Formation of the massif of hollow beams for sedimentation and positioning of microparticles
A.P. Porfirev, R.V. Skidanov

Full text of article: Russian language.

Abstract:
The method of calculation of diffraction optical elements for formation of systems of hollow light beams is described. Experiments on sedimentation from a water suspension of microparticles by arrays of hollow beams for process of their positioning are presented.

Key words:
hollow light beams, Bessel beams, binary diffraction optical elements, sedimentation of microparticles, transparent microparticles.

References:

  1. Ashkin, A. Observation of a single-beam gradient force optical trap for dielectric particles / A. Ashkin, J.M. Dziedzic, J.E. Bjorkholm, S. Chu // Opt. Lett. – 1986. – Vol. 11, N 5. – P.288-290.
  2. Skidanov, R.V. Self-reproducing laser beams and their application / R.V. Skidanov // Computer Optics. – 2006. – V. 29. – P. 4-23. – (In Russian).
  3. Lee, H.S. et al.Holographic nondiverging hollow beam / H.S. Lee [et al.] //Phys. Rev. – 1994. – V. 49. – P. 4922-4927.
  4. Wang, X. Laser cavity for generation of variable-radius rings of light / X. Wang, M.G. Littman // Opt. Lett. – 1993. – V. 18, N 10. – P. 767.
  5. Tikhonenko, V. Excitation of vortex solitions in a Gaussian beam configuration / V. Tikhonenko and N.N. Akh­mediev // Opt. Commun. – 1996. – Vol. 126. – P. 108-112.
  6. Mamaev, A.V. Vortex Evolution and Bound Pair Formation in Anisotropic Nonlinear Optical Media / A.V. Ma­maev, M. Saffman and A.A. Zozulya // Phys. Rev. Lett. – 1996. – Vol. 77. – P. 4544-4547.
  7. Herman, R.M. Production and uses of diffractionless beams / R.M. Herman, T.A. Wiggins // J. Opt. Soc. Am. – 1991. – V. 8. – P. 932-942.
  8. Liu, Zh. Generation of hollow Gaussian beams by spatial filtering / Zhengjun Liu, Haifa Zhao, Jianlong Liu, Jie Lin, Muhammad Ashfaq Ahmad and Shutian Liu // OPTICS LETTERS. – 2007. – Vol. 32, N 15, August 1. – P. 6417-6424.
  9. Liu, Zh. Generation of dark hollow beam by use of phase-only filtering / Zhengjun Liu, Haifa Zhao, Jianlong Liu, Jie Lin, Muhammad Ashfaq Ahmad and Shutian Liu // Optics and Lasers in Engineering. – 2009. – Vol. 47. – P. 1250-1253.
  10. Yin, J.P. Generation of a dark hollow beam by a small hollow fiber / J.P. Yin, H.R. Noh, K.I. Lee, K.H. Kim, Y.Z. Wang and W. Jhe // Opt. Commun. – 1997. – Vol. 138. – P. 287-296.
  11. Mishra, S.R. Generation of hollow conic beams using a metal axicon mirror / Satya Ram Mishra, Sanjiv K. Tiwari, Surjya P. Ram, Shrikant C. Mehendale // Optical Engineering. – 2007, August. – Vol. 46(8). – P. 084002.
  12. de Angelisa, M. Axially symmetric hollow beams using refractive conical lenses / M. de Angelisa, L. Caccia­puotib, G. Pierattinia, G.M. Tino// Optics and Lasers in Engineering. – 2003. – Vol. 39. – P. 283-291.
  13. Fatemi, F.K. Generation of hollow beams by using a binary spatial light modulator / Fredrik K. Fatemi and Mark Bashkansky // OPTICS LETTERS. – 2006. – Vol. 31, N 7, April 1. – P. 1-5.
  14. Khonina, S.N. The phase rotor filter / S.N. Khonina [et al.] // J. Mod. Opt. – 1992. – V. 39, N 5. – P. 1147-1154.
  15. Khonina, S.N. Trochoson / S.N. Khonina [et al.] // Opt. Commun. – 1992. – V. 91, N 3-4. – P. 158-162.
  16. Paterson, C. Higher-order Bessel waves produced by axicon-type computer-generated holograms / C. Paterson, R. Smith // Opt. Commun. – 1996. – V. 124, N 1-2. – P. 121-130.
  17. Cizmar, T. Generation of multiple Bessel beams for a biophotonics workstation / T. Cizmar, V. Kollarova, X. Tsampoula, F. Gunn-Moore, W. Sibbett, Z. Bouchal, and K. Dholakia // Optics Express. – 2008. – V. 16, Issue 18. – P. 14024-14035.
  18. Woerdemann, M. Optical assembly of microparticles into highly ordered structures using Ince–Gaussian beams / M. Woerdemann, C. Alpmann and Cornelia Denz // Applied physics letters. – 2011. – V. 98. – P. 111101.
  19. Kotlyar, V.V. Calculation of phase formers of non-diffracting images and a set of concentric rings / V.V. Kot­lyar, S.N. Khonina, V.A. Soifer // Optik. – 1996. – V. 102, N 2. – P. 45-50.
  20. Kotlyar, V.V. An algorithm for the generation of laser beams with longitudinal periodicity: rotating images / V.V. Kotlyar, S.N. Khonina, V.A. Soifer // Journal of Modern Optics. – 1997. – Vol. 44. – P. 1409-1416.
  21. Khonina, S.N. Generating a couple of rotating nondiffarcting beams using a binary-phase DOE / S.N. Khonina [et al.] // Optik. – 1999. – Vol. 110, N 3. – P. 137-144.
  22. Porfirev, A.P. Formation of the massif of the light “bottles”, based on use of superposition of Bessel beams / A.P. Porfirev, R.V. Skidanov // Computer Optics. – 2012. – Vol. 36, N 1. – P. 80-90. – (In Russian).
    © 2009, IPSI RAS
    Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: ko@smr.ru; Phones: +7 (846 2) 332-56-22, Fax: +7 (846 2) 332-56-20