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Physical Review A

Cavity-enhanced optical bottle beam as a mechanical amplifier

Tim Freegarde, Kishan Dholakia

Published Jul 30, 2002• 29 citations
Publisher

Abstract

We analyze the resonant cavity enhancement of a hollow ``optical bottle beam'' for the dipole-force trapping of dark-field-seeking species. We first improve upon the basic bottle beam by adding further Laguerre-Gaussian components to deepen the confining potential. Each of these components itself corresponds to a superposition of transverse cavity modes, which are then enhanced simultaneously in a confocal cavity to produce a deep optical trap needing only a modest incident power. The response of the trapping field to displacement of the cavity mirrors offers an unusual form of mechanical amplifier in which the Gouy phase shift produces an optical Vernier scale between the Laguerre-Gaussian beam components.

DOI
10.1103/physreva.66.013413

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We analyze the resonant cavity enhancement of a hollow ``optical bottle beam'' for the dipole-force trapping of dark-field-seeking species. We first improve upon the basic bottle beam by adding further Laguerre-Gaussian components to deepen the confining potential. Each of these components itself corresponds to a superposition of transverse cavity modes, which are then enhanced simultaneously in a confocal cavity to produce a deep optical trap needing only a modest incident power. The response of the trapping field to displacement of the cavity mirrors offers an unusual form of mechanical amplifier in which the Gouy phase shift produces an optical Vernier scale between the Laguerre-Gaussian beam components.
The bottle beam configuration is a light field created by the interference of a pair of Laguerre–Gauss light beams with zero orbital angular momentum. In this work we show the theoretical study of the bottle beam as well as the use of this beam for the creation of a novel atom optical dipole trap namely the bottle atom trap. In such a trap the resulting dark trapping region is three-dimensional and has a cylindrical symmetry. These promising results show that this trap is a nice candidate for trapping Bose–Einstein condensates and may serve as an optical tweezer mechanism potentially useful for trapping micron-sized dielectric particles.
We demonstrate the generation of single-beam dark toroidal optical intensity distributions, which are of interest for neutral atom storage and atom interferometry. We demonstrate experimentally and numerically optical potentials that contain a ring-shaped intensity minimum, bounded in all directions by higher intensity. We use a spatial light modulator to alter the phase of an incident laser beam, and analyze the resulting optical propagation characteristics. For small toroidal traps (< 50 &mgr;m diameter), we find an optimal superposition of Laguerre-Gaussian modes that allows the formation of single-beam toroidal traps. We generate larger toroidal bottle traps by focusing hollow beams with toroidal lenses imprinted onto the spatial light modulator.
Optical tweezers technique has aggrandized the light-matter interaction, whereby researchers have employed light forces from colloidal sciences to biomedical applications. There have been constant quests to integrate novel beams in tweezers system for myriads of novel applications. In this paper, we report optical tweezers system based on self-imaged optical bottle beams, which has some distinct advantages over other conventional beams like Gaussian, Laguerre-Gaussian and Bessel beams in few applications. A self-imaged bottle beam is obtained by superimposing two Bessel beams with varying radial wavevectors. A self-imaged bottle beam possesses three-dimensional intensity-null points along the propagation axis and by varying the radial wavevectors of the Bessel beams number of bottles; location of bottles and the dimension of the bottles can be pre-determined. Moreover, by dynamically varying the parameters of radial wavevector of interfering Bessel beams, the dynamic potential-well obtained are capable of transporting both high and low indices microparticle in conveyor-belt arrangement along the longitudinal axis. Bottle beams belongs to the family of propagation-invariant beams and hence inherent the propagation-invariance and self-reconstruction properties of Bessel beam together with three-dimensional trapping potential contrary to Bessel beam whereby the particles trapped in the central core are loosing defined in the longitudinal axis. Such bottle beams also holds promise applications in blue-detuned optical taps for the optical confinement of laser-cooled atoms in three-dimensional dark region.
A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number ℓ=±1\ell=\pm1ℓ=±1 and the same circular polarization (σ=∓1)\sigma=\mp 1)σ=∓1). Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.
A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number ℓ=±1\ell=\pm1ℓ=±1 and the same circular polarization (σ=∓1)\sigma=\mp 1)σ=∓1). Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.
Spatially structured light has opened a wide range of opportunities for enhanced imaging as well as optical manipulation and particle confinement. Here, we show that phase-coherent illumination with superpositions of radial Laguerre-Gauss (LG) beams provides improved localization for bright optical tweezer traps, with narrowed radial and axial intensity distributions. Further, the Gouy phase shifts for sums of tightly focused radial LG fields can be exploited for phase-contrast strategies at the wavelength scale. One example developed here is the suppression of interference fringes from reflection near nanodielectric surfaces, with the promise of improved cold-atom delivery and manipulation.