An algorithm for designing a DOE to form optical traps of a preset configuration
R.V. Skidanov
, S.V. Ganchevskaya

 

Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

 

DOI: 10.18287/0134-2452-2015-39-2-181-186

Full text of article: Russian language.

Abstract:
We proposed an algorithm for calculating a DOE forming vortex beams with a preset distribution of minima and maxima. We discussed several versions of this algorithm. We presented the calculation of some configurations of traps to capture transparent and non-transparent micro-objects.

Keywords:
calculation of the phase function, optical trap, iterative algorithm, vortex axicon.

References:

  1. van der Horst, A. High trapping forces for high-refractive index particles trapped in dynamic arrays of counterpropagating optical tweezers / A. van der Horst, P. D. J. van Oostrum, A. Moroz, A. van Blaaderen, and M. Dogterom // Applied Optics. – 2008. – Vol. 47. – P. 3196-3202.
  2. Rodrigo, P.J. Real-time three-dimensional optical micromanipulation of multiple particles and living cells / P.J. Ro­drigo, V.R. Daria, and J. Gluckstad // Optical Letters. – 2004. – Vol. 29. – P. 2270-2272.
  3. Perch-Nielsen, I.R. Real-time interactive 3D manipulation of particles viewed in two orthogonal observation planes / I.R. Perch-Nielsen, P.J. Rodrigo, and J. Gluckstad // Optical Express. – 2005. – Vol. 13. – P. 2852-2857.
  4. Rodrigo, P.J. GPC-based optical micromanipulation in 3D real-time using a single spatial light modulator / P.J. Rodrigo, I.R. Perch-Nielsen, C.A. Alonzo, and J. Gluckstad // Optical Express. – 2006. – Vol. 14. – P. 13107-13112.
  5. Ulriksen, H.-U. Independent trapping, manipulation and characterization by an all-optical biophotonics workstation / H.-U. Ulriksen, J. Thgersen, S.R. Keiding, I.R. Perch-Ni­elsen, J.S. Dam, D.Z. Palima, H. Stapelfeldt, and J. Gluck­stad // Journal of the European Optical Society-Rapid. – 2008. – Vol. 3. – P. 08034.
  6. Skidanov, R.V. Generation of optical bottle beams array by superposition Bessel beams / R.V. Skidanov, .P. Porfirev // Computer Optics. – 2012. – Vol. 36(1). – P. 80-90. – ISSN 0134-2452.
  7. Meister, M. Novel approaches to direct search algorithms for the design of diffractive optical elements / M. Meister, R.J. Winfield // Optics Communications. – 2002. – Vol. 203. – P. 39-49.
  8. Golub, .. Focusing of coherent radiation in defined areas of space with using of computer synthesized holograms / M.A. Golub, S.V. Karpeev, A.M. Prokhorov, I.N. Sisakyan, V.A. Soifer // Technical Physics Letters. – 1981. – Vol. 7(10). – P. 618-623.
  9. Kazanskii, N.L. Correction of focuser phase function by computer-experimental methods // Computer Optics. – 1989. – Vol. 1(1). – P. 69-73.
  10. Doskolovich, L.L. Analysis of quasiperiodic and geometric optical solutions of the problem of focusing into an axial segment / L.L. Doskolovich, N.L. Kazanskiy, V.A. Soifer, A.Ye. Tza­re­go­rod­tzev // Optik. – 1995. – Vol. 101(2). – P. 37-41.
  11. Kotlyar, V.V. Diffraction calculation of focusator in a lon­gitudinal segment / V.V. Kotlyar, V.. Soifer, S.N. Kho­nina // Technical Physics Letters. – 1991. – Vol. 17(24). – P. 63-66.
  12. Gerchberg, R.W. A practical algorithm for the determination of the phase from image and diffraction plane pictures / R.W. Ger­ch­berg, W.O. Saxton // Optik. – 1972. – Vol. 35. – P. 237.
  13. Soifer, V.A. Synthesis of binary focusator in arbitrary curve in the electromagnetic approximation / V.. Soifer, N.L. Ka­zanskiy, S.I. Kharitonov // Computer Optics. – 1996. – Vol. 16. – P. 22-27. – (In Russian).
  14. Kachalov, D.G. Optimization of binary DOE for formation of the “light bottle” / D.G. Kachalov, K.. Gamazkov, V.S. Pavelyev, S.N. Khonina // Computer Optics. – 2011. – Vol. 35(1). – P. 70-76. – (In Russian).
  15. Kachalov, D.G. Optimization of binary DOE forming intensity distribution along an axial focal zone / D.G. Kachalov, V.S. Pavelyev, S.N. Khonina // Computer Optics. – 2009. – Vol. 33(4). – P. 441-445. – (In Russian).
  16. Zhou, G. Genetic local search algorithm for optimization design of diffractive optical elements / G. Zhou, Y. Chen, Z. Wang, and H. Song // Applied Optics. – 1999. – Vol. 38, Issue 20. – P. 4281-4290.
  17. Pavelyev, V.S. Stochastic approach to the optimization of the quantized diffractive optical elements / V.S. Pavelyev // News of Samara Scientific Center of RAS. – 2002. – Vol. 4(1). – P. 61-67. – (In Russian).
  18. Skidanov, R.V. Diffractive optical elements for the formation of combinations of vortex beams in the problrm manipulation of microobjects / R.V. Skidanov, S.V. Ganchev­skaya // Computer Optics. – 2014. – Vol. 38(1). – P. 65-71.
  19. Skidanov, R.V. Formation of Bessel beams by vortex axicon / R.V. Skidanov, S.V. Ganchevskaya // Computer Optics. – 2014. – Vol. 38(3). – P. 463-468.
  20. Skidanov, R.V. Manipulation of micro-objects using linear traps generated by vortex axicons / R.V. Skidanov, .P. Por­firev, S.V. Ganchevskaya // Computer Optics. – 2014. – Vol. 38(4). – P. 717-721.

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