This paper is devoted to the study of nonlinear geometric optics in Colombeau algebras of generalized functions in the case of Cauchy problems for semilinear hyperbolic systems in one space variable. Extending classical results, we establish a generalized variant of nonlinear geometric optics. As an application, a nonlinear superposition principle is obtained when distributional initial data ar...

We experimentally investigate the nonlinear reshaping of a continuous wave which leads to chirp-free and flat-top intense pulses or flaticons exhibiting strong temporal oscillations at their edges and a stable self-similar expansion upon propagation of their central region. OCIS codes: (060.4370) Nonlinear optics, fibers; (190.4380) Nonlinear optics, four-wave mixing;

Record high efficient frequency doublers in periodically poled silica fibres are demonstrated for light generation at 532 nm and 775 nm. The onset of nonlinear conductivity is shown to limit the maximum  (2) in glass. OCIS codes: (190.2620) Harmonic generation and mixing; (190.4360) Nonlinear optics, devices; (190.4370) Nonlinear optics, fibers

We construct infinitely accurate approximate solutions to systems of hyperbolic partial differential equations which model short wavelength dispersive nonlinear phenomena. The principal themes are the following. ~1! The natural framework for the study of dispersion is wavelength e solutions of systems of partial differential operators in e]. The natural e-characteristic equation and e-eikonal e...

A comprehensive theory of quasi-phase-matched (QPM) three-wave interactions in twinned plates of q3m semiconductors is developed. The 180* phase change required by QPM is studied by treating the nonlinear polarization as a bilinear form in the applied electric field and decomposing it into invariant and sign changing parts under a 2-fold rotation of an arbitrary crystal lattice. A new 3 X 3 mat...

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