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High-Order Hilbert Curves: Fractal Structures with Isotropic, Tailorable Optical Properties

S. De Zuani ; T. Reindl ; Marcus Rommel (Institutionen för mikroteknologi och nanovetenskap, Nanotekniklaboratoriet) ; B. Gompf ; A. Berrier ; M. Dressel
ACS Photonics Vol. 2 (2015), 12, p. 1719-1724.
[Artikel, refereegranskad vetenskaplig]

© 2015 American Chemical Society. Fractals are promising candidates as nonperiodic, nonresonant structures exhibiting a homogeneous, isotropic, and frequency-independent effective optical response. We present a comprehensive optical investigation of a metallic Hilbert curve of fractal order N = 9 in the visible and near-infrared spectral range. Our experiments show that high-order fractal nanostructures exhibit a nearly frequency independent reflectance and an in-plane isotropic optical response. The response can be simulated in the framework of a simple effective medium approximation model with a limited number of parameters. It is shown that high-order Hilbert structures can be considered as a transparent in-plane metal, the dielectric function of which is modified by the filling factor f, hence creating a tunable conductive effective metal with tailorable plasma frequency and variable reflectance without going through an insulator-to-metal transition.

Nyckelord: Bruggeman effective medium approximation , fractal , Hilbert curve , near-infrared , optical frequencies , optical properties , self-similar nanostructures , spectroscopic ellipsometry , tunable metal , visible

Denna post skapades 2016-05-11.
CPL Pubid: 236287


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Institutionen för mikroteknologi och nanovetenskap, Nanotekniklaboratoriet



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