Flattened multi-Gaussian light beams with an axial shadow generated through superposing Gaussian beams

Zhu, Kaicheng; Tang, Huiqin; Sun, Xingming; Wang, Xuewen; Liu, Tienan

doi:10.1016/s0030-4018(02)01417-7

Cited by 34 publications

(7 citation statements)

References 11 publications

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“…Therefore, dark hollow beams become one of the most interesting topics in optics and lasers [1][2][3]. Many beam models have been constructed to mathematically describe dark hollow laser beams [4][5][6][7]. Also, dark hollow beams can be experimentally realized by means of differently ingenious methods [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Orbital Angular Momentum Density of a Hollow Vortex Gaussian Beam

Zhou¹,

Zhou²

2014

PIER M

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Abstract-Here the hollow vortex Gaussian beam is described by the exact solution of the Maxwell equations. By means of the method of the vectorial angular spectrum, analytical expressions of the electromagnetic fields of a hollow vortex Gaussian beam propagating in free space are derived. By using the electromagnetic fields of a hollow vortex Gaussian beam beyond the paraxial approximation, one can calculate the orbital angular momentum density distribution of a hollow vortex Gaussian beam in free space. The overall transverse components of the orbital angular momentum of a hollow vortex Gaussian beam are equal to zero. Therefore, the influences of the topological charge, beam order, Gaussian waist size, and linearly polarized angle on the distribution of longitudinal component of the orbital angular momentum density of a hollow vortex Gaussian beam are numerically demonstrated in the reference plane. The outcome is useful to optical trapping, optical guiding, and optical manipulation using the hollow vortex Gaussian beams.

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Section: Introductionmentioning

confidence: 99%

Orbital Angular Momentum Density of a Hollow Vortex Gaussian Beam

Zhou¹,

Zhou²

2014

PIER M

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“…TEM 01 -mode doughnut beam, higher-order Bessel beams, superposition of off-axis Gaussian beams and dark hollow Gaussian beams (DHGBs) etc. have been introduced (Arlt & Dholakiya, 2000;Zhu et al, 2002;Ganic et al, 2003;Cai et al, 2003;Cai & Lin, 2004;Mei & Zhao, 2005); in particular the dark hollow Gaussian beams (DHGBs) can be expressed as superposition of a series of Laguerre Gaussian modes (Cai et al, 2003). The spatial evolution and transverse focusing of such beams in the plasma environment have been studied extensively (Sodha et al, 2009a;2009b;Misra & Mishra, 2009;Gupta et al, 2011a;2011b); these studies conclude that the hollow beams are less divergent in comparison to Gaussian beams and hence dark hollow Gaussian laser pulses (DHGPs) can be used to enhance the energy transport in the plasma.…”

Section: Introductionmentioning

confidence: 99%

Effect of electron-ion recombination on self-focusing/defocusing of a laser pulse in tunnel ionized plasmas

et al. 2013

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A formalism for investigation of the propagation characteristics of various order short duration (pico second) Gaussian/ dark hollow Gaussian laser pulse (DHGP) in a tunnel ionized plasma has been developed, which takes into account the electron-ion recombination. Utilizing the paraxial like approach, a nonlinear Schrödinger wave equation characterizing the beam spot size in space and time has been derived and solved numerically to investigate the transverse focusing (in space) and longitudinal compression (in time) of the laser pulse; the associated energy localization as the pulse advances in the plasma has also been analyzed. It is seen that in the absence of recombination the DHGP and Gaussian pulse undergo oscillatory and steady defocusing respectively. With the inclusion of recombination, the DHGP and Gaussian pulse both undergo periodic self-focusing for specific parameters. The DHGPs promise to be suitable for enhancement of energy transport inside the plasma.

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“…Recently, York et al [35] have investigated the direct acceleration of electrons in a corrugated plasma waveguide. To describe the DHBs (the beam with zero central intensity) several theoretical models [36][37][38][39] like TEM 01 mode doughnut beams, some higher-order Bessel beams, superposition of off-axis Gaussian beams and dark-hollow Gaussian beams, etc., have been introduced; a number of experimental methods [40,41] have been developed for the production of hollow laser beams. In relatively recent studies the propagation of DHBs in paraxial optical systems and turbulent atmospheres has been investigated in detail [42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Focusing of a dark hollow Gaussian electromagnetic beam in a magnetoplasma

Sodha¹,

Mishra

Misra

2009

J. Plasma Phys.

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This paper presents an analysis and subsequent discussion of the self focusing of a dark hollow Gaussian electromagnetic beam (HGB) in a magnetoplasma, considering ponderomotive and collisional nonlinearities. A paraxial-like approach, in which the relevant parameters are expanded in terms of radial distance from the maximum of the irradiance rather than that from the axis, has been adopted to analyze the propagation of the HGB. The nature of self focusing is highlighted through the critical curves as a plot of dimensionless radius versus power of the beam. The effect of the magnetic field and the nature of the nonlinearity on self focusing of various order HGBs has also been explored.

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Flattened multi-Gaussian light beams with an axial shadow generated through superposing Gaussian beams

Cited by 34 publications

References 11 publications

Orbital Angular Momentum Density of a Hollow Vortex Gaussian Beam

Orbital Angular Momentum Density of a Hollow Vortex Gaussian Beam

Effect of electron-ion recombination on self-focusing/defocusing of a laser pulse in tunnel ionized plasmas

Focusing of a dark hollow Gaussian electromagnetic beam in a magnetoplasma

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