Abstract
Distributed grating coupling of light pulses into planar waveguides, exhibiting third-order nonlinear-optical effects, is studied theoretically. The nonlinear interaction taking place between a beam that is Gaussian in time and space and one or more waveguide media with intensity-dependent refractive indexes or absorptions is analyzed, with emphasis on the different effects that result from the relative importance of two-photon absorption, dispersive index changes, and their saturation. Criteria for the evaluation of real and imaginary parts of chi-(3) by means of grating coupling are outlined.

Abstract

Abstract
We report the experimental evaluation of the intensity-dependent index of refraction of a new class of third order nonlinear materials, side chain polymers containing 4-dialkylamino-4'-nitro-stilbene and 4-dialkylamino-4'-nitro-diphenylbutadiene as side groups. The measurements, based on nonlinear grating coupling into planar waveguides with 30 ps pulses at 1.064-mu-m, showed large electronic nonresonant n2 Kerr coefficients.

Abstract

Abstract
A fuzzy AC load flow model is presented in which fuzzy data are used to obtain possibility distributions of voltages, active and reactive flows and losses, currents, and generated powers. These distributions are compared with the ones obtained through a Monte Carlo based simulation in order to evaluate the errors inherent to the fuzzy AC load flow.

Abstract
The value of the signal in one point of the variable is presented as the component of the vector in the basis vector associated with that point. The decomposition of the signal in its components is called the Dirac transform. The change of the convolution into a multiplication, made by the Fourier transform, is a change of bases in the linear space where the signals are defined.