In this work, we theoretically and experimentally study the physical process of Airy beams induced by binary phase patterns combined with a slope factor. Theoretical simulations show that the binary phase patterns generate a pair of symmetrically inverted twin Airy beams. The slope factor can regulate the spacing between the two Airy beam peaks, decrease the error induced by the binarization pr...

We present a basic theory on Airy surface magneto plasmons (SMPs) at the interface between a dielectric layer and a metal layer (or a doped semiconductor layer) under an external static magnetic field in the Voigt configuration. It is shown that, in the paraxial approximation, the Airy SMPs can propagate along the surface without violating the nondiffracting characteristics, while the ballistic...

In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second- and third-order dispersion effects are considered. The mathematical method presented here, which is based on the superposition of exponentially truncated Airy pulses, is very effective and allows us to avoid the use of time-consuming numerical simulations. We analyze the ...

We consider an analogue of Kontsevich's matrix Airy function where the cubic potential $\mathrm{Tr}(\Phi^3)$ is replaced by a quartic term $\mathrm{Tr}(\Phi^4)$. Cumulants resulting measure are known to decompose into cycle types for which recursive system equations can be established. develop new, purely algebraic geometrical solution strategy two initial recursion, based on properties Cauchy ...

The unique bending and shape-preserving properties of optical Airy beams offer a large range of applications in for example beam routing, optical waveguiding, particle manipulation and plasmonics. In these applications and others, the Airy beam may experience nonlinear light-matter interactions which in turn modify the Airy beam properties and propagation. A well-known example is light self-foc...

The effective action for light mesons in the external uniform static electromagnetic fields was obtained on the basis of QCD string theory. We imply that in the presence of light quarks the area law of the Wilson loop integral is valid. The approximation of the Nambu-Goto straight-line string is used to simplify the problem. The Coulomb-like short-range contribution which goes from one-gluon ex...

The effective action for light mesons in the external uniform static electromagnetic fields has been obtained on the basis of QCD string theory. We argue for an area law of the Wilson loop in the presence of light quarks. The Nambu-Goto straight-line string approximation is used to simplify the problem. The Coulomb-like short-range contribution from one-gluon exchange has also been neglected. W...

We consider the Hankel determinant representation for the rational solutions of the Painlevé II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function, which by itself is a particular solution of the Painlevé II equation.

the effects of dietary nucleotide (nt) were evaluated on some serum biochemical parameters and acute stress responses of the catfish (pangasianodon hypophthalmus). five experimental diets including 0, 0.25, 0.5, 0.75, and 1% nt were supplied to catfish fry for 10 weeks. at the end of the experiment, fish fed the control and 1% nt diets were subjected to handling and crowding stress. the results...

We study the distribution of area under normalized excursion a spectrally positive stable Lévy process L, as well its meander, and L conditioned to stay positive. Our results involve special case Wright’s function, which may be seen generalization classic Airy function appearing in similar Brownian’s areas.