Structured light entities, chaos and nonlocal maps

Abstract

Spatial chaos as a phenomenon of ultimate complexity requires the efficient numerical algorithms. For this purpose iterative low-dimensional maps have demonstrated high efficiency. Natural generalization of Feigenbaum and Ikeda maps may include convolution integrals with kernel in a form of Green function of a relevant linear physical system. It is shown that such iterative nonlocal nonlinear maps are equivalent to ubiquitous class of nonlinear partial differential equations of Ginzburg-Landau type. With a Green functions relevant to generic optical resonators these nonlocal maps emulate the basic spatiotemporal phenomena as spatial solitons, vortex eigenmodes breathing via relaxation oscillations mediated by noise, vortex-vortex and vortex-antivortex lattices with periodic location of vortex cores. The smooth multimode noise addition facilitates the selection of stable entities and elimination of numerical artifacts.

Highly efficient Yb:YAG microchip laser for direct generation of radially polarized vector vortices

“…Radially polarized laser beam is one of distinguished CV beams and has unique tightly focusing property [2,3]. Radially polarized beams have been widely used in optical trapping [4][5][6][7], optical tweezers [8], material processing [9][10][11][12], nonlinear dynamic [13], formation of vortex arrays [14], and so on. Various methods such as using photonic crystal grating [15], Brewster angle prism [16] have been proposed to generate radially polarized beams in solid state lasers.…”