J. Nanophoton. 5(1), 051602 (April 26, 2011). ; http://dx.doi.org/10.1117/1.3574159


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