Revisit Kerker's conditions by means of the phase diagram

For passive electromagnetic scatterers, we explore a variety of extreme limits on directional scattering patterns in phase diagram, regardless of details on the geometric configurations and material properties. By demonstrating the extinction cross-sections with the power conservation intrinsically embedded in phase diagram, we give an alternative interpretation for Kerker first and second conditions, associated with zero backward scattering (ZBS) and nearly zero forward scattering (NZFS). The physical boundary and limitation for these directional radiations are illustrated, along with a generalized Kerker condition with implicit parameters. By taking the dispersion relations of gold-silicon core-shell nanoparticles into account, based on the of phase diagram, we reveal the realistic parameters to experimentally implement ZBS and NZFS at optical frequencies.Comment: 8 pages, 4 figure

PRICE, YIELD, AND GROSS REVENUE VARIABILITY FOR SELECTED GEORGIA CROPS

Demand and Price Analysis,

Observing various phase transitions in the holographic model of superfluidity

We study the gravity duals of supercurrent solutions in the AdS black hole background with general phase structure to describe both the first and the second order phase transitions at finite temperature in strongly interacting systems. We argue that the conductivity and the pair susceptibility can be possible phenomenological indications to distinguish the order of phase transitions. We extend our discussion to the AdS soliton configuration. Different from the black hole spacetime, in the probe limit the first order phase transition cannot be brought by introducing the spatial component of the vector potential of the gauge field in the AdS soliton background.Comment: 12 pages, 8 figures, accepted for publication in Phys.Rev.

Spatial working memory in young adolescents with different childhood trajectories of internalizing, conduct and hyperactivity/inattention problems

BACKGROUND: In children, internalizing and externalizing problems impact on learning. However, there is limited research on the specific impact of such problems on spatial working memory (SWM), strongly related to cognitive ability and children’s learning. AIMS: We explored distinct trajectories of internalizing problems and externalizing problems (conduct problems and hyperactivity/inattention) in a large general-population sample of children followed from age 3 to age 11 years. We then assessed their role in SWM performance at age 11 years. SAMPLE: Data were drawn from the UK’s Millennium Cohort Study. Our analytic sample was children with data on SWM at age 11 years (N = 12,589). METHODS: There were two stages of data analysis. Trajectory group membership was firstly estimated by group-based trajectory modelling for internalizing problems, conduct problems, and hyperactivity/inattention at ages 3–11 years. Multiple regression then assessed the relationship between SWM at age 11 years and trajectory group membership after accounting for confounders. RESULTS: Trajectories of internalizing, conduct, and hyperactivity/inattention symptoms across ages 3 to 11 years were related to SWM at age 11 years, even after controlling for confounding variables. For each of the three symptom domains, poor SWM was most consistently found in children with chronically high levels of symptoms. CONCLUSIONS: In general, atypical patterns of internalizing problems, conduct problems, and hyperactivity/inattention in childhood were related to poorer SWM in early adolescence

Efficient input and output fiber coupling to a photonic crystal waveguide

The efficiency of evanescent coupling between a silica optical fiber taper and a silicon photonic crystal waveguide is studied. A high reflectivity mirror on the end of the photonic crystal waveguide is used to recollect, in the backwards propagating fiber mode, the optical power that is initially coupled into the photonic crystal waveguide. An outcoupled power in the backward propagating fiber mode of 88% of the input power is measured, corresponding to a lower bound on the coupler efficiency of 94%

Anomalous gauge couplings of the Higgs boson at high energy photon colliders

We study the sensitivity of testing the anomalous gauge couplings $g_{HVV}$'s of the Higgs boson in the formulation of linearly realized gauge symmetry via the processes $\gamma\gamma\to ZZ$ and $\gamma\gamma\to WWWW$ at polarized and unpolarized photon colliders based on $e^+e^-$ linear colliders of c.m.~energies 500 GeV, 1 TeV, and 3 TeV. Signals beyond the standard model (SM) and SM backgrounds are carefully studied. We propose certain kinematic cuts to suppress the standard model backgrounds. For an integrated luminosity of 1 ab$^{-1}$, we show that (a) $\gamma\gamma\to ZZ$ can provide a test of $g_{H\gamma\gamma}$ to the $3\sigma$ sensitivity of $O(10^{-3}-10^{-2})$ TeV$^{-1}$ at a 500 GeV ILC, and $O(10^{-3})$ TeV$^{-1}$ at a 1 TeV ILC and a 3 TeV CLIC, and (b) $\gamma\gamma\to WWWW$ at a 3 TeV CLIC can test all the anomalous couplings $g_{HVV}$'s to the $3\sigma$ sensitivity of $O(10^{-3}-10^{-2})$ TeV$^{-1}$.Comment: 30 pages, 17 figure