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2010 | 8 | 6 | 947-960
Tytuł artykułu

A simple analytical model of the angular momentum transformation in strongly focused light beams

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A ray-optics model is proposed to describe the vector beam transformation in a strongly focusing optical system. In contrast to usual approaches based on the focused field distribution near the focal plane, we use the beam pattern formed immediately after the exit aperture. In this cross section, details of the output field distribution are of minor physical interest but proper allowance is made for transformation of the beam polarization state. This enables the spin and orbital angular momentum representations to be obtained, which are valid for any cross section of the transformed beam. Simple analytical results are available for a transversely homogeneous, circularly polarized incident beam confined by a circular aperture. Variations of the spin and orbital angular momenta of the output beam with change of the focusing strength are analyzed. The analytical results are in good qualitative and reasonable quantitative agreement with the results of numerical calculations performed for the Gaussian and Laguerre-Gaussian beams. The model supplies an efficient and physically transparent means for qualitative analysis of the spin-to-orbital angular momentum conversion. It can be generalized to incident beams with complex spatial and polarization structure.
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
6
Strony
947-960
Opis fizyczny
Daty
wydano
2010-12-01
online
2010-09-05
Twórcy
  • I. I. Mechnikov National University, Dvorianska 2, 65082, Odessa, Ukraine, bekshaev@onu.edu.ua
Bibliografia
  • [1] L. Allen, M. J. Padgett, M. Babiker, Prog. Optics 39, 291 (1999) http://dx.doi.org/10.1016/S0079-6638(08)70391-3[Crossref]
  • [2] M. S. Soskin, M. V. Vasnetsov, Prog. Optics 42, 219 (2001) http://dx.doi.org/10.1016/S0079-6638(01)80018-4[Crossref]
  • [3] S. Franke-Arnold, L. Allen, M. Padgett, Laser Photonics Rev. 2, 299 (2008) http://dx.doi.org/10.1002/lpor.200810007[Crossref]
  • [4] A. Bekshaev, M. Soskin, M. Vasnetsov, Paraxial Light Beams with Angular Momentum (Nova Science Publishers, New York, 2008)
  • [5] M. R. Dennis, K. O’Holleran, M. J. Padgett, Prog. Optics 53, 293 (2009) http://dx.doi.org/10.1016/S0079-6638(08)00205-9[Crossref]
  • [6] T. A. Nieminen et al., Proc. SPIE 6038, 237 (2006)
  • [7] H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.826[Crossref]
  • [8] N. B. Simpson, K. Dholakia, L. Allen, M. J. Padgett, Opt. Lett. 22, 52 (1997) http://dx.doi.org/10.1364/OL.22.000052[Crossref]
  • [9] A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002) http://dx.doi.org/10.1103/PhysRevLett.88.053601[Crossref]
  • [10] V. Garces-Chavez et al., J. Opt. A-Pure Appl. Op. 6, S235 (2004) http://dx.doi.org/10.1088/1464-4258/6/5/016[Crossref]
  • [11] J. D. Jackson, Classical Electrodynamics, 3rd Ed. (Wiley, New York, 1999)
  • [12] L. Allen, M. V. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman, Phys. Rev. A 45, 8185 (1992) http://dx.doi.org/10.1103/PhysRevA.45.8185[Crossref]
  • [13] S. M. Barnett, J. Opt. B-Quantum S. O. 4, S1 (2002) http://dx.doi.org/10.1088/1464-4266/4/2/360[Crossref]
  • [14] T. A Nieminen, A. B. Stilgoe, N. R. Heckenberg, H. Rubinsztein-Dunlop, J. Opt. A-Pure Appl. Op. 10, 115005 (2008) http://dx.doi.org/10.1088/1464-4258/10/11/115005[Crossref]
  • [15] Z. Bomzon, M. Gu, J. Shamir, Appl. Phys. Lett. 89, 241104 (2006) http://dx.doi.org/10.1063/1.2402909[Crossref]
  • [16] Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.073901[Crossref]
  • [17] P. B. Monteiro, P. A. Maia Neto, H. M. Nussenzveig, Phys. Rev. A 79, 033830 (2009) http://dx.doi.org/10.1103/PhysRevA.79.033830[Crossref]
  • [18] B. Chen, J. Pu, Appl. Opt. 48, 1288 (2009) http://dx.doi.org/10.1364/AO.48.001288[Crossref]
  • [19] Chun-Fang Li, arXiv:0901.3813v2 [WoS]
  • [20] M. V. Berry, J. Opt. A-Pure Appl. Op. 11, 094001 (2009) http://dx.doi.org/10.1088/1464-4258/11/9/094001[Crossref]
  • [21] A. Ya. Bekshaev, M. S. Soskin, Opt. Commun. 271, 332 (2007) http://dx.doi.org/10.1016/j.optcom.2006.10.057[Crossref]
  • [22] A. Bekshaev, M. Soskin, Proc. SPIE 6729, 67290G (2007) http://dx.doi.org/10.1117/12.751952
  • [23] M. V. Berry, Proc. SPIE 3487, 6 (1998) http://dx.doi.org/10.1117/12.317704[Crossref]
  • [24] E. Wolf, Proc. R. Soc. Lond. A 253, 349 (1959) http://dx.doi.org/10.1098/rspa.1959.0199[Crossref]
  • [25] B. Richards, E. Wolf, Proc. R. Soc. Lon. Ser.-A 253, 358 (1959) http://dx.doi.org/10.1098/rspa.1959.0200[Crossref]
  • [26] T. A. Nieminen, H. Rubinsztein-Dunlop, N. R. Heckenberg, J. Quant. Spectrosc. Ra. 79–80, 1005 (2003) http://dx.doi.org/10.1016/S0022-4073(02)00335-7[Crossref]
  • [27] T. A. Nieminen, G. Knoner, N. R. Heckenberg, H. Rubinsztein-Dunlop, In: M. W. Berns, K. O. Greulich (Eds.), Method. Cell Biol. 82, 207 (2007) [Crossref]
  • [28] M. Born, E. Wolf, Principles of Optics, 4th Ed. (Pergamon Press, Oxford, 1970)
  • [29] W. A. Shurkliff, Polarized Light (Harvard University Press, Cambridge, Massachusetts, 1962)
  • [30] A. Ya. Bekshaev, M. S. Soskin, M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003) http://dx.doi.org/10.1364/JOSAA.20.001635[Crossref]
  • [31] A. Ya. Bekshaev, J. Opt. A-Pure Appl. Op. 11, 094004 (2009) http://dx.doi.org/10.1088/1464-4258/11/9/094004[Crossref]
  • [32] A. Ya. Bekshaev, Proc. SPIE 6254, 56 (2006)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0011-2
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