Gratings superposed spatially by writing in laterally separated regions

Convective instabilities in two superposed horizontal liquid layers heated laterally.

This work is devoted to the theoretical study of the stability of two superposed horizontal liquid layers bounded by two solid planes and subjected to a horizontal temperature gradient. The liquids are supposed to be immiscible with a nondeformable interface. The forces acting on the system are buoyancy and interfacial tension. Four different flow patterns and temperature profiles are found for...

Placement and characterization of pairs of luminescent molecules in spatially separated regions of nanostructured thin films.

Methods of making mesostructured sol-gel silicate thin films containing two different molecules deliberately placed in two different spatially separated regions in a one-step, one-pot preparation are developed and demonstrated. When the structure-directing agent is the surfactant cetyltrimethylammonium bromide, the structure is 2-D hexagonal with lattice spacings between 31.6 and 42.1 angstroms...

Surface Waves in Laterally Inhomogeneous Regions

Contrast detection facilitation by spatially separated targets and inducers

We measured contrast detection thresholds for a small (3.6 x 3.6 arc min) square target in the presence and absence of spatially identical pedestal stimuli, and of a spatially non-overlapping inducing line (3.6 x 23 arc min). Results for the pedestal stimuli replicated the classical "dipper function", thresholds being reduced by near-threshold pedestals and increased at higher pedestal contrast...

Tunneling gap of laterally separated quantum Hall systems

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain the short-distance behavior of an integrable field theory, which then determines the low energy spectrum. We discuss the relationship of our results to the tunn...