59,462 research outputs found
Surface-mode microcavity
Optical microcavities based on zero-group-velocity surface modes in photonic
crystal slabs are studied. It is shown that high quality factors can be easily
obtained for such microcavities in photonic crystal slabs. With increasing of
the cavity length, the quality factor is gradually enhanced and the resonant
frequency converges to that of the zero-group-velocity surface mode in the
photonic crystal. The number of the resonant modes with high quality factors is
mainly determined by the number of surface modes with zero-group velocity.Comment: 11 pages, 4 figure
B\"{a}cklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources
The B\"{a}cklund transformations between the constrained dispersionless KP
hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH)
and between the dispersionless KP hieararchy with self-consistent sources
(dKPHSCS) and the dispersionless mKP hieararchy with self-consistent sources
(dmKPHSCS) are constructed. The auto-B\"{a}cklund transformations for the
cdmKPH and for the dmKPHSCS are also formulated.Comment: 11 page
One-loop Factorization for Inclusive Hadron Production in Collisions in the Saturation Formalism
We demonstrate the QCD factorization for inclusive hadron production in
collisions in the saturation formalism at one-loop order, with explicit
calculation of both real and virtual gluon radiation diagrams. The collinear
divergences associated with the incoming parton distribution of the nucleon and
the outgoing fragmentation function of the final state hadron, as well as the
rapidity divergence with small- dipole gluon distribution of the nucleus are
factorized into the splittings of the associated parton distribution and
fragmentation functions and the energy evolution of the dipole gluon
distribution function. The hard coefficient function is evaluated at one-loop
order, and contains no divergence.Comment: 8 pages, 1 figur
Inclusive Hadron Productions in pA Collisions
We calculate inclusive hadron productions in pA collisions in the small-x
saturation formalism at one-loop order. The differential cross section is
written into a factorization form in the coordinate space at the
next-to-leading order, while the naive form of the convolution in the
transverse momentum space does not hold. The rapidity divergence with small-x
dipole gluon distribution of the nucleus is factorized into the energy
evolution of the dipole gluon distribution function, which is known as the
Balitsky-Kovchegov equation. Furthermore, the collinear divergences associated
with the incoming parton distribution of the nucleon and the outgoing
fragmentation function of the final state hadron are factorized into the
splittings of the associated parton distribution and fragmentation functions,
which allows us to reproduce the well-known DGLAP equation. The hard
coefficient function, which is finite and free of divergence of any kind, is
evaluated at one-loop order.Comment: 20 pages, 7 figures; v2 with minor updates and correction
A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow
In this article we propose a new fractional derivative without singular
kernel. We consider the potential application for modeling the steady
heat-conduction problem. The analytical solution of the fractional-order heat
flow is also obtained by means of the Laplace transform.Comment: 1 figur
A new fractional derivative involving the normalized sinc function without singular kernel
In this paper, a new fractional derivative involving the normalized sinc
function without singular kernel is proposed. The Laplace transform is used to
find the analytical solution of the anomalous heat-diffusion problems. The
comparative results between classical and fractional-order operators are
presented. The results are significant in the analysis of one-dimensional
anomalous heat-transfer problems.Comment: Keywords: Fractional derivative, anomalous heat diffusion, integral
transform, analytical solutio
Squeezed-state generation in optical bistability
Experiments to generate squeezed states of light are described for a collection of two-level atoms within a high-finesse cavity. The investigation is conducted in a regime for which the weak-field coupling of atoms to the cavity mode produces a splitting in the normal mode structure of the atom-field system that is large compared with the atomic linewidth. Reductions in photocurrent noise of 30% (-1.55 dB) below the noise level set by the vacuum state of the field are observed in a balanced homodyne detector. A degree of squeezing of approximately 50% is inferred for the field state in the absence of propagation and detection losses. The observed spectrum of squeezing extends over a very broad range of frequencies (~±75 MHz), with the frequency of best squeezing corresponding to an offset from the optical carrier given by the normal mode splitting
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