12,436 research outputs found
Spinor Fields and Symmetries of the Spacetime
In the background of a stationary black hole, the "conserved current" of a
particular spinor field always approaches the null Killing vector on the
horizon. What's more, when the black hole is asymptotically flat and when the
coordinate system is asymptotically static, then the same current also
approaches the time Killing vector at the spatial infinity. We test these
results against various black hole solutions and no exception is found. The
spinor field only needs to satisfy a very general and simple constraint.Comment: 19 page
Averaging approximation to singularly perturbed nonlinear stochastic wave equations
An averaging method is applied to derive effective approximation to the
following singularly perturbed nonlinear stochastic damped wave equation \nu
u_{tt}+u_t=\D u+f(u)+\nu^\alpha\dot{W} on an open bounded domain
\,, \,. Here is a small parameter
characterising the singular perturbation, and \,, \,, parametrises the strength of the noise. Some scaling transformations
and the martingale representation theorem yield the following effective
approximation for small , u_t=\D u+f(u)+\nu^\alpha\dot{W} to an error of
\ord{\nu^\alpha}\,.Comment: 16 pages. Submitte
Dynamics of two laterally coupled semiconductor lasers: strong- and weak-coupling theory.
Copyright © 2008 The American Physical SocietyThe stability and nonlinear dynamics of two semiconductor lasers coupled side to side via evanescent waves are investigated by using three different models. In the composite-cavity model, the coupling between the lasers is accurately taken into account by calculating electric field profiles (composite-cavity modes) of the whole coupled-laser system. A bifurcation analysis of the composite-cavity model uncovers how different types of dynamics, including stationary phase-locking, periodic, quasiperiodic, and chaotic intensity oscillations, are organized. In the individual-laser model, the coupling between individual lasers is introduced phenomenologically with ad hoc coupling terms. Comparison with the composite-cavity model reveals drastic differences in the dynamics. To identify the causes of these differences, we derive a coupled-laser model with coupling terms which are consistent with the solution of the wave equation and the relevant boundary conditions. This coupled-laser model reproduces the dynamics of the composite-cavity model under weak-coupling conditions
Gain spectroscopy of a type-II VECSEL chip
Using optical pump-white light probe spectroscopy the gain dynamics is
investigated for a VECSEL chip which is based on a type-II heterostructure. The
active region the chip consists of a GaAs/(GaIn)As/Ga(AsSb)/(GaIn)As/GaAs
multiple quantum well. For this structure, a fully microscopic theory predicts
a modal room temperature gain at a wavelength of 1170 nm, which is confirmed by
experimental spectra. The results show a gain buildup on the type-II chip which
is delayed relative to that of a type-I chip. This slower gain dynamics is
attributed to a diminished cooling rate arising from reduced electron-hole
scattering.Comment: 4 pages, 4 figure
Controlling extended systems with spatially filtered, time-delayed feedback
We investigate a control technique for spatially extended systems combining
spatial filtering with a previously studied form of time-delay feedback. The
scheme is naturally suited to real-time control of optical systems. We apply
the control scheme to a model of a transversely extended semiconductor laser in
which a desirable, coherent traveling wave state exists, but is a member of a
nowhere stable family. Our scheme stabilizes this state, and directs the system
towards it from realistic, distant and noisy initial conditions. As confirmed
by numerical simulation, a linear stability analysis about the controlled state
accurately predicts when the scheme is successful, and illustrates some key
features of the control including the individual merit of, and interplay
between, the spatial and temporal degrees of freedom in the control.Comment: 9 pages REVTeX including 7 PostScript figures. To appear in Physical
Review
KINEMATIC COMPARISON OF TWO RACING WHEELCHAIR PROPULSION TECHNIQUES
The purpose of this study was to quantify selected 3-D kinematic characteristics of the upper body during racing wheelchair stroking over a roller system using the conventional technique (CVT) and para-backhand technique (PBT). Eight CVT and seven PBT users served as the subjects. Each subject performed maximum effort stroking for 30 s at two loads and was recorded by two S-VHS camcorders (60 Hz). The CVT was found to have significant shorter push time, smaller relative push time, and greater relative recovery time than the PBT. Significant difference in arm position at the instant of hand release was found between the two techniques and the difference may have implications for the stress placed on the structures around the shoulder joint. When compared to each other, the CVT is a more compact stroke and the PBT has a faster overall movement speed
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