Nonlinear interfaces: intrinsically nonparaxial regimes and effects

Nonlinear Helmholtz wave refraction & Goos-Hänchen shifts in nonparaxial optics: angles and interfaces, solitons and Snell’s law

The interaction of self-localized waves with an abrupt interface is a problem of fundamental importance in many branches of physics, engineering, and applied mathematics. Waveguide optics, for instance, is dominated in an essential way by such considerations. There, the full complexity of electromagnetic propagation is conveniently reduced to an equation of the nonlinear Schrödinger (NLS) class...

Nonparaxial equation for linear and nonlinear optical propagation.

The formalism of coupled-mode theory, specialized to the continuum of radiation modes, allows us to extend the standard parabolic wave equation to include nonparaxial terms and vectorial effects, and, in particular, to generalize the nonlinear Schrödinger equation that describes propagation in the presence of an intensity-dependent refractive index.

Nonparaxial equation for linear and nonlinear optical propagation: errata.

Generation of linear and nonlinear nonparaxial accelerating beams.

We study linear and nonlinear self-accelerating beams propagating along circular trajectories beyond the paraxial approximation. Such nonparaxial accelerating beams are exact solutions of the Helmholtz equation, preserving their shapes during propagation even under nonlinearity. We generate experimentally and observe directly these large-angle bending beams in colloidal suspensions of polystyre...

Nonlinear theory of nonparaxial laser pulse propagation in plasma channels

Nonparaxial propagation of ultrashort, high-power laser pulses in plasma channels is examined. In the adiabatic limit, pulse energy conservation, nonlinear group velocity, damped betatron oscillations, self-steepening, self-phase modulation, and shock formation are analyzed. In the nonadiabatic limit, the coupling of forward Raman scattering (FRS) and the self-modulation instability (SMI) is an...