7,407 research outputs found
The obstacle problem for the infinity fractional laplacian
Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ. This function u minimizes the α-H¨older semi-norm of all possible extensions with these properties and it is a viscosity solution of the associated obstacle problem for the infinity fractional Laplace operator.Fil: Moreno Mérida, Lourdes. Universidad de Granada; EspañaFil: Vidal, Raúl Emilio. Consejo Nacional de Investigaciones CientÃficas y Técnicas. Centro CientÃfico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentin
Wavelength de-multiplexing properties of a single aperture flanked by periodic arrays of indentations
In this paper we explore the transmission properties of single subwavelength
apertures perforated in thin metallic films flanked by asymmetric
configurations of periodic arrays of indentations. It is shown how the
corrugation in the input side can be used to transmit selectively only two
different wavelengths. Also, by tuning the geometrical parameters defining the
corrugation of the output side, these two chosen wavelengths can emerge from
the structure as two very narrow beams propagating at well-defined directions.
This new ability of structured metals can be used as a base to build
micron-sized wavelength de-multiplexers.Comment: Accepted for publication in Photonics and Nanostructure
Fir system identification using a linear combination of cumulants
A general linear approach to identifying the parameters of a moving average (MA) model from the statistics of the output is developed. It is shown that, under some constraints, the impulse response of the system can be expressed as a linear combination of cumulant slices. This result is then used to obtain a new well-conditioned linear method to estimate the MA parameters of a nonGaussian process. The proposed approach does not require a previous estimation of the filter order. Simulation results show improvement in performance with respect to existing methods.Peer ReviewedPostprint (published version
Non-reciprocal few-photon devices based on chiral waveguide-emitter couplings
We demonstrate the possibility of designing efficient, non reciprocal
few-photon devices by exploiting the chiral coupling between two waveguide
modes and a single quantum emitter. We show how this system can induce
non-reciprocal photon transport at the single-photon level and act as an
optical diode. Afterwards, we also show how the same system shows a
transistor-like behaviour for a two-photon input. The efficiency in both cases
is shown to be large for feasible experimental implementations. Our results
illustrate the potential of chiral waveguide-emitter couplings for applications
in quantum circuitry.Comment: Mathematica notebook attached for calculation of detection
probabilitie
Edge and waveguide THz surface plasmon modes in graphene micro-ribbons
Surface plasmon modes supported by graphene ribbon waveguides are studied and
classified. The properties of both modes with the field concentration within
the ribbon area (waveguiding modes) and on the edges (edge modes) are
discussed. The waveguide and edge modes are shown to be separated from each
other by a gap in wavenumbers. The even-parity hybridized edge mode results to
be the fundamental electromagnetic mode of the ribbon, possessing also the
lowest losses. All the plasmonic modes in the ribbons have an optimum
frequency, at which the absorption losses are minimum, due to competition
between the plasmon confinement and the frequency dependence of absorption in
graphene.Comment: 4 pages, 4 figure
On the transmission of light through a single rectangular hole
In this Letter we show that a single rectangular hole exhibits transmission
resonances that appear near the cutoff wavelength of the hole waveguide. For
light polarized with the electric field pointing along the short axis, it is
shown that the normalized-to-area transmittance at resonance is proportional to
the ratio between the long and short sides, and to the dielectric constant
inside the hole. Importantly, this resonant transmission process is accompanied
by a huge enhancement of the electric field at both entrance and exit
interfaces of the hole. These findings open the possibility of using
rectangular holes for spectroscopic purposes or for exploring non-linear
effects.Comment: Submitted to PRL on Feb. 9th, 200
A chiral route to spontaneous entanglement generation
We study the generation of spontaneous entanglement between two qubits
chirally coupled to a waveguide. The maximum achievable concurrence is
demonstrated to increase by a factor of as compared to the
non-chiral coupling situation. The proposed entanglement scheme is shown to be
robust against variation of the qubit properties such as detuning and
separation, which are critical in the non-chiral case. This result relaxes the
restrictive requirements of the non-chiral situation, paving the way towards a
realistic implementation. Our results demonstrate the potential of chiral
waveguides for quantum entanglement protocols.Comment: 5 pages + 1 page supplemental, 4 figure
Terahertz surface plasmon polariton propagation and focusing on periodically corrugated metal wires
In this letter we show how the dispersion relation of surface plasmon
polaritons (SPPs) propagating along a perfectly conducting wire can be tailored
by corrugating its surface with a periodic array of radial grooves. In this
way, highly localized SPPs can be sustained in the terahertz region of the
electromagnetic spectrum. Importantly, the propagation characteristics of these
spoof SPPs can be controlled by the surface geometry, opening the way to
important applications such as energy concentration on cylindrical wires and
superfocusing using conical structures.Comment: accepted at PRL, submitted 29th May 200
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