Fabrication of Large-Area Patterned
Nanostructures for Optical Applications
by Nanoskiving
Qiaobing Xu,
†
Jiming Bao,
‡
Robert M. Rioux,
†
Raquel Perez-Castillejos,
†
Federico Capasso,
‡
and George M. Whitesides*
,†
Department of Chemistry and Chemical Biology, HarVard UniVersity,
12 Oxford Street, Cambridge, Massachusetts, 02138, and HarVard School of
Engineering and Applied Sciences, HarVard UniVersity, 29 Oxford Street,
Cambridge, Massachusetts, 02138
Received June 11, 2007
ABSTRACT
Cost-effective and convenient methods for fabrication of patterned metallic nanostructures over the large (mm
2
) areas required for applications
in photonics are much needed. In this paper, we demonstrate the fabrication of arrays of closed and open, loop-shaped nanostructures by a
technique (nanoskiving) that combines thin-film deposition by metal evaporation with thin-film sectioning. These arrays of metallic structures
serve as frequency-selective surfaces at mid-infrared wavelengths. Experiments with structures prepared using this technique demonstrate
that a closed-looped structure has a single dominant resonance regardless of the polarization of the incident light, while open structures have
resonances that are anisotropic with respect to the polarization of the electric field. Finite-difference time-domain (FDTD) simulations reproduce
the scattering spectra of these frequency-selective surfaces, provide an explanation of the wavelength of the experimentally observed resonances,
and rationalize their polarization dependence based on the patterns of current induced in the nanostructures.
This paper describes the fabrication by nanoskiving
1-3
of
large-area (∼9 mm
2
), thin (∼100 nm), free-standing epoxy
slabs incorporating regular arrays of metallic nanostructures.
We measured the transmission spectra of these nanostructures
and compared them with simulated scattering spectra using
finite-difference time-domain (FDTD) calculations. Experi-
mentally, closed-loop structures have a single dominant
resonance regardless of the polarization of the incident light.
Open structures s e.g., L- or U-shaped structures s have
resonances that are anisotropic with respect to the polariza-
tion of the electric field. The FDTD calculations adequately
reproduce the spectra and provide a simple explanation for
the wavelengths of resonances, and of their polarization
dependence, based on the patterns of current induced in the
nanostructures by the incident light. We believe that the
ability to fabricate and manipulate free-standing metallic
nanostructures will find applications in the fabrication of
materials having negative index of refraction and of three-
dimensional metamaterials.
4-10
Patterned arrays of metallic nanostructures have wide
applications in photonics, in (for example) negative index
materials (NIMs),
4-10
frequency-selective surfaces (FSS),
11-20
optical polarizers, optical filters, and nanostructures for
surface-enhanced Raman spectroscopy (SERS).
21,22
FSS are
two-dimensional periodic arrays of metallic structures that
transmit or reflect radiation at specific frequencies; FSS are
useful in beam splitters, filters, and polarizers.
13-15
In FSS,
the reflection or transmission is strongest when the frequency
of the incident electromagnetic field matches the plasmon
resonance of the metallic structures comprising the FSS. This
resonant frequency is mainly determined by the size and
shape of the unit metallic nanostructures comprising the FSS.
The bandwidth of the resonance s as well as the total
reflectivity or transmittance s depends on the density and
periodicity of unit elements.
15
For a FSS consisting of
identical, straight, metallic wires (an antenna array) of length
l, the longest wavelength of resonance is approximated by
eq 1, where λ
r
is the resonance wavelength and n
eff
is the
effective refractive index of the medium.
In eq 2, n
1
and n
2
are refractive indices of the media above
(air, n ) 1) and below (supporting substrate) the metallic
nanostructure.
15,23
At the resonant wavelength λ
r
, the wire
behaves approximately as a simple electric dipole. For simple
* Corresponding author. Telephone: (617) 495-9430. Fax: (617) 495-
9857. E-mail: gwhitesides@gmwgroup.harvard.edu.
†
Department of Chemistry and Chemical Biology.
‡
Harvard School of Engineering and Applied Sciences.
λ
r
/2 ∼ n
eff
l (1)
n
eff
)
(
n
1
2
+ n
2
2
2
)
1/2
(2)
NANO
LETTERS
2007
Vol. 7, No. 9
2800-2805
10.1021/nl0713979 CCC: $37.00 © 2007 American Chemical Society
Published on Web 08/01/2007