OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 26 — Dec. 20, 2010
  • pp: 27205–27216

The Polarizing Sagnac Interferometer: a tool for light orbital angular momentum sorting and spin-orbit photon processing

S. Slussarenko, V. D’Ambrosio, B. Piccirillo, L. Marrucci, and E. Santamato  »View Author Affiliations

Optics Express, Vol. 18, Issue 26, pp. 27205-27216 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (962 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this paper we show that an optical setup based on a polarizing Sagnac interferometer combined with a Dove prism can be used as a convenient general-purpose tool for the generation, detection and sorting of spin-orbit states of light. This device can work both in the classical and in the quantum single-photon regime, provides higher sorting efficiency and extinction ratio than usual hologram-fiber combinations, and shows much higher stability and ease of alignment than Mach-Zehnder interferometer setups. To demonstrate the full potential of this setup, we also report some demonstrative experiments of several possible applications of this setup.

© 2010 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(050.4865) Diffraction and gratings : Optical vortices
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: August 2, 2010
Revised Manuscript: September 9, 2010
Manuscript Accepted: October 7, 2010
Published: December 10, 2010

S. Slussarenko, V. D'Ambrosio, B. Piccirillo, L. Marrucci, and E. Santamato, "The Polarizing Sagnac Interferometer: a tool for light orbital angular momentum sorting and spin-orbit photon processing," Opt. Express 18, 27205-27216 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. J. Padgett, and J. P. Lesso, "Dove prisms and polarized light," J. Mod. Opt. 46, 175-179 (1999).
  2. G. P. I. Moreno, and M. Strojnik, "Polarization transforming properties of dove prisms," Opt. Commun. 220, 257-268 (2003). [CrossRef]
  3. I. Moreno, "Jones matrix for image-rotation prisms," Appl. Opt. 43, 3373-3381 (2004). [CrossRef] [PubMed]
  4. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992). [CrossRef] [PubMed]
  5. L. Allen, S. M. Barnett, and M. J. Padgett, eds., Optical angular momentum (Institute of Physics Publishing, Bristol, 2003). [CrossRef]
  6. G. Molina-Terriza, J. P. Torres, and L. Torner, "Twisted photons," Nat. Phys. 3, 305-310 (2007). [CrossRef]
  7. S. Franke-Arnold, L. Allen, and M. Padgett, "Advances in optical angular momentum," Laser Photon. Rev. 2, 299-313 (2008). [CrossRef]
  8. A. V. Sergienko, Quantum Communications and Cryptography (Taylor & Francis Group, 2006).
  9. G. Molina-Terriza, J. P. Torres, and L. Torner, "Management of the angular momentum of light: Preparation of photons in multidimensional vector states of angular momentum," Phys. Rev. Lett. 88, 013601 (2002). [CrossRef] [PubMed]
  10. G. Molina-Terriza, A. Vaziri, J. Rehacek, Z. Hradil, and A. Zeilinger, "Triggered qutrits for quantum communication protocols," Phys. Rev. Lett. 92, 167903 (2004). [CrossRef] [PubMed]
  11. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pasko, S. M. Barnett, and S. Franke-Arnold, "Free-space information transfer using light beams carrying orbital angular momentum," Opt. Express 12, 5448-5456 (2004). [CrossRef] [PubMed]
  12. D. Kaszlikowski, P. Gnacinski, M. Zukowski, W. Miklaszewski, and A. Zeilinger, "Violations of local realism by two entangled n-dimensional systems are stronger than for two qubits," Phys. Rev. Lett. 85, 4418-4421 (2000). [CrossRef] [PubMed]
  13. V. Karimipour, A. Bahraminasab, and S. Bagherinezhad, "Quantum key distribution for d-level systems with generalized bell states," Phys. Rev. A 65, 042320 (2002). [CrossRef]
  14. N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, "Security of quantum key distribution using d-level systems," Phys. Rev. Lett. 88, 127902 (2002). [CrossRef] [PubMed]
  15. B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, "Simplifying quantum logic using higher-dimensional hilbert spaces," Nat. Phys. 5, 134-140 (2009). [CrossRef]
  16. T. Vértesi, S. Pironio, and N. Brunner, "Closing the detection loophole in bell experiments using qudits," Phys. Rev. Lett. 104, 060401 (2010). [CrossRef] [PubMed]
  17. This is strictly true for paraxial beams only.
