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Energy flux of a vortex field focused using a secant 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
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In this paper we simulated the focusing of left circular polarized beam with a second order phase vortex and a second-order cylindrical vector beam by a gradient index Mikaelian lens. It was shown numerically, that there is an area with a negative Poynting vector projection on Z axis, that can be called an area with backward energy flow. Using a cylindrical hole in the output surface of the lens and optimizing it one can obtain a negative flow, which will be situated in the maximum intensity region, unlike to previous papers, in which such backward energy flow regions were situated in a shadow area. Thereby, this lens will work as an “optical magnet”, it will attract Rayleigh particles (with diameter about 1/20 of the wavelength) to its surface.
Poynting vector, energy backflow, gradient index lens, cylindrical vector beam, optical vortex.
Nalimov AG. Energy flux of a vortex field focused using a secant gradient lens. Computer Optics 2020; 44(5): 707-711. DOI: 10.18287/2412-6179-CO-688.
The work was partly funded the Russian Science Foundation under grant # 17-19-01186 (in parts "Second-order phase vortex"), # 18-19-00595 (in part “Second order cylindrical vector beam”) and by the RF Ministry of Science and Higher Education within a state contract with the "Crystallography and Photonics" Research Center of the RAS under agreement 007-ГЗ/Ч3363/26 (in part "Introduction", “Conclusion”).
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