We demonstrate a new method to generate second-harmonic Talbot effect through degenerate Cherenkov radiation in one-dimension anomalous-dispersion-like nonlinear photonic crystals. In anomalous-dispersion-like medium, the degenerated nonlinear Cherenkov radiation can be achieved and is parallel to domain walls, of which the intensity is adjusted by the second-order nonlinear coefficient. In thi...

The nonlinear Talbot effect, in which self-images are formed by generated parametric light from the nonlinear optical process, is presented in this paper. The comparison is made between the conventional Talbot effect and the newly observed nonlinear case. The essence of such nonlinear self-images is provided and future work on this effect is also discussed. The conceptional extension achieved h...

We discuss the nonlinear extension to the integrated Sachs-Wolfe effect ~ISW! resulting from the divergence of the large scale structure momentum density field. The nonlinear ISW effect leads to an increase in the total ISW contribution by roughly two orders of magnitude at l;1000. This increase, however, is still below the cosmic variance limit of the primary anisotropies; at further small ang...

The quantum kinetic equation for charged particles in strong electric fields is used to derive the nonlinear particle flux. The relaxation field is calculated quantum mechanically up to any order in the applied field provided a given Maxwellian plasma. The classical limit is given in analytical form. In the range of weak fields the deformation of the screening cloud is responsible for the Debye...

An effect of a mean differential rotation on the nonlinear mean electromotive force in a turbulent flow is studied. An interaction of the mean differential rotation (i.e., a mean velocity shear) with a small-scale turbulent motions can cause a generation of a mean magnetic field even in a nonhelical turbulent fluid flow. This mechanism of a mean-field dynamo is associated with a ”shear-current”...

Nonlinear vibration behavior of beam is an important issue of structural engineering. In this study, a mathematical modeling of a forced nonlinear vibration of Euler-Bernoulli beam resting on nonlinear elastic foundation is presented. The nonlinear vibration behavior of the beam is investigated by using a modified multi-level residue harmonic balance method. The main advantage of the method is ...

The evolution of inhomogeneities in a spherical collapse model is studied by expanding the Einstein equation in powers of inverse radial parameter. In the linear regime, the density contrast is obtained for flat, closed and open universes. In addition to the usual modes, an infinite number of new growing modes are contained in the solutions for pressureless open and closed universes. In the non...

An elastoviscoplastic three-dimensional model is proposed in order to predict the response of brake discs for a High Speed Train (T.G.V.), which are subjected simultaneously to mechanical and thermal loadings. This elastoviscoplastic law is based on the internal thermodynamic variables and takes into account the non-linear kinematic and isotropic hardening with plastic strain memory effect. A m...

A hidden nonlinear bosonized supersymmetry was revealed recently in Pöschl-Teller and finite-gap Lamé systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential differences. In particular, the kernel of the supercharges of the Pöschl-Teller system, unlike the case of Lamé equation, includes nonphysical states. By means of L...

The stability of non-linear Integrable Optics Test Accelerator (IOTA) model developed in [1] was tested. The area of the stable region in transverse coordinates and the maximum attainable tune spread were found as a function of non-linear lens strength. Particle loss as a function of turn number was analyzed to determine whether a dynamic aperture limitation present in the system. The system wa...