Abstract

We present a tunable mode filter for spatially multiplexed laser beams carrying orbital angular momentum (OAM). The filter comprises an optical geometric transformation-based OAM mode sorter and a spatial light modulator (SLM). The programmable SLM can selectively control the passing/blocking of each input OAM beam. We experimentally demonstrate tunable filtering of one or multiple OAM modes from four multiplexed input OAM modes with vortex charge of =9, 4, +4, and +9. The measured output power suppression ratio of the propagated modes to the blocked modes exceeds 14.5 dB.

© 2014 Optical Society of America

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References

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  1. A. Yao and M. Padgett, Adv. Opt. Photon. 3, 161 (2011).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  4. P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
    [CrossRef]
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    [CrossRef]
  6. J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
    [CrossRef]
  7. N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
    [CrossRef]
  8. J. D. Love and N. Riesen, Opt. Lett. 37, 3990 (2012).
    [CrossRef]
  9. G. Berkhout, M. Lavery, J. Courtial, M. Beijersbergen, and M. J. Padgett, Phys. Rev. Lett. 105, 153601 (2010).
    [CrossRef]
  10. M. Lavery, D. J. Robertson, G. C. G. Berkhout, G. n. D. Love, M. J. Padgett, and J. Courtial, Opt. Express 20, 2110 (2012).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2013 (5)

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

D. A. B. Miller, Opt. Express 21, 20220 (2013).
[CrossRef]

2012 (3)

M. Lavery, D. J. Robertson, G. C. G. Berkhout, G. n. D. Love, M. J. Padgett, and J. Courtial, Opt. Express 20, 2110 (2012).
[CrossRef]

J. D. Love and N. Riesen, Opt. Lett. 37, 3990 (2012).
[CrossRef]

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

2011 (1)

2010 (1)

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

2005 (1)

2004 (1)

1992 (1)

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

1983 (1)

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

1974 (1)

Ahmed, N.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Allen, L.

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

Barnett, S.

Beijersbergen, M.

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

Beijersbergen, M. W.

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

Berkhout, G.

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

Berkhout, G. C. G.

Boffi, P.

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

Boyd, R. W.

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

Bozinovic, N.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Bryngdahl, O.

Courtial, J.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

M. Lavery, D. J. Robertson, G. C. G. Berkhout, G. n. D. Love, M. J. Padgett, and J. Courtial, Opt. Express 20, 2110 (2012).
[CrossRef]

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

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

Dolinar, S.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Erkmen, B. I.

Fazal, I.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Franke-Arnold, S.

Gatto, A.

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

Gibson, G.

Guha, S.

Huang, H.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Komatsu, S.

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

Kristensen, P.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Lavery, M.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

M. Lavery, D. J. Robertson, G. C. G. Berkhout, G. n. D. Love, M. J. Padgett, and J. Courtial, Opt. Express 20, 2110 (2012).
[CrossRef]

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

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Love, G. n. D.

Love, J. D.

Malik, M.

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

Martelli, P.

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

Martinelli, M.

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

Miller, D. A. B.

Mirhosseini, M.

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

Ohzu, H.

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

Padgett, M.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

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

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

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Padgett, M. J.

M. Lavery, D. J. Robertson, G. C. G. Berkhout, G. n. D. Love, M. J. Padgett, and J. Courtial, Opt. Express 20, 2110 (2012).
[CrossRef]

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

Pas’ko, V.

Ramachandran, S.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Ren, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Riesen, N.

Robertson, D.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

Robertson, D. J.

Saito, Y.

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

Shapiro, J. H.

Shi, Z.

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

Sponselli, A.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[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]

Steinhoff, N.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

Tur, M.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Tyler, G.

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

Vasnetsov, M.

Wang, J.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Willner, A.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Willner, A. E.

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Woerdman, J. P.

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

Xie, G.

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Yan, Y.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Yang, J.

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Yao, A.

Yue, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

Adv. Opt. Photon. (1)

J. Opt. Netw. (1)

J. Opt. Soc. Am. (1)

Nat. Commun. (1)

M. Mirhosseini, M. Malik, Z. Shi, and R. W. Boyd, Nat. Commun. 4, 2781 (2013).
[CrossRef]

Nat. Photonics (1)

J. Wang, J. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

New J. Phys. (1)

M. Lavery, D. Robertson, A. Sponselli, J. Courtial, N. Steinhoff, G. Tyler, A. Willner, and M. Padgett, New J. Phys. 15, 013024 (2013).
[CrossRef]

Opt. Commun. (1)

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

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. A (1)

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

Phys. Rev. Lett. (1)

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

Proc. SPIE (1)

P. Boffi, P. Martelli, A. Gatto, and M. Martinelli, Proc. SPIE 8647, 864705 (2013).
[CrossRef]

Science (1)

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, Science 340, 1545 (2013).
[CrossRef]

Other (1)

H. Huang, Y. Ren, G. Xie, Y. Yan, Y. Yue, N. Ahmed, M. Lavery, M. Padgett, S. Dolinar, and A. E. Willner, in CLEO: Applications and Technology (Optical Society of America, 2013), paper JTu4A.89.

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Figures (8)

Fig. 1.
Fig. 1.

Concept of a tunable OAM mode filter. In analogy with WDM, an OAM filter transmits or blocks OAM beam(s) of choice from multiple spatially multiplexed OAM beams.

Fig. 2.
Fig. 2.

Principle of the OAM mode filter. (a) A log-polar geometrical transformation transforms an OAM beam to a rectangular-shaped plane wave and vice versa. (b) Multiplexed OAM beams are mapped to different positions at the focal plane of the convex lens (CL) after passing through the mode sorter. (c) The reflected beams (after filtering) are converted back to ring-shapes while backpropagating through the mode sorter.

Fig. 3.
Fig. 3.

Schematic overview of the OAM filter setup. SLM, spatial light modulator. BS, nonpolarization beam splitter.

Fig. 4.
Fig. 4.

Simulated beam profiles at each position of the setup. (a), (b), (c), and (d) correspond to ⓐ, ⓑ, ⓒ, and ⓓ in Fig. 3, respectively. (a) The intensity (left) and phase front (right) of the input beam. (b) “ring” is unfolded to a rectangular shape after the mode transformation. (c) Rectangular-shaped beam is focused. (d) Intensity (left) and phase (right) of the beam at the filter output.

Fig. 5.
Fig. 5.

Observed intensities and interferograms of both the input and the output beams of the OAM filter in the experiment. Only one OAM beam is sent to the filter each time. The filter is set to pass all the modes.

Fig. 6.
Fig. 6.

(a) Simulated wavefront correlation coefficient between the input and output beams with value varying from 20 to +20. (b) Simulated wavefront correlation between the input (=+4 and +9, respectively) and output beam as a function of the reflector (mirror array or SLM) position on the beam propagating axis (0 is the focal plane position).

Fig. 7.
Fig. 7.

(a) Input of the OAM filter, including OAM beams with =±4 and ±9. (b) Intensity distribution after the first mode sorter. (c) The output of the OAM filter without blocking any mode. (d) The intensity distribution after the second mode sorter.

Fig. 8.
Fig. 8.

Experimental results of the tunable OAM mode filtering. The grid areas in the left column correspond to the regions where we applied the phase grating to block the light. The middle column shows the filter output analyzed by the second mode sorter. The right column shows the normalized power spectrum of the filter output. (a1)–(a3) All modes pass. (b1)–(b3) Block =9. (c1)–(c3) Block =4. (d1)–(d3) Block =9 and =+9. (e1)–(e3) =4 pass. (f1)–(f3) =+4 pass.

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