We investigate the self-trapping phenomenon in one-dimensional nonlinear waveguide arrays. discuss various approximate analytical descriptions of discrete self-trapped solutions. analyze packing, steering, and collision properties these solutions, by means a variational approach soliton perturbation theory. compare numerical results. \textcopyright{} 1996 The American Physical Society.

A theory is presented that describes the global reflection and transmission characteristics of a self-focused channel propagating at an oblique angle incidence to interface separating two or more self-focusing nonlinear dielectric media. The wave packet representing represented as equivalent particle moving in potential. dynamics described by Newton's equations motion, with asymptotic propagation paths being read off from associated phase portraits Equilibria potential, equivalently,...

It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates the PT-symmetric component of optical refractive index can modify grating band structure and hence effective coupling between forward backward waves. Starting from a classical modified massive Thirring model, solitary wave obtained closed form. The basic properties these waves their dependence on respective gain/loss profile then explored via...

We analyze a collapse mechanism of energy localization in nonlinear fiber arrays. The array is suggested as device to amplify and compress optical pulses. Pulse propagation one-dimensional arrays has features (self-focusing) dynamics. Collapse-type compression leads the all initially dispersed into few fibers. Numerical simulations demonstrate robustness mechanism.

We demonstrate that nonlinear optical fiber arrays can support stable solitonlike pulses with finite energy. The bound state we have found is localized both in time and spatial domain the direction perpendicular to pulse propagation. Numerical studies our analytical conclusions.

The theory presented in the preceding paper is extended to account for incident optical beam breakup into multiple self-focused channels and deal with reflection transmission at interfaces. Beam explained by examining decomposition of channel one medium, its soliton radiation components after it has crossed new medium. A formula derived which gives criterion number appearing as a consequence breakup. This also provides analytic expressions individual powers amount generated. An important...

We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at pure fourth-order dispersion point. Both normal anomalous group velocity regimes are analyzed, highlighting main differences from standard second-order case. In regime, single multi-peak exist stable over a much wider region parameter space. narrow bright solitons exist. Some our findings can be understood using new, to best knowledge, scenario reported here for...

We experimentally demonstrate that Townes solitons generated in a Nd:YAG crystal enable the formation of ultrafast nonlinear flying focus pulses can be exploited for fluorescence imaging. The power dependent longitudinal shift self-focusing point along crystal, accompanied by power-limiting effect caused conical-wave emission at different wavelengths, permits precise spatial calibration beam profile. Consequently, splitting and delaying an initial pump pulse or, equivalently, introducing...

We experimentally demonstrate that Townes solitons generated in a Nd:YAG crystal enable the formation of ultrafast nonlinear flying focus pulses can be exploited for fluorescence imaging. The power dependent longitudinal shift self-focusing point along crystal, accompanied by power-limiting effect caused conical-wave emission at different wavelengths, permits precise spatial calibration beam profile. Consequently, splitting and delaying an initial pump pulse or, equivalently, introducing...

An array of coupled nonlinear waveguides supports discrete soliton modes in which light is self-trapped a few guides. We obtain an analytical description these solitons and reveal that well-confined may be stably packed into the array. Power-controlled steering achieved with linearly chirped solitons.

Optical gap solitons refer to nonlinear waves propagating in optical fibers whose linear refractive index has a periodic variation. Stationary came light first 1987 [Chen and Mills, Phys. Rev. Lett. 58, 160 (1987)]; two years later, they re-emerge Christodoulides Joseph [Phys. 62, 1746 (1989)] are extended more general traveling wave form Aceves Wabnitz A 141, 37 (1989)]. But it was not until seven that the experimental demonstration [Eggleton et al., 76, 1627 (1996); J. Opt. Soc. Am. B 14,...

We show that the equivalent-particle theory provides a global picture of dynamics beams incident upon both nonlinear interfaces and waveguides. New results are presented for interface with diffusive integrating nonlinearities as well three-dimensional calculations waveguide.

Long-lived light bullets fully localized in both space and time can be generated novel photonic media such as multicore optical fiber or waveguide arrays. In this paper we present detailed theoretical analysis on the existence stability of discrete-continuous using a very generic model that occurs number applications.

Applying asymptotic methods to a previously derived system of ordinary differential equations, we present an analytical description the slow (average) dynamics self-similar breathing pulses propagating in fiber links with dispersion management. We derive averaged quantities (adiabatic invariants) that characterize stable pulse propagation. In particular, but practically important, case when compensation period is much larger than amplification distance have found analytically fixed points...

We present a linear stability analysis of two-dimensional continuous waves and one-dimensional temporal solitons in nonlinear-optical fiber arrays. Guided by this analysis, we use numerical integrations the governing equations to show that these arrays are all-optical switching devices. Light injected into N-fiber array is temporally compressed spatially localized few fibers on output.

We demonstrate that monochromatic infrared laser pulses can generate polychromatic light in noncentrosymmetric crystals simultaneously covering the ultraviolet, visible, and domains.The spatial shape of beam its energy influence this multicolor frequency conversion, unveiling complex interesting dynamics.We performed our experiments a bulk crystal periodically poled lithium niobate, working close to optimal condition for second-harmonic generation.We used an input wide enough that, at very...

We study the giant Goos-Hanchen shift obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with paraxial approximation, analysis is based numerical solution of Helmholtz equation. report existence non-standard intermittent and oscillatory regimes for shifts which can be explained in terms competition between critical coupling to surface mode reflected component soliton emission refracted component.

Abstract Coherent vortex structures are fascinating physical objects that widespread in nature: from large scale atmospheric phenomena, such as tornadoes and the Great Red Spot of Jupiter to microscopic size topological defects quantum physics optics. Unlike classical dynamics fluids, optical vortices feature new interesting properties. For instance, novel discrete can be generated photonic lattices, leading physics. In nonlinear media, treated solitons with nontrivial characteristics...

Predictions of reactive transport in the subsurface are routinely compromised by both model (structural) and parametric uncertainties. We present a set computational tools for quantifying these two types The uncertainty is resolved at molecular scale where epistemic incorporates aleatory uncertainty. continuum (Darcy) scales. use proposed approach to quantify modeling sorption neptunium through competitive ion exchange. This radionuclide major concern various high‐level waste storage...