Abstract

We recently reported on a method for measuring orbital angular momentum (OAM) states of light based on the transformation of helically phased beams to tilted plane waves [Phys. Rev. Lett. 105, 153601 (2010) ]. Here we consider the performance of such a system for superpositions of OAM states by measuring the modal content of noninteger OAM states and beams produced by a Heaviside phase plate.

© 2011 Optical Society of America

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  1. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  2. S. Franke-Arnold, L. Allen, and M. Padgett, Laser Photon. Rev. 2, 299 (2008).
    [CrossRef]
  3. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
    [CrossRef] [PubMed]
  4. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
    [CrossRef]
  5. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
    [CrossRef]
  6. V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
    [CrossRef]
  7. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
    [CrossRef]
  8. J. Nye, Natural Focusing and Fine Structure of Light (IOP, 1999).
  9. N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).
  10. M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
    [CrossRef]
  11. G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008).
    [CrossRef] [PubMed]
  12. J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
    [CrossRef] [PubMed]
  13. S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
    [CrossRef]
  14. E. Nagali, F. Sciarrino, F. De Martini, B. Piccirillo, E. Karimi, L. Marrucci, and E. Santamato, Opt. Express 17, 18745 (2009).
    [CrossRef]
  15. J. Leach, M. Padgett, S. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
    [CrossRef] [PubMed]
  16. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
    [CrossRef] [PubMed]
  17. G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
    [CrossRef]
  18. Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
    [CrossRef]
  19. H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
    [CrossRef] [PubMed]
  20. S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, J. Opt. Soc. Am. A 21, 2089 (2004).
    [CrossRef]
  21. J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
    [CrossRef]
  22. M. Vasnetsov, V. Pas’ko, and M. Soskin, New J. Phys. 7, 46 (2005).
    [CrossRef]

2010 (3)

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

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

H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
[CrossRef] [PubMed]

2009 (1)

2008 (3)

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

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008).
[CrossRef] [PubMed]

2005 (2)

M. Vasnetsov, V. Pas’ko, and M. Soskin, New J. Phys. 7, 46 (2005).
[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

2004 (2)

2002 (1)

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

2001 (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

2000 (1)

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

1996 (1)

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

1993 (1)

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

1992 (2)

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

1983 (1)

Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
[CrossRef]

1981 (1)

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Aiello, A.

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

Allen, L.

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

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Arlt, J.

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

Baranova, N. B.

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Barnett, S.

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

Barnett, S. M.

Bazhenov, V. Y.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[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]

G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008).
[CrossRef] [PubMed]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

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]

G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008).
[CrossRef] [PubMed]

Chavez-Cerda, S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Coerwinkel, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

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. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
[CrossRef] [PubMed]

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

De Martini, F.

Dennis, M. R.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Di Lorenzo Pires, H.

H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
[CrossRef] [PubMed]

Eliel, E. R.

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, J. Opt. Soc. Am. A 21, 2089 (2004).
[CrossRef]

Florijn, H. C. B.

H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
[CrossRef] [PubMed]

Fonseca, E. J. S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Franke-Arnold, S.

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

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
[CrossRef] [PubMed]

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

Gibson, G.

Hickmann, J. M.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Karimi, E.

Khonina, S. N.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Komatsu, S.

Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
[CrossRef]

Kotlyar, V. V.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Kristensen, M.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Laakkonen, P.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

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. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

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

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Mamaev, A. V.

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Marrucci, L.

Nagali, E.

Nienhuis, G.

Nye, J.

J. Nye, Natural Focusing and Fine Structure of Light (IOP, 1999).

Oemrawsingh, S. S. R.

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, J. Opt. Soc. Am. A 21, 2089 (2004).
[CrossRef]

Ohzu, H.

Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
[CrossRef]

Padgett, M.

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

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

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

Padgett, M. 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. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
[CrossRef] [PubMed]

Pas’ko, V.

Piccirillo, B.

Pilipetsckii, N. F.

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Pors, J. B.

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

Saito, Y.

Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
[CrossRef]

Santamato, E.

Sciarrino, F.

Shkukov, V. V.

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Simpson, N.

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

Skidanov, R. V.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Soares, W. C.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Soifer, V. A.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Soskin, M.

M. Vasnetsov, V. Pas’ko, and M. Soskin, New J. Phys. 7, 46 (2005).
[CrossRef]

Soskin, M. S.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Turunen, J.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

van der Veen, H. E. L. O.

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

van Exter, M. P.

H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
[CrossRef] [PubMed]

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

Vasnetsov, M.

Vasnetsov, M. V.

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Woerdman, J. P.

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, J. Opt. Soc. Am. A 21, 2089 (2004).
[CrossRef]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Zeldovich, B. Y.

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Am. J. Phys. (1)

M. Padgett, J. Arlt, N. Simpson, and L. Allen, Am. J. Phys. 64, 77 (1996).
[CrossRef]

J. Mod. Opt. (1)

V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992).
[CrossRef]

J. Opt. Soc. Am. A (1)

JETP Lett. (1)

N. B. Baranova, B. Y. Zeldovich, A. V. Mamaev, N. F. Pilipetsckii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).

Laser Photon. Rev. (1)

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

Nature (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

New J. Phys. (2)

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

M. Vasnetsov, V. Pas’ko, and M. Soskin, New J. Phys. 7, 46 (2005).
[CrossRef]

Opt. Commun. (4)

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
[CrossRef]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Y. Saito, S. Komatsu, and H. Ohzu, Opt. Commun. 47, 8 (1983).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Opt. Express (2)

Phys. Rev. A (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

J. B. Pors, A. Aiello, S. S. R. Oemrawsingh, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Phys. Rev. A 77, 033845 (2008).
[CrossRef]

Phys. Rev. Lett. (5)

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

G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008).
[CrossRef] [PubMed]

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chavez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

H. Di Lorenzo Pires, H. C. B. Florijn, and M. P. van Exter, Phys. Rev. Lett. 104, 020505 (2010).
[CrossRef] [PubMed]

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

Other (1)

J. Nye, Natural Focusing and Fine Structure of Light (IOP, 1999).

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Figures (4)

Fig. 1
Fig. 1

Schematic overview of the setup. See text for details.

Fig. 2
Fig. 2

CCD images for an equal superposition of two modes ( m = 1 and m = 0 ) with a relative phase of (a)  ψ i = 0 and (b)  ψ i = π . Both images are scaled to the peak intensity of the image shown in (a). The color scale is inverted for clarity.

Fig. 3
Fig. 3

Summed CCD images corresponding to (a) Fig. 2a, (b) a relative phase of ψ i = π / 2 , and (c) Fig. 2b (solid curves). The dashed curves show the fitted peaks of the individual modes. (d) The measured relative phase, ψ m , as returned by the fit versus the input relative phase, ψ i , as set on SLM1.

Fig. 4
Fig. 4

Modal decomposition of a noninteger OAM state with (a)  Q = 1 , (b)  Q = 3 4 , (c)  Q = 1 2 , (d)  Q = 1 4 , (e)  Q = 0 , and (f) the beam produced by a Heaviside phase plate. Theoretical data are shown in black, experimental data in gray.

Equations (3)

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A ( ϕ ) = m λ m A m ( ϕ ) ,
λ m = 1 2 π 0 2 π e i m ϕ A ( ϕ ) d ϕ .
λ m = sinc ( ( Q m ) π ) e i ( Q m ) π ,

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