Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum

Yoshihiko Arita, Michael Mazilu, Mingzhou Chen, Tom Vettenburg, Juan M. Aunõn, Ewan M. Wright, Kishan Dholakia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We demonstrate the transfer of orbital angular momentum to optically levitated microparticles in vacuum [1]. We prepare two-dimensional and three-dimensional optical potentials. In the former case the microparticle is placed within a Laguerre-Gaussian beam and orbits the annular beam profile with increasing angular velocity as the air drag coefficient is reduced. We explore the particle dynamics as a function of the topological charge of the levitating beam. Our results reveal that there is a fundamental limit to the orbital angular momentum that may be transferred to a trapped particle, dependent upon the beam parameters and inertial forces present. This effect was predicted theoretically [2] and can be understood considering the underlying dynamics arising from the link between the magnitude of the azimuthal index and the beam radius [3]. Whilst a Laguerre-Gaussian beam scales in size with azimuthal index ', recently we have created a "perfect" vortex beam whose radial intensity profile and radius are both independent of topological charge [4, 5]. As the Fourier transform of a perfect vortex yields a Bessel beam. Imaging a perfect vortex, with its subsequent propagation thus realises a complex three dimensional optical field. In this scenario we load individual silica microparticles into this field and observe their trajectories. The optical gradient and scattering forces interplay with the inertial and gravitational forces acting on the trapped particle, including the rotational degrees of freedom. As a result the trapped microparticle exhibits a complex three dimensional motion that includes a periodic orbital motion between the Bessel and the perfect vortex beam. We are able to determine the three dimensional optical potential in situ by tracking the particle. This first demonstration of trapping microparticles within a complex three dimensional optical potential in vacuum opens up new possibilities for fundamental studies of many-body dynamics, mesoscopic entanglement [6, 7], and optical binding [8, 9].

Original languageEnglish
Title of host publicationOptical Manipulation Conference
EditorsRyuji Morita, Takashige Omatsu
PublisherSPIE
ISBN (Electronic)9781510610057
DOIs
Publication statusPublished - 2017 Jan 1
EventOptical Manipulation Conference 2017 - Yokohama, Japan
Duration: 2017 Apr 192017 Apr 21

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10252
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptical Manipulation Conference 2017
CountryJapan
CityYokohama
Period17/4/1917/4/21

Fingerprint

Angular momentum
microparticles
Angular Momentum
Vacuum
Vortex flow
angular momentum
orbitals
vacuum
Gaussian beams
Vortex
Three-dimensional
Gaussian Beam
vortices
Drag coefficient
Optical Binding
Angular velocity
trapped particles
Radius
Charge
Silicon Dioxide

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Arita, Y., Mazilu, M., Chen, M., Vettenburg, T., Aunõn, J. M., Wright, E. M., & Dholakia, K. (2017). Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum. In R. Morita, & T. Omatsu (Eds.), Optical Manipulation Conference [102520V] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10252). SPIE. https://doi.org/10.1117/12.2275309
Arita, Yoshihiko ; Mazilu, Michael ; Chen, Mingzhou ; Vettenburg, Tom ; Aunõn, Juan M. ; Wright, Ewan M. ; Dholakia, Kishan. / Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum. Optical Manipulation Conference. editor / Ryuji Morita ; Takashige Omatsu. SPIE, 2017. (Proceedings of SPIE - The International Society for Optical Engineering).
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abstract = "We demonstrate the transfer of orbital angular momentum to optically levitated microparticles in vacuum [1]. We prepare two-dimensional and three-dimensional optical potentials. In the former case the microparticle is placed within a Laguerre-Gaussian beam and orbits the annular beam profile with increasing angular velocity as the air drag coefficient is reduced. We explore the particle dynamics as a function of the topological charge of the levitating beam. Our results reveal that there is a fundamental limit to the orbital angular momentum that may be transferred to a trapped particle, dependent upon the beam parameters and inertial forces present. This effect was predicted theoretically [2] and can be understood considering the underlying dynamics arising from the link between the magnitude of the azimuthal index and the beam radius [3]. Whilst a Laguerre-Gaussian beam scales in size with azimuthal index ', recently we have created a {"}perfect{"} vortex beam whose radial intensity profile and radius are both independent of topological charge [4, 5]. As the Fourier transform of a perfect vortex yields a Bessel beam. Imaging a perfect vortex, with its subsequent propagation thus realises a complex three dimensional optical field. In this scenario we load individual silica microparticles into this field and observe their trajectories. The optical gradient and scattering forces interplay with the inertial and gravitational forces acting on the trapped particle, including the rotational degrees of freedom. As a result the trapped microparticle exhibits a complex three dimensional motion that includes a periodic orbital motion between the Bessel and the perfect vortex beam. We are able to determine the three dimensional optical potential in situ by tracking the particle. This first demonstration of trapping microparticles within a complex three dimensional optical potential in vacuum opens up new possibilities for fundamental studies of many-body dynamics, mesoscopic entanglement [6, 7], and optical binding [8, 9].",
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Arita, Y, Mazilu, M, Chen, M, Vettenburg, T, Aunõn, JM, Wright, EM & Dholakia, K 2017, Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum. in R Morita & T Omatsu (eds), Optical Manipulation Conference., 102520V, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10252, SPIE, Optical Manipulation Conference 2017, Yokohama, Japan, 17/4/19. https://doi.org/10.1117/12.2275309

Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum. / Arita, Yoshihiko; Mazilu, Michael; Chen, Mingzhou; Vettenburg, Tom; Aunõn, Juan M.; Wright, Ewan M.; Dholakia, Kishan.

Optical Manipulation Conference. ed. / Ryuji Morita; Takashige Omatsu. SPIE, 2017. 102520V (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10252).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - We demonstrate the transfer of orbital angular momentum to optically levitated microparticles in vacuum [1]. We prepare two-dimensional and three-dimensional optical potentials. In the former case the microparticle is placed within a Laguerre-Gaussian beam and orbits the annular beam profile with increasing angular velocity as the air drag coefficient is reduced. We explore the particle dynamics as a function of the topological charge of the levitating beam. Our results reveal that there is a fundamental limit to the orbital angular momentum that may be transferred to a trapped particle, dependent upon the beam parameters and inertial forces present. This effect was predicted theoretically [2] and can be understood considering the underlying dynamics arising from the link between the magnitude of the azimuthal index and the beam radius [3]. Whilst a Laguerre-Gaussian beam scales in size with azimuthal index ', recently we have created a "perfect" vortex beam whose radial intensity profile and radius are both independent of topological charge [4, 5]. As the Fourier transform of a perfect vortex yields a Bessel beam. Imaging a perfect vortex, with its subsequent propagation thus realises a complex three dimensional optical field. In this scenario we load individual silica microparticles into this field and observe their trajectories. The optical gradient and scattering forces interplay with the inertial and gravitational forces acting on the trapped particle, including the rotational degrees of freedom. As a result the trapped microparticle exhibits a complex three dimensional motion that includes a periodic orbital motion between the Bessel and the perfect vortex beam. We are able to determine the three dimensional optical potential in situ by tracking the particle. This first demonstration of trapping microparticles within a complex three dimensional optical potential in vacuum opens up new possibilities for fundamental studies of many-body dynamics, mesoscopic entanglement [6, 7], and optical binding [8, 9].

AB - We demonstrate the transfer of orbital angular momentum to optically levitated microparticles in vacuum [1]. We prepare two-dimensional and three-dimensional optical potentials. In the former case the microparticle is placed within a Laguerre-Gaussian beam and orbits the annular beam profile with increasing angular velocity as the air drag coefficient is reduced. We explore the particle dynamics as a function of the topological charge of the levitating beam. Our results reveal that there is a fundamental limit to the orbital angular momentum that may be transferred to a trapped particle, dependent upon the beam parameters and inertial forces present. This effect was predicted theoretically [2] and can be understood considering the underlying dynamics arising from the link between the magnitude of the azimuthal index and the beam radius [3]. Whilst a Laguerre-Gaussian beam scales in size with azimuthal index ', recently we have created a "perfect" vortex beam whose radial intensity profile and radius are both independent of topological charge [4, 5]. As the Fourier transform of a perfect vortex yields a Bessel beam. Imaging a perfect vortex, with its subsequent propagation thus realises a complex three dimensional optical field. In this scenario we load individual silica microparticles into this field and observe their trajectories. The optical gradient and scattering forces interplay with the inertial and gravitational forces acting on the trapped particle, including the rotational degrees of freedom. As a result the trapped microparticle exhibits a complex three dimensional motion that includes a periodic orbital motion between the Bessel and the perfect vortex beam. We are able to determine the three dimensional optical potential in situ by tracking the particle. This first demonstration of trapping microparticles within a complex three dimensional optical potential in vacuum opens up new possibilities for fundamental studies of many-body dynamics, mesoscopic entanglement [6, 7], and optical binding [8, 9].

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Arita Y, Mazilu M, Chen M, Vettenburg T, Aunõn JM, Wright EM et al. Dynamics of optically levitated microparticles in vacuum placed in 2D and 3D optical potentials possessing orbital angular momentum. In Morita R, Omatsu T, editors, Optical Manipulation Conference. SPIE. 2017. 102520V. (Proceedings of SPIE - The International Society for Optical Engineering). https://doi.org/10.1117/12.2275309