Abstract

We present an optical setup for generating a sequence of light pulses in which the orbital angular momentum (OAM) degree of freedom is correlated with the temporal one. The setup is based on a single q plate within a ring optical resonator. By this approach, we demonstrate the generation of a train of pulses carrying increasing values of OAM, or, alternatively, of a controlled temporal sequence of pulses having prescribed OAM superposition states. Finally, we exhibit an “OAM-to-time conversion” apparatus that divides different input OAM states into different time bins. The latter application provides a simple approach to digital spiral spectroscopy of pulsed light.

© 2012 Optical Society of America

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  1. S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
    [Crossref]
  2. A. M. Yao and M. J. Padgett, Adv. Opt. Photon. 3, 161 (2011).
    [Crossref]
  3. A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
    [Crossref]
  4. S. S. R. Oemrawsing, J. A. W. van Houwelingen, E. R. Eliel, J. P. Woerdman, E. J. K. Verstegen, J. G. Kloosterboer, and G. W.’t Hooft, Appl. Opt. 43, 688 (2004).
    [Crossref]
  5. J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
    [Crossref]
  6. G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
    [Crossref]
  7. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [Crossref]
  8. L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
    [Crossref]
  9. L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
    [Crossref]
  10. E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
    [Crossref]
  11. E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
    [Crossref]
  12. B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
    [Crossref]
  13. E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
    [Crossref]
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    [Crossref]
  15. S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Opt. Express 13, 689 (2005).
    [Crossref]
  16. L. Torner, J. Torres, and S. Carrasco, Opt. Express 13, 873 (2005).
    [Crossref]

2011 (2)

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

A. M. Yao and M. J. Padgett, Adv. Opt. Photon. 3, 161 (2011).
[Crossref]

2010 (3)

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

2009 (3)

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

2008 (1)

S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
[Crossref]

2006 (2)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
[Crossref]

2005 (2)

2004 (1)

2002 (1)

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

2001 (1)

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Allen, L.

S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
[Crossref]

Barnett, S. M.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

Beijersbergen, M. W.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

Berkhout, G. C. G.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

Bernet, S.

Carrasco, S.

Courtial, J.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

D’Ambrosio, V.

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

De Martini, F.

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

Eliel, E. R.

Franke-Arnold, S.

S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
[Crossref]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

Fürhapter, S.

Giovannini, D.

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

Hooft, G. W.’t

Jesacher, A.

Karimi, E.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

Kloosterboer, J. G.

Lavery, M. P. J.

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

Leach, J.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

Mair, A.

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
[Crossref]

Marrucci, L.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

Nagali, E.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

Oemrawsing, S. S. R.

Padgett, M. J.

A. M. Yao and M. J. Padgett, Adv. Opt. Photon. 3, 161 (2011).
[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
[Crossref]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
[Crossref]

Piccirillo, B.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

Ritsch-Marte, M.

Sansoni, L.

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

Santamato, E.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

Sciarrino, F.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
[Crossref]

Slussarenko, S.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

Torner, L.

Torres, J.

van Houwelingen, J. A. W.

Vaziri, A.

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Verstegen, E. J. K.

Welhs, G.

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Woerdman, J. P.

Yao, A. M.

Zeilinger, A.

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Adv. Opt. Photon. (1)

Appl. Opt. (1)

Appl. Phys. Lett. (3)

E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 94, 231124 (2009).
[Crossref]

B. Piccirillo, V. D’Ambrosio, S. Slussarenko, L. Marrucci, and E. Santamato, Appl. Phys. Lett. 97, 241104 (2010).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Appl. Phys. Lett. 88, 221102 (2006).
[Crossref]

J. Opt. (1)

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[Crossref]

Laser Photon. Rev. (1)

S. Franke-Arnold, L. Allen, and M. J. Padgett, Laser Photon. Rev. 2, 299 (2008).
[Crossref]

Nat. Photon. (1)

E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photon. 3, 720 (2009).
[Crossref]

Nature (1)

A. Mair, A. Vaziri, G. Welhs, and A. Zeilinger, Nature 412, 313 (2001).
[Crossref]

Opt. Express (3)

Phys. Rev. Lett. (4)

E. Nagali, D. Giovannini, L. Marrucci, S. Slussarenko, E. Santamato, and F. Sciarrino, Phys. Rev. Lett. 105, 073602 (2010).
[Crossref]

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
[Crossref]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[Crossref]

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Figures (2)

Fig. 1.
Fig. 1.

Schematic of our setup. PBS, polarizing beam splitter; H1, half-wave plate (HWP); Q1 and Q2, quarter-wave plates; M, mirror; f1, lens. In addition to the main ring cavity setup, an SLM followed by detection in a single-mode fiber have been used to verify the OAM content of output pulses for the OAM sequence generation experiments [as in Figs. 2(a) and (b)]. In the OAM-to-time conversion experiment, we moved the SLM at the input of the ring cavity, to generate a given input OAM, while in the output the single-mode fiber detector was used for selecting the vanishing OAM output [as in Fig. 2(c)]. The inset shows a typical time sequence of pulses obtained at the output.

Fig. 2.
Fig. 2.

Time traces detected in our experiments. The top row of (a)–(c) shows pulse sequences detected at the exit of the ring cavity when no OAM filtering is applied. Lower panels, column (a), generation of a sequence of pulses carrying increasing OAM eigenstates =2,0,2,. The individual pulses detected at different times after diffraction on the SLM with the displayed hologram patterns and single-mode optical fiber detection, used for OAM selection. Lower panels, column (b), generation of a sequence of pulses with superposition states of the following OAM values: (2,2),(4,0,4),. The detection is as in column (a), and, in this case, different shown hologram patterns measuring the various OAM eigenstates included in the same superposition return the same pulse timing. Lower panels, column (c), OAM-to-time conversion of the input pulse. The individual pulses detected after selecting only zero OAM at the output are shown for different values of the input OAM.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

|L,|R,+2q,|R,|L,2q,
|ψ1=α2q|2q+α2q|+2q,|ψ2=α4q|4q+α0|0+α4q|+4q,|ψ3=α6q|6q+α2q|2q+α2q|+2q+α6q|+6q,.

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