  18. E. Nagali, L. Sansoni, F. Sciarrino, F. D. Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, "Optimal quantum cloning of orbital angular momentum photon qubits through hong-ou-mandel coalescence," Nat. Photonics 3, 720-723 (2009). [CrossRef]
  19. E. Nagali, F. Sciarrino, F. D. Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, "Quantum information transfer from spin to orbital angular momentum of photons," Phys. Rev. Lett. 103, 013601 (2009). [CrossRef] [PubMed]
  20. E. Nagali, F. Sciarrino, F. D. Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, "Polarization control of single photon quantum orbital angular momentum states," Opt. Express 17, 18745-18759 (2009). [CrossRef]
  21. E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, "Experimental generation and characterization of single-photon hybrid ququarts based on polarization and orbital angular momentum encoding," Phys. Rev. A 81, 052317 (2010). [CrossRef]
  22. E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, "Experimental optimal cloning of four-dimensional quantum states of photons," Phys. Rev. Lett. 105, 073602 (2010). [CrossRef] [PubMed]
  23. V. Y. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, ""Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990). [PubMed]
  24. J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, "Measuring the orbital angular momentum of a single photon," Phys. Rev. Lett. 88, 257901 (2002). [CrossRef] [PubMed]
  25. J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, "Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon," Phys. Rev. Lett. 92, 013601 (2004). [CrossRef] [PubMed]
  26. M. J. Padgett, and L. Allen, "Orbital angular momentum exchange in cylindrical-lens mode converters," J. Opt. B Quantum Semiclassical Opt. 4, S17-S19 (2002). [CrossRef]
  27. L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, 163905 (2006). [CrossRef] [PubMed]
  28. L. Marrucci, C. Manzo, and D. Paparo, "Pancharatnam-Berry phase optical elements for wavefront shaping in the visible domain: switchable helical modes generation," Appl. Phys. Lett. 88, 221102 (2006). [CrossRef]
  29. Suitable waveplates can be introduced to compensate the polarization change introduced by real Dove prism, but this is often unnecessary because the polarization change is very small [1-3].
  30. E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, "Polarization-controlled evolution of light transverse modes and associated pancharatnam geometric phase in orbital angular momentum," Phys. Rev. A 81, 053813 (2010). [CrossRef]
  31. Examples are the diagonal, antidiagonal, left-circular, right-circular polarizations.
  32. M. Frede, R. Wilhelm, M. Brendel, C. Fallnich, F. Seifert, B. Willke, and K. Danzmann, "High power fundamental mode Nd:YAG laser with efficient birefringence compensation," Opt. Express 12, 3581-3589 (2004). [CrossRef] [PubMed]
  33. E. A. Khazanov, O. V. Kulagin, S. Yoshida, D. B. Tanner, and D. H. Reitze, "Investigation of self-induced depolarization of laser radiation in terbium gallium garnet," IEEE J. Quantum Electron. 35, 1116-1122 (1999). [CrossRef]
  34. N. F. Andreev, O. V. Palashov, A. K. Potemkin, D. H. Reitze, A. M. Sergeev, and E. A. Khazanov, "A 45-db faraday isolator for 100-w average radiation power," Quantum Electron. 30, 1107-1108 (2000). [CrossRef]
  35. If the pure OAM eigenstates |ℓ〉are described by Laguerre-Gaussian modes, then the |hℓ〉 and |vℓ〉 states correspond to Hermite-Gaussian modes.
  36. M. Fiorentino, and F. N. Wong, "Deterministic controlled-not gate for single-photon two-qubit quantum logic," Phys. Rev. Lett. 93, 070502 (2004). [CrossRef] [PubMed]
  37. L. Hardy, "Non locality for two particles without inequalities for almost all entangled states," Phys. Rev. Lett. 71, 1665-1668 (1993). [CrossRef] [PubMed]
  38. E. Karimi, B. Piccirillo, L. Marrucci, and E. Santamato, "Light propagation in a birefringent plate with topological charge," Opt. Lett. 34, 1225-1227 (2009). [CrossRef] [PubMed]
  39. N. González, G. Molina-Terriza, and J. P. Torres, "How a dove prism transforms the orbital angular momentum of a light beam," Opt. Express 14, 9093-9102 (2006). [CrossRef] [PubMed]
  40. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, "Measurement of qu-bit," Phys. Rev. A 64, 052312 (2001). [CrossRef]
  41. M. J. Padgett, and J. Courtial, "Poincaré-sphere equivalent for light beams containing orbital angular momentum," Opt. Lett. 24, 430-432 (1999). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited