Using the nonlinear coherent states method, a formalism for the construction of the coherent states associated to ”inverse bosonic operators” and their dual family has been proposed. Generalizing the approach, the ”inverse of f -deformed ladder operators” corresponding to the nonlinear coherent states in the context of quantum optics and the associated coherent states have been introduced. Fina...

We have probed the linear and nonlinear terahertz (THz) properties of magnetoexcitons in GaAs/AlGaAs quantum wells. By monitoring photoluminescence from the quantum wells that were simultaneously driven by THz fields, we have directly observed internal transitions of excitons. In the nonlinear, high-THz-excitation regime, we observed mixing of optical and THz radiation, which resulted in THz op...

This research addresses the mixed convection flow of an Oldroyd-B fluid in a doubly stratified surface. Both temperature and concentration stratification effects are considered. Thermal radiation and chemical reaction effects are accounted. The governing nonlinear boundary layer equations are converted to coupled nonlinear ordinary differential equations using appropriate transformations. Resul...

We develop a nonlinear theory of the weak single bunch instability in electron and positron circular accelerators and damping rings. A nonlinear equation is derived that governs the evolution of the amplitude of unstable oscillations with account of quantum diffusion effects due to the synchrotron radiation. Numerical solutions to this equation show a large variety of nonlinear regimes dependin...

In this paper we study the time-dependent Ginzburg–Landau equation of the Schrödinger type in two dimensions. The initial conditions are chosen to describe several well-separated vortices. Our task is to understand the vortex structure of the corresponding solutions as well as corrections due to radiation. To this end we develop the nonlinear adiabatic theory. Using the methods of effective act...

A collective coordinate approach is applied toanalyze the effect of an ifsignal on the radiation emitted from a long Josephson junction. This system shows a variety of interesting nonlinear phenomena including chaos and hysteresis. Consideringthe excited localized nonlinear oscillation as an effective breather mode, we derive a nonlinear equation for the collective variable of the breather and ...

The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrödinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha(3) (alpha(3) is the coefficient in the third derivative term) and vanish at alpha(3)-->0. The most essential, at small alpha(3), is a q...

We report simultaneous generation of multiple conical second-harmonic waves in a two-dimensional nonlinear photonic structure when illuminated by two overlapping noncollinear fundamental beams. We show that this phenomenon is caused by the nonlinear Čerenkov radiation emitted due to the interaction of photons from each constituent fundamental beam as well as the virtual one propagating along th...

A nonlinear optical plasmonic core-shell nanocavity is demonstrated as an efficient, subwavelength coherent light source through second-harmonic generation. The nonlinear optical plasmonic nanocavity incorporates a noncentrosymmetric medium, which utilizes the entire mode volume for even-order nonlinear optical processes. In previous plasmonic nanocavities, enhancement of such processes was onl...

Experiments and numerical simulations are used to study non-phasematched single-mode third harmonic generation occurring simultaneously with fs pulse spectral broadening in highly nonlinear fibre. Pump pulses around 100 fs at 1560 nm injected into sub-5 cm lengths of commerciallyavailable highly nonlinear fibre are observed to undergo spectral broadening spanning over 700 nm at the −30 dB level...