(44-5) 04 * << * >> * Russian * English * Content * All Issues

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

 PDF, 995 kB

DOI: 10.18287/2412-6179-CO-688

Pages: 707-711.

Full text of article: Russian language.

Abstract:
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.

Keywords:
Poynting vector, energy backflow, gradient index lens, cylindrical vector beam, optical vortex.

Citation:
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.

Acknowledgements:
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”).

References:
  1. Makowski M, Shimobaba T, Ito T. Increased depth of focus in random-phase-free holographic projection. Chinese Opt Lett 2016; 14(12): 120901. DOI: 10.3788/COL201614.120901.
  2. Wackenhut F, Zobiak B, Meixner A, Failla A. Tuning the fields focused by a high NA lens using spirally polarized beams (Invited Paper) Chin. Opt. Lett., 2017; 15(3): 030013.
  3. Liang H, Lin Q, Wang Y, Sun Q, Li J. High NA silicon metalens at visible wavelengths. Conference on Lasers and Electro-Optics, OSA Technical Digest (online) 2018: FM3J.3. DOI: 10.1364/CLEO_QELS.2018.FM3J.3.
  4. Wan X, Menon R. High-NA Chromatic-aberration-corrected Diffractive Lens for Broadband Focusing. In Imaging and Applied Optics 2017 (3D, AIO, COSI, IS, MATH, pcAOP), OSA Technical Digest (online) 2017: IW3E.4. DOI: 10.1364/ISA.2017.IW3E.4.
  5. Grosjean, T, Gauthier I. Longitudinally polarized electric and magnetic optical nano-needles of ultra high lengths. Opt Commun 2013; 294: 333-337.
  6. Wu Z, Zhang K, Zhang S, Jin Q, Wen Z, Wang L, Dai L, Zhang Z, Chen H, Liang G, Liu Y, Chen G. Optimization-free approach for generating sub-diffraction quasi-non-diffracting beams. Opt Express 2018; 26(13): 16585.
  7. Guan J, Lin J, Chen C, Ma Y, Tan J, Jin P. Transversely polarized sub-diffraction optical needle with ultra-long depth of focus. Opt Commun 2017; 404: 118-123.
  8. Lalithambigai K, Suresh P, Ravi V, Prabakaran K, Jaroszewicz Z, Rajesh K, Anbarasan P, Pillai T. Generation of sub wavelength super-long dark channel using high NA lens axicon. Opt Lett 2012; 37: 999-1001.
  9. Beversluis M, Bryant G, Stranick S. Effects of inhomogeneous fields in superresolving structured-illumination microscopy. J Opt Soc Am A 2008; 25: 1371-1377.
  10. Metzger M, Konrad A, Skandary S, Ashraf I, Meixner A, Brecht M. Resolution enhancement for low-temperature scanning microscopy by cryo-immersion. Opt Express 2016; 24: 13023-13032.
  11. Merenda F, Grossenbacher M, Jeney S, Forró L, Salathé R. Three-dimensional force measurements in optical tweezers formed with high-NA micromirrors. Opt Lett 2009; 34: 1063-1065.
  12. Novotny L, Hecht B. Principles of nano-optics. Cam-bridge: Cambridge University Press; 2006.
  13. Sukhov S, Dogariu A. On the concept of “tractor beams.” Opt Lett 2010; 35(22): 3847-3849.
  14. Kotlyar VV, Nalimov AG, Stafeev SS, O’Faolain L. Single metalens for generating polarization and phase singularities leading to a reverse flow of energy. J Opt 2019; 21(5): 055004. DOI: 10.1088/2040-8986/ab14c8.
  15. Kotlyar VV, Stafeev SS, Kovalev AA. Reverse and toroidal flux of light fields with both phase and polarization higher-order singularities in the sharp focus area. Opt Express 2019 10; 27(12): 16689-16702. DOI: 10.1364/OE.27.016689.
  16. Stafeev SS, Kozlova ES, Nalimov AG. Focusing of second-order cylindrical vector beam by gradient index Mikaelian lens. Computer Optics 2020; 44(1): 29-33. DOI: 10.18287/2412-6179-CO-633.
  17. Kotlyar VV, Kovalev AA, Nalimov AG, Stafeev SS. High resolution through graded-index microoptics. Adv Opt Technol 2012; 2012: 647165. DOI: 10.1155/2012/647165.

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: ko@smr.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20