Abstract

Optical trapping and manipulating of micron-sized particles have attracted enormous interests due to the potential applications in biotechnology and nanoscience. In this work, we investigate numerically and theoretically the radiation forces acting on a Rayleigh dielectric particle produced by beams generated by Gaussian mirror resonator (GMR) in the Rayleigh scattering regime. The results show that the focused beams generated by GMR can be used to trap and manipulate the particles with both high and low index of refractive near the focus point. The influences of optical parameters of the beams generated by GMR on the radiation forces are analyzed in detail. Furthermore, the conditions for trapping stability are also discussed in this paper.

Highlights

  • Optical trapping and manipulating of micron-sized particles have attracted enormous interests in optical tweezers because of the advantages of being noncontact and noninvasive since the pioneering work by Ashkin and his coworkers who first successfully captured a dielectric sphere by using a single laser beam[1]

  • The beams generated by Gaussian mirror resonator (GMR) can be decomposed into a linear combination of the lowest-order Gaussian modes (TEM00) with different parameters[38]

  • The results show that beams generated by GMR can be used to trap and manipulate simultaneously the particles with both high and low index of refractive nearby the focus point of the lens system

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Summary

Field distribution of a focused beam generated by GMR

The optical field distribution of a beam generated by GMR at the input plane (z = 0) can be expressed as[38]. Where E0 represents the amplitude of the beam, r is the radial coordinate, R0 is the wave-front curvature of the incident beam, the parameter K is called the on-axis (or peak) reflectivity of this mirror and k = 2π/λ is the wave www.nature.com/scientificreports/. Number, β is a parameter that is given by w0/wc, wc is the mirror spot size at which the reflectance is reduced to 1/e2 of its peak value, and w0 is the beam waist. The electric field of the beam passing through a paraxial optical ABCD system without aperture can be calculated by the Collins formula, which takes the form as follows[39]. The abbreviation of ABCD is a 2-by-2 matrix associated with an optical element which can be used for describing the element’s effect on a laser beam, and A, B, C, D are the transfer matrix elements of the paraxial optical system

Cqm Aqm
Em s f
Radiation forces of the focused beams generated by GMR
Discussion on trapping stability
Conclusions
Additional Information
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