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Optical force acting on a particle in the presence of a backward energy flow near the focus of a gradient lens
A.G. Nalimov 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151,
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 1269 kB

DOI: 10.18287/2412-6179-CO-744

Pages: 871-875.

Full text of article: Russian language.

Abstract:
We show that a 70-nm dielectric nanoparticle placed on the optical axis near the surface (at a distance less than 100 nm) of a high-NA gradient microlens made of silicon, which is illuminated by a laser beam of 1.55 μm wavelength, is attracted to the lens surface with a piconewton force. The profile of the lens refractive index is described by a hyperbolic secant function. If a cut-out is made in the lens output surface, then the nanoparticle will be pulled into this cut-out, producing a kind of 'optical magnet'. If a reverse energy flow is to be generated on the optical axis near the output surface of such a gradient lens, this will lead to an absorbing dielectric nanoparticle being pulled toward the surface with a greater force than a similar non-absorbing particle. In the absence of a reverse flow, both absorbing and non-absorbing particles will be attracted to the surface with an equal force. The electromagnetic fields involved are calculated using a finite difference time domain (FDTD) method and the acting forces are calculated using a Maxwell stress tensor.

Keywords:
force, backward force, moment of force, optical tweezers, Maxwell stress tensor, rotation, gradient lens.

Citation:
Nalimov AG. Optical force acting on a particle in the presence of a backward energy flow near the focus of a gradient lens. Computer Optics 2020; 44(6): 871-875. DOI: 10.18287/2412-6179-CO-744.

Acknowledgements:
The work was partly funded by the Russian Science Foundation under grant #18-19-00595 (Sections "Incident fields with left-handed circular polarization and a phase vortex m=2" and “Circularly polarized light without a phase vortex”), the Russian Foundation for Basic Research under grant #18-29-20003 (Section “Dependence of the force on the particle size”), and the RF Ministry of Science and Higher Education within a state contract with the "Crystallography and Photonics" Research Center of the RAS (in part "Introduction", “Problem formulation”, “Conclusion”).

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