Focusing of Intense Subpicosecond Laser Pulses in Wedge Targets

Two dimensional particle-in-cell simulations characterizing the interaction of ultraintense short pulse lasers in the range 10^{18} \leq I \leq 10^{20} W/cm^{2} with converging target geometries are presented. Seeking to examine intensity amplification in high-power laser systems, where focal spots are typically non-diffraction limited, we describe key dynamical features as the injected laser intensity and convergence angle of the target are systematically varied. We find that laser pulses are focused down to a wavelength with the peak intensity amplified by an order of magnitude beyond its vacuum value, and develop a simple model for how the peak location moves back towards the injection plane over time. This performance is sustained over hundreds of femtoseconds and scales to laser intensities beyond 10^{20} W/cm^{2} at 1 \mu m wavelength.Comment: 5 pages, 6 figures, accepted for publication in Physics of Plasma

Dark Energy Constraints from Galaxy Cluster Peculiar Velocities

Future multifrequency microwave background experiments with arcminute resolution and micro-Kelvin temperature sensitivity will be able to detect the kinetic Sunyaev-Zeldovich (kSZ) effect, providing a way to measure radial peculiar velocities of massive galaxy clusters. We show that cluster peculiar velocities have the potential to constrain several dark energy parameters. We compare three velocity statistics (the distribution of radial velocities, the mean pairwise streaming velocity, and the velocity correlation function) and analyze the relative merits of these statistics in constraining dark energy parameters. Of the three statistics, mean pairwise streaming velocity provides constraints that are least sensitive to velocity errors: the constraints on parameters degrades only by a factor of two when the random error is increased from 100 to 500 km/s. We also compare cluster velocities with other dark energy probes proposed in the Dark Energy Task Force report. For cluster velocity measurements with realistic priors, the eventual constraints on the dark energy density, the dark energy equation of state and its evolution are comparable to constraints from supernovae measurements, and better than cluster counts and baryon acoustic oscillations; adding velocity to other dark energy probes improves constraints on the figure of merit by more than a factor of two. For upcoming Sunyaev-Zeldovich galaxy cluster surveys, even velocity measurements with errors as large as 1000 km/s will substantially improve the cosmological constraints compared to using the cluster number density alone.Comment: 25 pages, 10 figures. Results and conclusions unchanged. Minor changes to match the accepted version in Physical Review

Strong-coupling approach to the Mott--Hubbard insulator on a Bethe lattice in Dynamical Mean-Field Theory

We calculate the Hubbard bands for the half-filled Hubbard model on a Bethe lattice with infinite coordination number up to and including third order in the inverse Hubbard interaction. We employ the Kato--Takahashi perturbation theory to solve the self-consistency equation of the Dynamical Mean-Field Theory analytically for the single-impurity Anderson model in multi-chain geometry. The weight of the secondary Hubbard sub-bands is of fourth order so that the two-chain geometry is sufficient for our study. Even close to the Mott--Hubbard transition, our results for the Mott--Hubbard gap agree very well with those from numerical Dynamical Density-Matrix Renormalization Group (DDMRG) calculations. The density of states of the lower Hubbard band also agrees very well with DDMRG data, apart from a resonance contribution at the upper band edge which cannot be reproduced in low-order perturbation theory.Comment: 40 pages, 7 figure

Transforming (perceived) Rigidity in Environmental Law Through Adaptive Governance

The Endangered Species Act (ESA) is often portrayed as a major source of instability and crisis in river basins of the U. S. West, where the needs of listed fish species frequently clash with agriculture dependent on federal irrigation projects subject to ESA Section 7 prohibitions on federal agency actions likely to jeopardize listed species or adversely modify critical habitat. Scholarship on Section 7 characterizes the process as unwaveringly rigid, the legal “hammer†forcing federal agencies to consider endangered species’ needs when proposing operations and management plans for federally funded irrigation. In this paper, we identify barriers to an integrated approach to Section 7 implementation and characterize a set of strategies for overcoming its rigidity that may have broader applicability. We draw on lessons derived from the Klamath Basin along the Oregon-California border, where cross-scale processes and venues involving interagency collaboration among leaders in the U.S. Fish and Wildlife Service, the National Marine Fisheries Service, and the U.S. Bureau of Reclamation supported efforts to replace an ecologically and socially fragmented Upper Basin/Lower Basin approach to ESA implementation fraught with conflict. The result was the nation’s first joint biological opinion (BiOp), which effectively institutionalized an adaptive, flexible, integrated approach to water sharing among competing interests. Keys to success included existing collaborative capacity related to shifting stakeholder networks, trust, and relationships and a shift in local agency culture facilitated by empathic leadership leading to a greater sense of shared responsibility for Section 7 compliance. A collaborative hydrologic modeling process enhanced participatory capacity, facilitated transformative social and technical learning, and cultivated greater understanding of the social-ecological system among key stakeholders. The 2013 joint BiOp exemplifies both governmental capacity for flexibility and evolution within the constraints of formal law and the potential for greater integration among federal agencies and between federal agencies and stakeholders involved in ESA implementation

Surface Oscillations in Overdense Plasmas Irradiated by Ultrashort Laser Pulses

The generation of electron surface oscillations in overdense plasmas irradiated at normal incidence by an intense laser pulse is investigated. Two-dimensional (2D) particle-in-cell simulations show a transition from a planar, electrostatic oscillation at $2\omega$, with $\omega$ the laser frequency, to a 2D electromagnetic oscillation at frequency $\omega$ and wavevector $k>\omega/c$. A new electron parametric instability, involving the decay of a 1D electrostatic oscillation into two surface waves, is introduced to explain the basic features of the 2D oscillations. This effect leads to the rippling of the plasma surface within a few laser cycles, and is likely to have a strong impact on laser interaction with solid targets.Comment: 9 pages (LaTeX, Revtex4), 4 GIF color figures, accepted for publication in Phys. Rev. Let