How orbital angular momentum affects beam shifts in optical reflection

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 2, 2010, Pages

  Merano, M ^a   Hermosa, N ^a   Woerdman, J P ^a   Aiello, A ^b  

^a LEIDEN UNIVERSITY   (Netherlands)

^b MAX PLANCK INSTITUTE FOR THE SCIENCE OF LIGHT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BEAM SHIFT; DIELECTRIC INTERFACE; GAUSSIAN LIGHT BEAMS; MIXING MATRIX; OPTICAL REFLECTION; ORBITAL ANGULAR MOMENTUM;

ANGULAR MOMENTUM; LIGHT REFLECTION;

GAUSSIAN BEAMS;

EID: 77956328546     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.023817     Document Type: Article

References (32)

1. I. Newton, Opticks (reprinted by Dover, New York, 1952);
2. see Query 4 on p. 339.
3. F. Goos and H. Hänchen, Ann. Phys. (Leipzig) ANPYA2 0003-3804 10.1002/andp.19474360704 436, 333 (1947).
4. C. Imbert, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.5.787 5, 787 (1972).
5. F. I. Fedorov, Dokl. Akad. Nauk SSSR 105, 465 (1955).
6. M. Merano, A. Aiello, M. P. van Exter, and J. P. Woerdman, Nat. Photonics PRVDAQ 1749-4885 10.1038/nphoton.2009.75 3, 337 (2009).
7. O. Hosten and P. Kwiat, Science SCIEAS 0036-8075 10.1126/science.1152697 319, 787 (2008).
8. K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics SCIEAS 1749-4885 10.1038/nphoton.2008.229 2, 748 (2008).
9. A. Aiello and J. P. Woerdman, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.33.001437 33, 1437 (2008).
10. K. Artmann, Ann. Phys. (Leipzig) ANPYA2 0003-3804 10.1002/andp. 19484370108 2, 87 (1948).
11. K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.073903 96, 073903 (2006).
12. K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.75.066609 75, 066609 (2007).
13. D. Felbacq, A. Moreau, and R. Smaali, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.28.001633 28, 1633 (2003).
14. V-O. de Haan, J. Plomp, T. M. Rekveldt, W. H. Kraan, A. A. van Well, R. M. Dalgliesh, and S. Langridge, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.010401 104, 010401 (2010).
15. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature (London) NATUAS 0028-0836 10.1038/35085529 412, 313 (2001).
16. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.826 75, 826 (1995).
17. V. G. Fedoseyev, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(01) 01262-7 193, 9 (2001).
18. V. G. Fedoseyev, J. Phys. A OPCOB8 1751-8113 10.1088/1751-8113/41/50/ 505202 41, 505202 (2008).
19. V. Fedoseyev, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2008.12.011 282, 1247 (2009).
20. K. Y. Bliokh, I. V. Shadrivov, and Y. S. Kivshar, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.000389 34, 389 (2009).
21. H. Okuda and H. Sasada, J. Opt. Soc. A OPLEDP 1084-7529 10.1364/JOSAA.25.000881 25, 881 (2008).
22. R. Dasgupta and P. K. Gupta, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2005.07.033 257, 91 (2006).
23. Y. Fainman and J. Shamir, Appl. Opt. APOPAI 0003-6935 10.1364/AO.23.003188 23, 3188 (1984).
24. A. Aiello, C. Marquardt, and G. Leuchs, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.003160 34, 3160 (2009).
25. R. F. Gragg, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.15752 56, 1092 (1988).
26. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge University Press, Cambridge, UK, 1995).
27. Here we quantify the GH and IF shifts via the photocurrents I x / I and I y / I delivered by the quadrant detector actually used in the experiment, respectively. This furnishes the median of the beam intensity distribution. Conversely, in Ref. [19] the same displacements are quantified via the mean of the intensity distribution. The difference between these two methods leads to both the trivial prefactor N ℓ (experimentally eliminated by a detector calibration procedure) and the terms " 2 ℓ " (instead of " ℓ ") in the mixing matrix (18).
28. A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.061801 80, 061801 (R) (2009).
29. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(93)90535-D 96, 123 (1993).
30. M. Merano, A. Aiello, G. W. 't Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Opt. Express OPEXFF 1094-4087 10.1364/OE.15.015928 15, 15928 (2007).
31. °. This was done to reduce the very large intensity contrast occurring during p ↔ s modulation and thus to minimize a parasitic cross-effect on the displacement as synchronously measured by the quadrant detector.
32. N. Treps, N. Grosse, W. P. Bowen, C. Fabre, H.-A. Bachor, and P. K. Lam, Science SCIEAS 0036-8075 10.1126/science.1086489 301, 940 (2003).