• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2017, Vol. 62, N 2, p.112-117
https://doi.org/10.15407/ujpe62.02.0112    Paper

Plutenko D.O.1,2, Vasnetsov M.V.1

1 Institute of Physics, Nat. Acad. of Sci. of Ukraine
(46, Prosp. Nauky, Kyiv 03028, Ukraine)
2 Physical Engineering Teaching Research Center of Nat. Acad. of Sci. of Ukraine
(36, Academician Vernadsky Prosp., Kyiv 03680, Ukraine; e-mail: dmplutenko@gmail.com)

Symmetry in a Spherical-Particle Light Scattering and a Phase Shift Induced by a Particle Translation

Section: Optics, Lasers, and Quantum Electronics
Original Author's Text: English

Abstract:  Difraction of a linearly polarized plane wave and two counterpropagating orthogonally polarized plane waves by a spherical particle is considered. The infuence of the particle translation on the far-feld complex amplitude of the scattered wave is discussed. The possibility is shown to select symmetric directions of observation, in which the phase shift of a scattered wave depends the only on particle coordinate. All conclusions are generic as based on a symmetry only. The results can be useful for a new direct-measurement particle position detector engineering with high sensitivity and speed of response.

Key words:  Mie theory, light scattering, symmetries, particle position detector.


  1. E.U. Condon, G.H. Shortley. The Theory of Atomic Spectra (Cambridge Univ. Press, 1951) [ISBN-13: 978-0521092098, ISBN-10: 0521092094].
  2. P. Michler. Single Quantum Dots: Fundamentals, Applications, and New Concepts, Topics in Applied Physics (Springer, 2003) [ISBN: 978-3-540-39180-7].
  3. C.F. Bohren, D.R. Hufman. Absorption and Scattering of Light by Small Particles (Wiley-VCH, 1998) [ISBN-13: 978-0471293408, ISBN-10: 0471293407].
  4. G. Gouesbet, G. Gr’ehan. Generalized Lorenz–Mie Theories (Springer, 2011).
  5. J.A. Lock, G. Gouesbet. Generalized Lorenz––Mie theory and applications. J. Quant. Spectr. Radiat. Transfer 110, 800 (2009).
  6. T. Wriedt. Mie theory: a review. The Mie theory. Basics and applications. W. Hergert, T. Wolfram (eds.) (Springer, 2012), p. 53.
  7. A. Heifetz, S.-C. Kong, A.V. Sahakian, A. Tafove, V. Backman. Photonic nanojets. J. Comput. Theor. Nanosci. 6, 1979 (2009).
  8. A.D. Kiselev, D.O. Plutenko. Mie scattering of Laguerre–Gaussian beams: Photonic nanojets and near-feld optical vortices. Phys. Rev. A 89, 043803 (2014).
  9. A.M. Shakhov, A.A. Astafev, D.O. Plutenko, O.M. Sarkisov, A.I. Shushin, V.A. Nadtochenko. Femtosecond optical trap-assisted nanopatterning through microspheres by a single Ti:sapphire oscillator. J. Phys. Chem. C 119, 12562 (2015).
  10. P. Ferrand, J. Wenger, A. Devilez, M. Pianta, B. Stout, N. Bonod, E. Popov, H. Rigneault. Direct imaging of photonic nanojets. Opt. Express 16, 6930 (2008).
  11. M.-S.Kim, T. Scharf, S.M¨uhlig, C.Rockstuhl, H.P.Herzig. Engineering photonic nanojets. Opt. Express 19, 10206 (2011).
  12. A.D. Kiselev, D.O. Plutenko. Optical trapping by Laguer-re–Gaussian beams: Far-feld matching, equilibria, and dynamics. Phys. Rev. A 94, 013804 (2016).
  13. A.D. Kiselev, D.O. Plutenko. Mie scattering of Laguerre–Gaussian beams: Photonic nanojets and near-feld optical vortices. Phys. Rev. A 89, 043803 (2014).
  14. A. Kiselev, D. Plutenko. Light scattering of Laguerre–Gaussian beams: near-feld structures and symmetries. Nanosystems: Physics, Chemistry, Mathematics 7, 349 (2016).
  15. M. Mishchenko, L. Travis, A. Lacis. Scattering, Absorption, and Emission of Light by Small Particles (Cambridge Univ. Press, 2002) [ISBN 9780521782524].
  16. J.P. Barton. Electromagnetic feld calculations for a sphere illuminated by a higher-order Gaussian beam. II. Far-feld scattering. Appl. Opt. 37, 3339 (1998).
  17. V.G. Denisenko, A. Minovich, A.S. Desyatnikov, W. Krolikowski, M.S. Soskin, Y.S. Kivshar. Mapping phases of singular scalar light felds. Opt. Lett. 33, 89 (2008).
  18. G. Lai, T. Yatagai. Generalized phase-shifting interferometry. J. Opt. Soc. Am. A 8, 822 (1991).
  19. K.C. Neuman, S.M. Block. Optical trapping. Rev. Sci. Instrum. 75, 2787 (2004).