1,091 research outputs found
Transverse power flow reversing of confined waves in extreme nonlinear metamaterials
We theoretically prove that electromagnetic beams propagating through a
nonlinear cubic metamaterial can exhibit a power flow whose direction reverses
its sign along the transverse profile. This effect is peculiar of the hitherto
unexplored extreme nonlinear regime where the nonlinear response is comparable
or even greater than the linear contribution, a condition achievable even at
relatively small intensities. We propose a possible metamaterial structure able
to support the extreme conditions where the polarization cubic nonlinear
contribution does not act as a mere perturbation of the linear part
Calculating photonic Green's functions using a non-orthogonal finite difference time domain method
In this paper we shall propose a simple scheme for calculating Green's
functions for photons propagating in complex structured dielectrics or other
photonic systems. The method is based on an extension of the finite difference
time domain (FDTD) method, originally proposed by Yee, also known as the
Order-N method, which has recently become a popular way of calculating photonic
band structures. We give a new, transparent derivation of the Order-N method
which, in turn, enables us to give a simple yet rigorous derivation of the
criterion for numerical stability as well as statements of charge and energy
conservation which are exact even on the discrete lattice. We implement this
using a general, non-orthogonal co-ordinate system without incurring the
computational overheads normally associated with non-orthogonal FDTD.
We present results for local densities of states calculated using this method
for a number of systems. Firstly, we consider a simple one dimensional
dielectric multilayer, identifying the suppression in the state density caused
by the photonic band gap and then observing the effect of introducing a defect
layer into the periodic structure. Secondly, we tackle a more realistic example
by treating a defect in a crystal of dielectric spheres on a diamond lattice.
This could have application to the design of super-efficient laser devices
utilising defects in photonic crystals as laser cavities.Comment: RevTex file. 10 pages with 8 postscript figures. Submitted to Phys
Rev
Order N photonic band structures for metals and other dispersive materials
We show, for the first time, how to calculate photonic band structures for
metals and other dispersive systems using an efficient Order N scheme. The
method is applied to two simple periodic metallic systems where it gives
results in close agreement with calculations made with other techniques.
Further, the approach demonstrates excellent numerical stablity within the
limits we give. Our new method opens the way for efficient calculations on
complex structures containing a whole new class of material.Comment: Four pages, plus seven postscript figures. Submitted to Physical
Review Letter
Effective calculation of LEED intensities using symmetry-adapted functions
The calculation of LEED intensities in a spherical-wave representation can be substantially simplified by symmetry relations. The wave field around each atom is expanded in symmetry-adapted functions where the local point symmetry of the atomic site applies. For overlayer systems with more than one atom per unit cell symmetry-adapted functions can be used when the division of the crystal into monoatomic subplanes is replaced by division into subplanes containing all symmetrically equivalent atomic positions
Metamaterials proposed as perfect magnetoelectrics
Magnetoelectric susceptibility of a metamaterial built from split ring
resonators have been investigated both experimentally and within an equivalent
circuit model. The absolute values have been shown to exceed by two orders of
magnitude that of classical magnetoelectric materials. The metamaterial
investigated reaches the theoretically predicted value of the magnetoelectric
susceptibility which is equal to the geometric average of the electric and
magnetic susceptibilities.Comment: 5 pages, 3 figure
Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
We analyze the reflection and transmission coefficients calculated from
transfer matrix simulations on finite lenghts of electromagnetic metamaterials,
to determine the effective permittivity and permeability. We perform this
analysis on structures composed of periodic arrangements of wires, split ring
resonators (SRRs) and both wires and SRRs. We find the recovered
frequency-dependent permittivity and permeability are entirely consistent with
analytic expressions predicted by effective medium arguments. Of particular
relevance are that a wire medium exhibits a frequency region in which the real
part of permittivity is negative, and SRRs produce a frequency region in which
the real part of permeability is negative. In the combination structure, at
frequencies where both the recovered real part of permittivity and permeability
are simultaneously negative, the real part of the index-of-refraction is found
also to be unambigously negative.Comment: *.pdf file, 5 figure
Non-magnetic left-handed material
We develop a new approach to build a material with negative refraction index.
In contrast to conventional designs which make use of a resonant behavior to
achieve a non-zero magnetic response, our material is intrinsically
non-magnetic and relies on an anisotropic dielectric constant to provide a
left-handed response in waveguide geometry. We demonstrate that the proposed
material can support surface (polariton) waves, and show the connection between
polaritons and the enhancement of evanescent fields, also referred to as
super-lensing
Image of Veselago lens based upon two-dimensional photonic crystal with triangular lattice
The construction of the multi-focal Veselago lens predicted earlier is
proposed on the basis of a uniaxial photonic crystal consisting of cylindrical
air holes in silicon that make a triangular lattice in a plane perpendicular to
the axis of the crystal. The object and image are in air. The period of the
crystal should be to work at the wavelength .
The lens does not provide superlensing but the half-width of the image is
. The lens is shown to have wave guiding properties depending on
the substrate material.Comment: 15 pages, 10 figure
Anisotropy and oblique total transmission at a planar negative-index interface
We show that a class of negative index (n) materials has interesting
anisotropic optical properties, manifest in the effective refraction index that
can be positive, negative, or purely imaginary under different incidence
conditions. With dispersion taken into account, reflection at a planar
negative-index interface exhibits frequency selective total oblique
transmission that is distinct from the Brewster effect.
Finite-difference-time-domain simulation of realistic negative-n structures
confirms the analytic results based on effective indices.Comment: to appear in Phys. Rev.
Resonant transparency of materials with negative permittivity
It is shown that the transparency of opaque material with negative
permittivity exhibits resonant behavior. The resonance occurs as a result of
the excitation of the surface waves at slab boundaries. Dramatic field
amplification of the incident evanescent fields at the resonance improves the
resolution of the the sub-wavelength imaging system (superlens). A finite
thickness slab can be totally transparent to a \textit{p}-polarized obliquely
incident electromagnetic wave for certain values of the incidence angle and
wave frequency corresponding to the excitation of the surface modes. At the
resonance, two evanescent waves have a finite phase shift providing non-zero
energy flux through the non-transparent region
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