Abstract In this letter, an analytical method for the beampattern synthesis of symmetric nonuniform array is proposed. This consists two steps. first step, it acquires a real excitation by convex optimization to attain pencil beam. second superposes beams pointing in different directions synthesize prescribed beampattern. Numerical results are provided verify effectiveness proposed method.

We formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three ...

Entanglement is Schrödinger’s name for superposition in a multi-particle system. In particular he called entangled states two-particle states that cannot be factored into products of two single-particle states in any representation. Multi-particle superposition is considered to be the characteristic trait of quantum mechanics [1]. If one cannot distinguish (even in principle) between different ...

The best method for investigating moiré phenomena in the superposition of periodic layers is based on the Fourier approach. However, superposition moiré effects are not limited to periodic layers, and they also occur between repetitive structures that are obtained by geometric transformations of periodic layers. We present in this paper the basic rules based on the Fourier approach that govern ...

We consider an alternative formula for the negativity based on a simple generalization of the concurrence. We use the formula to bound the amount of entanglement in a superposition of two bipartite pure states of arbitrary dimension. Various examples indicate that our bounds are tighter than the previously known results.