166 research outputs found
Optical transparency of mesoporous metals
We examine the optical properties of metals containing a periodic arrangement
of nonoverlapping spherical mesopores, empty or filled with a dielectric
material. We show that a slab of such a porous metal transmits light over
regions of frequency determined by the dielectric constant of the cavities and
the fractional volume occupied by them, with an efficiency which is many orders
of magnitude higher than predicted by standard aperture theory. Also, the
system absorbs light efficiently over the said regions of frequency unlike the
homogeneous metal.Comment: 9 pages in total, 3 figures To be published in Solid State
Communication
Topological bands in two-dimensional networks of metamaterial elements
We show that topological frequency band structures emerge in two-dimensional
electromagnetic lattices of metamaterial components without the application of
an external magnetic field. The topological nature of the band structure
manifests itself by the occurrence of exceptional points in the band structure
or by the emergence of one-way guided modes. Based on an EM network with nearly
flat frequency bands of nontrivial topology, we propose a coupled-cavity
lattice made of superconducting transmission lines and cavity QED components
which is described by the Janes-Cummings-Hubbard model and can serve as
simulator of the fractional quantum Hall effect
A novel view of plane wave expansion method in photonic crystals
We propose a method derived from the simple plane wave expansion that can
easily solve the interface problem between vacuum and a semi-infinite photonic
crystal. The method is designed to find the complete set of all the
eigenfunctions, propagating or evanescent, of the translation operators , at a fixed frequency. With these eigenfunctions and their
eigenvalues, the transmitted and reflected waves can be determined. Two kinds
of applications are presented for 2D photonic crystals. The first is a
selection rule for determine the normal direction of the vacuum-photonic
crystal interface to achieve the highest attenuation effect at a gap frequency.
The second is to calculate the transmittance and reflectance for a light
incident from vacuum to an semi-infinite photonic crystal. As an example we
recalculate a system studied previously by K. Sakoda et al. and get results in
agreement with theirs
Resonance fluorescence spectrum of a \Lambda-type quantum emitter close to a metallic nanoparticle
We theoretically study the resonance fluorescence spectrum of a three-level quantum emitter coupled to a spherical metallic nanoparticle. We consider the case that the quantum emitter is driven by a single laser field along one of the optical transitions. We show that the development of the spectrum depends on the relative orientation of the dipole moments of the optical transitions in relation to the metal nanoparticle. In addition, we demonstrate that the location and width of the peaks in the spectrum are strongly modified by the exciton-plasmon coupling and the laser detuning, allowing to achieve controlled strongly subnatural spectral line. A strong antibunching of the fluorescent photons along the undriven transition is also obtained. Our results may be used for creating a tunable source of photons which could be used for a probabilistic entanglement scheme in the field of quantum information processing
Photon statistics of a quantum emitter close to a lattice of plasmonic nanoparticles
We study theoretically the statistics of photons generated by a quantum emitter located in the vicinity of a periodic plasmonic nanostructure. The presented formalism is based on a macroscopic QED formalism in conjunction with a density-matrix approach in order to obtain the second-order correlation function of the emitted photons accounting for the influence of the plasmonic environment. The metallic reservoir coupling is computed using Green's-function theory, which, for a periodic lattice of scatterers, is calculated by a multiple-scattering method. We show that the photon statistics and the antibunching of emitted photons depend very strongly on the orientation of the quantum emitter relative to the lattice, on the transition frequency of the emitter, on the intensity of the applied field, and on the geometrical parameters of the nanoparticles, such as the shell thickness
A simple formula for the L-gap width of a face-centered-cubic photonic crystal
The width of the first Bragg's scattering peak in the (111)
direction of a face-centered-cubic lattice of air spheres can be well
approximated by a simple formula which only involves the volume averaged
and over the lattice unit cell, being the
(position dependent) dielectric constant of the medium, and the effective
dielectric constant in the long-wavelength limit approximated
by Maxwell-Garnett's formula. Apparently, our formula describes the asymptotic
behaviour of the absolute gap width for high dielectric contrast
exactly. The standard deviation steadily decreases well below
1% as increases. For example for the sphere filling
fraction and . On the interval , our
formula still approximates the absolute gap width (the relative
gap width ) with a reasonable precision, namely with a standard
deviation 3% (4.2%) for low filling fractions up to 6.5% (8%) for the
close-packed case. Differences between the case of air spheres in a dielectric
and dielectric spheres in air are briefly discussed.Comment: 13 pages, 4 figs., RevTex, two references added. For more info see
http://www.amolf.nl/external/wwwlab/atoms/theory/index.htm
Photonic Band Gaps of Three-Dimensional Face-Centered Cubic Lattices
We show that the photonic analogue of the Korringa-Kohn-Rostocker method is a
viable alternative to the plane-wave method to analyze the spectrum of
electromagnetic waves in a three-dimensional periodic dielectric lattice.
Firstly, in the case of an fcc lattice of homogeneous dielectric spheres, we
reproduce the main features of the spectrum obtained by the plane wave method,
namely that for a sufficiently high dielectric contrast a full gap opens in the
spectrum between the eights and ninth bands if the dielectric constant
of spheres is lower than the dielectric constant of
the background medium. If , no gap is found in the
spectrum. The maximal value of the relative band-gap width approaches 14% in
the close-packed case and decreases monotonically as the filling fraction
decreases. The lowest dielectric contrast for which a
full gap opens in the spectrum is determined to be 8.13. Eventually, in the
case of an fcc lattice of coated spheres, we demonstrate that a suitable
coating can enhance gap widths by as much as 50%.Comment: 19 pages, 6 figs., plain latex - a section on coated spheres, two
figures, and a few references adde
Metallo-dielectric diamond and zinc-blende photonic crystals
It is shown that small inclusions of a low absorbing metal can have a
dramatic effect on the photonic band structure. In the case of diamond and
zinc-blende photonic crystals, several complete photonic band gaps (CPBG's) can
open in the spectrum, between the 2nd-3rd, 5th-6th, and 8th-9th bands. Unlike
in the purely dielectric case, in the presence of small inclusions of a low
absorbing metal the largest CPBG for a moderate dielectric constant
(epsilon<=10) turns out to be the 2nd-3rd CPBG. The 2nd-3rd CPBG is the most
important CPBG, because it is the most stable against disorder. For a diamond
and zinc-blende structure of nonoverlapping dielectric and metallo-dielectric
spheres, a CPBG begins to decrease with an increasing dielectric contrast
roughly at the point where another CPBG starts to open--a kind of gap
competition. A CPBG can even shrink to zero when the dielectric contrast
increases further. Metal inclusions have the biggest effect for the dielectric
constant 2<=epsilon<=12, which is a typical dielectric constant at near
infrared and in the visible for many materials, including semiconductors and
polymers. It is shown that one can create a sizeable and robust 2nd-3rd CPBG at
near infrared and visible wavelengths even for a photonic crystal which is
composed of more than 97% low refractive index materials (n<=1.45, i.e., that
of silica glass or a polymer). These findings open the door for any
semiconductor and polymer material to be used as genuine building blocks for
the creation of photonic crystals with a CPBG and significantly increase the
possibilities for experimentalists to realize a sizeable and robust CPBG in the
near infrared and in the visible. One possibility is a construction method
using optical tweezers, which is analyzed here.Comment: 25 pp, 23 figs, RevTex, to appear in Phys Rev B. For more information
look at
http://www.amolf.nl/research/photonic_materials_theory/moroz/moroz.htm
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