Three-Dimensional Coherent Optical Waves Localized on Trochoidal Parametric Surfaces

Lu, Ting-Hua; Lin, Yu-Ting; Chen, Yung-Fu; Huang, Kai–Feng

doi:10.1103/physrevlett.101.233901

Cited by 32 publications

(13 citation statements)

References 31 publications

(20 reference statements)

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“…Three-dimensional SWs have been studied in unreactive optical, mechanical, or acoustic media [21,[25][26][27], but observations in chemical systems are lacking. The SWs reported here in the BZ-AOT reaction and those seen in physical systems have similar features, including the temporal dynamics of the antinodes and their spatial symmetry, i.e., stripes or square arrangements of spots.…”

mentioning

confidence: 99%

Two- and three-dimensional standing waves in a reaction-diffusion system

2012

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We observe standing waves of chemical concentration in thin layers [quasi-two-dimensional (2D)] and capillaries [three-dimensional (3D)] containing the aqueous Belousov-Zhabotinsky reaction in a reverse microemulsion stabilized by the ionic surfactant sodium bis-2-ethylhexyl sulfosuccinate (AOT) and with cyclo-octane as the continuous phase. The 3D structures are oscillatory lamellae or square-packed cylinders at high and low volume fractions, respectively, of aqueous droplets. These patterns correspond to oscillatory labyrinthine stripes and square-packed spots in the 2D configuration. Computer simulations, as well as observations in E. coli, give qualitative agreement with the observed patterns and suggest that, in contrast to Turing patterns, the structures are sensitive to the size and shape of the system.

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mentioning

confidence: 99%

Two- and three-dimensional standing waves in a reaction-diffusion system

2012

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“…Summarily, for an SU(2) wave-packet Φ M n0 Ω=P/Q under a proper control of TA, the meshy structure shows clear dark holes with number of M − 1, which reveals a topological charge of M in each partial dark region; the classical lattice shows clear bright spots at side row with number of n 0 + 1, which reveals a topological charge of n 0 in each partial dark region. Finally, as an expectation, we note that this method can be further referred to measure more kinds of others complex SU(2) wave-packets such as Trochoidal wave-packets [26,29], Lissajous wave-packets [30], hyperboloid polarized wave-packets [31,32], multi-axis vortices [33,34], and symmetry-breaking SU(2) wave-packets [34]. We note that it is tolerable that there might be ±1 error in holes counting process due to the experimental error.…”

Section: Detecting the Center And Partial Oam Of An Su(2) Wave-pamentioning

confidence: 86%

Truncated triangular diffraction lattices and orbital-angular-momentum detection of vortex SU(2) geometric modes

Shen¹,

Fu²,

Gong³

2018

Opt. Express

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We for the first time report the truncated diffraction with a triangular aperture of the SU(2) geometric modes and propose a method to detect the complicated orbital angular momentum (OAM) of an SU(2) wave-packet, to the best of our knowledge. As a special vortex beam, a nonplanar SU(2) mode carrying special intensity and OAM distributions brings exotic patterns in truncated diffraction lattice. A meshy structure is unveiled therein by adjusting the illuminated aperture in vicinity of the partial OAM regions, which can be elaborately used to evaluate the partial topological charge and OAM of an SU(2) wave-packet by counting the dark holes in the mesh. Moreover, through controlling the size and position of the aperture at the center region, the truncated triangular lattice can be close to the classical spot-array lattice for measuring the center OAM. These effects being fully validated by theoretical simulations greatly extend the versatility of topological structures detection of special beams.

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“…On the other hand, it is well known that Hermite-Gaussian modes can be one-to-one transformed into Laguerre-Gaussian modes by use of a π/2-cylindrical-lens mode converter. With this conversion, Lissajous structured beams have been successfully transformed into so-called trochoidal structured beams that possess optical orbital angular momentum (OAM) [6][7][8]. Numerous researches on OAM of light have been exploited in a variety of applications, such as trapping [9,10] and rotating [11] of microscopic particles in hydrodynamics and biology, controlling the chirality of twisted metal nanostructures [12,13], quantum communication [14,15], and spiral interferometry [16].…”

Section: Introductionmentioning

confidence: 99%

Power scale-up and propagation evolution of structured laser beams concentrated on 3D Lissajous parametric surfaces

et al. 2014

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We systematically explore the power scale-up and propagation evolution of Lissajous structured beams in a lowly Nd-doped YVO 4 laser with the off-axis pumping scheme. We experimentally found that the average output power can be up to 1.0 W for the output transmission in the range of 1.8-10% at an incident pump power of 6.2 W. It is also found that when the output transmission is greater than 5%, the spatial coherence is considerably reduced to lead to a feature of broken Lissajous figures in transverse patterns. Moreover, transverse patterns varying with propagation direction are remarkably measured to manifest the 3D characteristics of Lissajous structured beams. We also employ the formula of coherent states to make a comparison with experimental observations and to reveal the transverse momentum density varying with propagation direction.

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Three-Dimensional Coherent Optical Waves Localized on Trochoidal Parametric Surfaces

Cited by 32 publications

References 31 publications

Two- and three-dimensional standing waves in a reaction-diffusion system

Two- and three-dimensional standing waves in a reaction-diffusion system

Truncated triangular diffraction lattices and orbital-angular-momentum detection of vortex SU(2) geometric modes

Power scale-up and propagation evolution of structured laser beams concentrated on 3D Lissajous parametric surfaces

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