3D-vortex labyrinths in the near field of solid-state microchip laser

Abstract

The spatiotemporal vortex lattices generated in high Fresnel number solid-state microchip lasers are studied in connection with Talbot phenomenon generic to spatially periodic electromagnetic fields. The spatial layout of light field is obtained via dynamical model based on Maxwell-Bloch equations for class-B laser, discrete Fox-Lee map with relaxation of inversion and static model based on superposition of copropagating Gaussian beams. The spatial patterns observed experimentally and obtained numerically are interpreted as nonlinear superposition of vortices with helicoidal phase dislocations. The usage of vortex labyrinths and Talbot lattices as optical dipole traps for neutral atoms is considered for the wavelength of trapping radiation in the range 0.98 $\div$ 2.79 $\mu m$. The separable optical trapping potential is mounted as a sum of array of vortex lines and additional parabolic subtrap. The factorization of macroscopic wavefunction have led to analytical solution of Gross-Pitaevski equation for ground state of ensemble of quantum particles trapped in vortex labyrinth and in spatially - periodic array of Gaussian beams.Comment: 10 pages 7 figure

Chiral near-fields around chiral dolmen nanostructure

“…Chiral structures have opposite handedness with respect to their mirror images [1,2]. As a result, radiation of different handedness e.g.…”

Generation of Crystal-Structure Transverse Patterns via a Self-Frequency-Doubling Laser

“…Because the HG modes can be employed to define an infinitely dimensional discrete Hilbert space33 and SH generation is an important mechanism for realizing entangled states of lights34, this approach provides a route to investigate the entanglement involving many orthogonal quantum states. Similar to the nonlinear optical lattices which are dominated by the initial nonlinearity of the laser system and possess phase singularity and periodic structures3536, the present linear SFD patterns could also be used for the generation of periodic trapping fields due to the crystal-structure distribution of their intensity. Finally, the present method for direct generation of crystal structure patterns is based on a compact and simple design with easy control of the pattern and intensity distribution characteristics which could be applied for development of new materials and devices using the optical induction technology345.…”

Configuration of vortex-antivortex lattices at output mirror of wide-area microchip laser

“…The vortex lattices in high Fresnel number solid-state microchip lasers arising within a broad range of experimental parameters [3] were predicted theoretically in [4]. The subsequent numerical investigation [5] have shown the deep similarity of optical vortex lattices in lasers with spatial patterns that spontaneously occur in Faraday instability [6]. Trajectories of individual particles of ensemble in Faraday convection are chaotic but the averaged mass flow in Faraday square cells manifests itself as vortex lattice.…”

“…A m = δA 0 exp[i k m · r + δφ n ], (5) Numerical arrays E n ( r) (complex) and N n ( r) (real) were composed of [128,128] and [256,256] points to facilitate the usage of fast Fourier transform [15] optimized for standard Fortran compiler. In most realizations at 1 < N f < 10 the transverse field distribution E n ( r) had been almost identical to fundamental T EM 00 gaussian mode E n ( r) ∼ exp[−| r| 2 /D 2 0 ] with slightly different D 0 .…”

“…In contrast to optical speckle patterns [24] where vortex-antivortex pairs are distributed chaotically in space the lattice of whirls in wide-aperture lasers is periodic in space [ fig.5]. The far field pattern consists of four lobes whose separation is defined by wavelength λ and period p of the near field pattern [5].…”