In this Letter, we propose a general real-space method for the generation of nonparaxial accelerating beams with arbitrary predefined convex trajectories. Our results lead to closed-form expressions for the required phase at the input plane. We present such closed-form results for a variety of caustic curves: beside circular, elliptic, and parabolic, we find for the first time general power-law...

In a previous paper (Marchand, 1954) the sociological aspects of caustic soda poisoning in Johannesburg were discussed. That review dealt with 116 cases treated during the four-year period July, 1948, to July, 1952. A second communication (Marchand, 1955) on acute caustic injuries was based upon five years' experience and a total of 152 cases. Between July, 1953, and July, 1954, a further 56 pa...

We consider a semi-classically scaled Schrödinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after caustic onset this convergence in general no longer holds. In addition, we provide numerical simula...

From a geometric perspective, the caustic is most classical description of wavefunction since its evolution governed by Hamilton-Jacobi equation. On other hand, according to Madelung-de Broglie-Bohm equations, solution Schr\"odinger equation given zeros Madelung-Bohm potential. In this work, we compare these descriptions and, analyzing how rays are organized over caustic, find that wavefunction...

The major objective of this work is to improve the pretreatments of brewer's spent grains (BSG) aiming at their use as a source for lignocellulosic yeast carriers (LCYC) production. Therefore, several pretreatments of BSG have been designed aiming at obtaining various yeast carriers, differing on their physicochemical composition. Cellulose, hemicellulose, lignin, fat, protein, and ash content ...

INTRODUCTION One of the leading causes of damage to the gastrointestinal tract in children is caustic ingestion which is sometimes life-threatening. The most reliable way to study the severity and extent of damage is endoscopy, which can be harmless in terms of time and technique. The aim of this study was to investigate, evaluate and compare clinical findings and endoscopic results of caustic ...

With a handful of measurements of limb-darkening coefficients, galactic microlensing has already proven to be a powerful technique for studying atmospheres of distant stars. Survey campaigns such as OGLE-III are capable of providing ∼ 10 suitable target stars per year that undergo microlensing events involving passages over the caustic created by a binary lens, which last from a few hours to a ...

An experimental set-up of the method of caustics was proposed for the accurate evaluation of stress intensity factor. The stress intensity factor evaluation was based on a new formula which was based on the caustic shape area. The new formula was based on the shape area of the caustics. The stress optical constants were evaluated according to the new formula of the stress intensity factor. The ...

Among all galactic microlensing events, those involving a passage of the observed source star over the caustic created by a binary lens are particularly useful in providing information about stellar atmospheres, the dynamics of stellar populations in our own and neighbouring galaxies, and the statistical properties of stellar and sub-stellar binaries. This paper presents a comprehensive guide f...

A caustic is an envelope of a family of rays of geometrical optics. At a caustic, the usual equations of geometrical optics are not valid. We give a formal asymptotic series, valid both near and away from a smooth caustic, which satisfies the differential equation exactly. In the case of high-frequency oscillations, the solution is represented in terms of the Airy function and its derivative. T...