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Optical force calculation in the ray-optics regime for beams with arbitrary complex amplitude profiles

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Abstract

In this paper, we propose an augmented ray-optics model for computation of the optical force on spherical microscopic particles due to a beam with an arbitrary complex amplitude profile. The force calculation is based on simple analytical expressions derived considering relevant beam and lens parameters. The proposed model can provide the net optical force for a beam whose intensity or amplitude as well as phase profile in the entrance pupil of the lens can be arbitrary. Accuracy of the augmented model is demonstrated by comparing numerically with the existing model and with the experimental observations considering a focused vortex beam.

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Supplementary Material (9)

NameDescription
Supplement 1       Supplement 1: A) Further explanation of experimental observations and B) More on comparison of the proposed method with other methods
Visualization 1       Video showing the ~2 micron bead following the normal Gaussian beam, moving with step size =1.2 micron and a step interval =50 ms. This video corresponds to Fig. 4(a).
Visualization 2       Video showing the ~2 micron bead loosing the trap as the normal Gaussian beam moves with step size =1.8 micron and a step interval =1100 ms. This video corresponds to Fig. 4(b).
Visualization 3       Video showing the ~2 micron bead loosing the trap as the vortex beam with topological charge =1 moves with step size =1.8 micron and a step interval =1100 ms. This video corresponds to Fig. 4(c).
Visualization 4       Video showing the ~2 micron bead following the vortex beam with topological charge =2, moving with step size =1.8 micron and a step interval =1100 ms. This video corresponds to Fig. 4(d).
Visualization 5       Video showing the ~2 micron bead following the vortex beam with topological charge =3, moving with step size =1.8 micron and a step interval =1100 ms. This video corresponds to Fig. 4(e).
Visualization 6       Video showing the ~2 micron bead following the vortex beam with topological charge =2, moving with step size =1.6 micron and a step interval =1100 ms.
Visualization 7       Video showing the ~2 micron bead loosing the trap as the normal Gaussian beam moves with step size =1.6 micron and a step interval =1100 ms.
Visualization 8       Video showing the ~2 micron bead loosing the trap as the vortex beam with topological charge =1 moves with step size =1.6 micron and a step interval =1100 ms.

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Figures (4)

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Equations (15)

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