Broad-area vertical-cavity surface-emitting lasers (BA-VCSELs) can exhibit a state of spatially incoherent emission, as we recently reported in [M. Peeters et al., Opt. Express, 13, 9337 (2005)]. Here, we experimentally study the evolution of a BA-VCSEL under pulsed operation from well-defined modal emission with a multitude of transverse cavity modes to such spatially incoherent emission. The ...

The long-term health effects of air pollution can be estimated using a spatio-temporal ecological study, where the disease data are counts of hospital admissions from populations in small areal units at yearly intervals. Spatially representative pollution concentrations for each areal unit are typically estimated by applying Kriging to data from a sparse monitoring network, or by computing aver...

Few analytic results exist for the firing-rate dynamics of spatially extended neuron models driven by distributed synaptic input. Using an upcrossing approximation firing rate, statistics spatiotemporal voltage are derived and show that minimal dendritic exhibit unexpectedly sustained high-frequency response.

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called multiplicative noise, appear ubiquitously in physics, biology, economy and social sciences. The properties of spatially extended systems with this type of stochasticity, paying special attention to the non-equilibrium phase transitions these systems may exhibit, are reviewed here...

Extended Abstract. Inferences for spatial data are affected substantially by the spatial configuration of the network of sites where measurements are taken. Consider the following standard data-model framework for spatial data. Suppose a continuous, spatially-varying quantity, Z, is to be observed at a predetermined number, n, of points ....[ To Countinue Click here]

In the present study, analytical solutions are obtained for two-dimensional advection dispersion equation for conservative solute transport in a semi-infinite heterogeneous porous medium with pulse type input point source of uniform nature. The change in dispersion parameter due to heterogeneity is considered as linear multiple of spatially dependent function and seepage velocity whereas seepag...

We study a quasistatic evolution problem for Cam-Clay plasticity under a special loading program which leads to spatially homogeneous solutions. Under some initial conditions, the solutions exhibit a softening behaviour and time discontinuities. The behavior of the solutions at the jump times is studied by a viscous approximation.