A nonlinear optical, interferometric method for improving the resolution of a lithographic system by an arbitrarily large factor with high visibility is described. The technique is implemented experimentally for both twofold and three-fold enhancement of the resolution with respect to the traditional Rayleigh limit. In these experiments, an N-photon-absorption recording medium is simulated by N...

Diffusionless Lorenz equations (DLE) are a simple one-parameter version of the wellknown Lorenz model, which was obtained in the limit of high Rayleigh and Prandtl numbers, physically corresponding to diffusionless convection. A simple control method is presented to control chaos by using periodic parameter perturbation in DLE. By using the generalized Melnikov method, the parameter conditions ...

We present an exact calculation for the scattering of light from a single sphere made of a Faraday-active material, into first order of the external magnetic field. When the size of the sphere is small compared to the wavelength the known T-matrix for a magneto-active Rayleigh scatterer is found. We address the issue whether or not there is a so called Photonic Hall Effect-a magneto-transverse ...

The Reverse Link (mobile to base station) average data rate carrying capacity of a CDMA communications system is analyzed comparing different antenna array spatial combining algorithms: Optimum Combining (OC) versus Maximal Ratio Combining (MRC) in a multi-user system employing multi-rate traffic (combined voice and data users) over Rayleigh faded channels. Typical CDMA power and interference r...

Thin jets of viscous fluid like honey falling from capillary nozzles can attain lengths exceeding 10 m before breaking up into droplets via the Rayleigh-Plateau (surface tension) instability. Using a combination of laboratory experiments and WKB analysis of the growth of shape perturbations on a jet being stretched by gravity, we determine how the jet's intact length l(b) depends on the flow ra...

We consider nanometer-sized fluid annuli (rings) deposited on a solid substrate and ask whether these rings break up into droplets due to the instability of Rayleigh-Plateau-type modified by the presence of the substrate, or collapse to a central drop due to the presence of azimuthal curvature. The analysis is carried out by a combination of atomistic molecular dynamics simulations and a contin...

Topological insulators (TIs) exhibit many exotic properties. In particular, a topological magneto-electric (TME) effect, quantized in units of the fine structure constant, exists in TIs. Here, we theoretically study the scattering properties of electromagnetic waves by TI circular cylinders particularly in the Rayleigh scattering limit. Compared with ordinary dielectric cylinders, the scatterin...

Noncoherent communication over the Rayleigh flat fading channel with multiple transmit and receive antennas is investigated. Codes achieving bit error rate (BER) lower than 10 4 at bit energy over the noise spectral density ratio ( 0) of 0.8 to 2.8 dB from the capacity limit were found with coding rates of 0.5 to 2.25 bits per channel use. The codes are serial concatenation of a turbo code and ...

We use diamagnetic levitation to investigate the shapes and the stability of free electrically charged and spinning liquid drops of volume ∼1 ml. In addition to binary fission and Taylor cone-jet fission modes observed at low and high charge density, respectively, we also observe an unusual mode which appears to be a hybrid of the two. Measurements of the angular momentum required to fission a ...

This work describes a projection method for approximating incompressible viscous 1ows of nonuniform density. It is shown that unconditional stability in time is possible provided two projections are performed per time step. A 3nite element implementation and a 3nite volume one are described and compared. The performance of the two methods are tested on a Rayleigh–Taylor instability. We show tha...