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Galerkin Finite-Element Method for the Analysis of the Second Harmonic Generation in Wagon Wheel Fibers

The nonlinear effects of the second harmonic generation have been investigated for the propagation of light along the axis of fibers of wagon wheel cross sectional shape. Nodal finite element formulation is utilized to obtain discretized Helmholtz equations under appropriate boundary conditions. The hierarchical p-version nodal elements are used for meshing the cross section of wagon wheel fibe...

Second-harmonic generation of the nth-order Bessel beam.

We investigate the second-harmonic generation of the nth-order Bessel beam in the nonlinear medium. The analysis is based on the Khokhlov-Zabolotskaya-Kuznetsov wave equation under the second-order approximation in nonlinear acoustics. The theory indicates that for an nth-order Bessel beam, the second-harmonic beam is nearly diffraction-free in the radial direction and behaves as a Bessel beam ...

Second-harmonic generation

The goal of this experiment in nonlinear optics is to study the conversion of a (very small) fraction of laser light from its original wavelength of 980 nm (i.e. invisible to the naked eye) to its second-harmonic at a wavelength of 490 nm. This conversion takes place by mild focussing of an intense laser beam in a nonlinear birefringent crystal of BBO (= β BaBO4). You will study the physical pr...

Study of the Transition to Instability in Second-Harmonic Generation with Scale Index Method

The emergence of second-harmonic generation (SHG) is a pivotal issue to the development of nano-optical devices and interfaces. Here, we perform a classical analysis of the SHG dynamics with the aim of determining critical values of the electric field. The signals of the SHG process are nonlinear, so it seems reasonable that chaos theory can be a suitable tool to analyze their dynamics. For thi...

Harmonic Analysis Techniques for Second Order