Basis and Lattice Polarization
Mechanisms for Light Transmission
through Nanohole Arrays in a Metal
Film
R. Gordon* and M. Hughes
Department of Elec. and Comp. Eng., UniVersity of Victoria, P.O. Box 3055,
Victoria, Canada, V8W 3P6
B. Leathem and K. L. Kavanagh
Department of Physics, Simon Fraser UniVersity, 8888 UniVersity DriVe,
Burnaby, BC, Canada, V5A 1S6
A. G. Brolo
Department of Chemistry, UniVersity of Victoria, P.O. Box 3065,
Victoria, BC, Canada, V8W 3V6
Received May 15, 2005
ABSTRACT
The extraordinary light transmission through double-hole and elliptical nanohole arrays in a thin gold film is investigated for different orientations
of the holes relative to the lattice. Even though these bases have similar symmetry characteristics, the polarization follows the orientation of
the basis for the ellipse but remains fixed along a lattice vector for the double holes. Furthermore, the maximum transmitted intensity for
linearly polarized light is constant for the ellipse, but decreases for the double holes as they are rotated away from being aligned with the
lattice. Finite-difference time-domain simulations agree well with the experimental findings. These experiments show how the basis determines
both the coupling into the surface plasmon waves and the evanescent transmission through the nanoholes. Both of these effects need to be
considered when designing nanophotonic devices using the extraordinary transmission phenomenon.
Light transmission through subwavelength holes can be
increased by several orders of magnitude with respect to
Bethe’s theory
1
when the holes are periodically arranged in
a thin metal film.
2
This extraordinary transmission is the
result of resonant coupling to surface plasmon (SP) waves
at the metal-dielectric interface via the array of holes.
3,4,5,6,7
As with other periodic systems, the optical response of the
hole array is determined by both the lattice and the basis.
The SP waves are longitudinal, so the polarization is collinear
with their direction of propagation.
8
This means that the
polarization direction of the incident field selects which
resonance of the lattice is excited. Recent works have shown
that changing the basis shape from circular holes to ellipti-
cal
9,10
and rectangular
11
holes has a strong influence on the
polarization and resonance properties; as the aspect ratio is
increased, the polarization perpendicular to the broad edge
of the hole has enhanced transmission and the resonance
peaks shift in wavelength. Those works focused on the
situation in which the elongated basis was aligned with the
array’s lattice vector. As a result, they did not separate the
contributions of the basis and the lattice. Furthermore, both
the ellipses and the rectangles considered in those works have
a strongly polarized (evanescent) transmission mode through
the holes, which was not distinguishable from the other
polarization effects.
In this work, we investigate the effect of the array basis
and its orientation on the transmission. By comparing the
behavior of ellipses to double-hole arrays, the contributions
of the lattice and basis are distinguished. When the ellipses
and the double holes are aligned with the lattice, they both
show enhanced transmission for light polarized perpendicular
to their long axis. Upon rotation of the basis, however, the
transmission of the ellipses and double holes have different
polarization behaviors. These experimental results are in good
agreement with theoretical simulations based on finite-
difference time-domain (FDTD) calculations. They are * Corresponding author. E-mail: rgordon@uvic.ca.
NANO
LETTERS
2005
Vol. 5, No. 7
1243-1246
10.1021/nl0509069 CCC: $30.25 © 2005 American Chemical Society
Published on Web 06/22/2005