Topological aberration of optical vortex beams: Determining dielectric interfaces by optical singularity shifts

Physical Review Letters

Volumn 109, Issue 18, 2012, Pages

  Dennis, Mark R ^a   Götte, Jörg B ^b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC POLYNOMIALS; CARRIER BEAMS; DIELECTRIC INTERFACE; HIGH-ORDER; OPTICAL BEAMS; OPTICAL VORTEX BEAM; OPTICAL VORTICES; REFLECTION MATRIX; TOTAL INTERNAL REFLECTIONS;

ABERRATIONS; POLYNOMIAL APPROXIMATION; REFRACTIVE INDEX;

VORTEX FLOW;

EID: 84868313762     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.183903     Document Type: Article

References (35)

1. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, and J.P. Woerdman, Phys. Rev. A 45, 8185 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.8185
2. G. Gibson, J. Courtial, M.J. Padgett, V. Vastnetsov, V. Pas'ko, S.M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004). OPEXFF 1094-4087 10.1364/OPEX.12.005448
3. C. Paterson, Phys. Rev. Lett. 94, 153901 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.153901 (Pubitemid 40620364)
4. B.-J. Pors, C.H. Monken, E.R. Eliel, and J.P. Woerdman, Opt. Express 19, 6671 (2011). OPEXFF 1094-4087 10.1364/OE.19.006671
5. C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photonics Rev. 5, 81 (2011). LPRAB8 1863-8880 10.1002/lpor.200900047
6. G. Foo, D.M. Palacios, and G.A. Swartzlander, Opt. Lett. 30, 3308 (2005). OPLEDP 0146-9592 10.1364/OL.30.003308 (Pubitemid 43099186)
7. E. Serabyn, D. Mawet, and R. Burruss, Nature (London) 464, 1018 (2010). NATUAS 0028-0836 10.1038/nature09007
8. J.F. Nye and M.V. Berry, Proc. R. Soc. A 336, 165 (1974). PRLAAZ 1364-5021 10.1098/rspa.1974.0012
9. M.R. Dennis, K. O'Holleran, and M.J. Padgett, Prog. Opt. 53, 293 (2009). POPTAN 0079-6638 10.1016/S0079-6638(08)00205-9
10. I. Freund, Opt. Commun. 159, 99 (1999). OPCOB8 0030-4018 10.1016/S0030-4018(98)00591-4
11. F. Goos and H. Hänchen, Ann. Phys. (Leipzig) 436, 333 (1947). ANPYA2 0003-3804 10.1002/andp.19474360704
12. F.I. Fedorov, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 105, 465 (1955).
13. C. Imbert, Phys. Rev. D 5, 787 (1972). PRVDAQ 0556-2821 10.1103/PhysRevD.5.787
14. See K.Y. Bliokh, A. Aiello, and M.A. Alonso, in The Angular Momentum of Light, edited by, D.L. Andrews, and, M.E. Babiker, (Cambridge University Press, Cambridge, England, 2012) and references therein.
15. J.D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1998), 3rd ed..
16. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, England, 1999), 7th ed..
17. M. Merano, A. Aiello, M.P. van Exter, and J.P. Woerdman, Nature Photon. 3, 337 (2009). NPAHBY 1749-4885 10.1038/nphoton.2009.75
18. H. Wolter, Z. Naturforsch. 5A, 276 (1950). ZNASEI 0932-0784
19. M.R. Dennis and J.B. Götte, New J. Phys. 14, 073013 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/7/073013
20. V. Fedoseyev, Opt. Commun. 193, 9 (2001). OPCOB8 0030-4018 10.1016/S0030-4018(01)01262-7 (Pubitemid 32543722)
21. K.Y. Bliokh and A.S. Desyatnikov, Phys. Rev. A 79, 011807 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.011807
22. M. Merano, N. Hermosa, J.P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.023817
23. J.B. Götte and M.R. Dennis, New J. Phys. 14, 073016 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/7/073016
24. K.Y. Bliokh, I.V. Shadrivov, and Y.S. Kivshar, Opt. Lett. 34, 389 (2009). OPLEDP 0146-9592 10.1364/OL.34.000389
25. K. Artmann, Ann. Phys. (Leipzig) 437, 87 (1948). ANPYA2 0003-3804 10.1002/andp.19484370108
26. An alternative, but equivalent definition of the angular shift can be found in A. Aiello and J.P. Woerdman, Opt. Lett. 33, 1437 (2008). OPLEDP 0146-9592 10.1364/OL.33.001437
27. H. Okuda and H. Sasada, Opt. Express 14, 8393 (2006). OPEXFF 1094-4087 10.1364/OE.14.008393 (Pubitemid 44331057)
28. D. McGloin and K. Dholakia, Contemp. Phys. 46, 15 (2005). CTPHAF 0010-7514 10.1080/0010751042000275259 (Pubitemid 40131807)
29. M.R. Dennis, Opt. Lett. 31, 1325 (2006). OPLEDP 0146-9592 10.1364/OL.31.001325 (Pubitemid 43901280)
30. V.F. Zernike, Physica (Amsterdam) 1, 689 (1934). PHYSAG 0031-8914 10.1016/S0031-8914(34)80259-5
31. S. Roman, The Umbral Calculus (Dover, New York, 2005).
32. M. Marden, Geometry of Polynomials (American Mathematical Society, Providence, 1966).
33. See Y. Aharonov and D. Rohrlich, Quantum Paradoxes (Wiley-VCH, New York, 2005) and references therein.
34. M. Agnew, J. Leach, M. McLaren, F.S. Roux, and R.W. Boyd, Phys. Rev. A 84, 062101 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.062101
35. W. Löffler, A. Aiello, and J.P. Woerdman, Phys. Rev. Lett. 109, 113602 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.113602