Abstract

The generation of light beams carrying orbital angular momentum (OAM) has been greatly advanced with the emergence of the recently reported integrated optical vortex emitters. Generally, optical vortices emitted by these devices possess cylindrically symmetric states of polarization and spiral phase fronts, and they can be defined as cylindrical vector vortices (CVVs). Using the radiation of angularly arranged dipoles to model the CVVs, these beams as hybrid modes of two circularly polarized scalar vortices are theoretically demonstrated to own well-defined total angular momentum. Moreover, the effect of spin–orbit interactions of angular momentum is identified in the CVVs when the size of the emitting structure varies. This effect results in the diminishing spin component of angular momentum and purer OAM states at large structure radii.

© 2014 Optical Society of America

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2014

W. Nasalski, Appl. Phys. B 115, 155 (2014).
[CrossRef]

2013

2012

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

2010

S. M. Barnett, J. Mod. Opt. 57, 1339 (2010).
[CrossRef]

2002

2000

J. H. Crichton and P. L. Marston, Electron. J. Diff. Eqns. Conf. 04, 37 (2000).

1998

M. V. Berry, Proc. SPIE 3487, 6 (1998).
[CrossRef]

1994

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

S. van Enk and G. Nienhuis, Europhys. Lett. 25, 497 (1994).
[CrossRef]

1992

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

1956

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Abramowitz, M.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965).

Allen, L.

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

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

Barnett, S. M.

S. M. Barnett, J. Mod. Opt. 57, 1339 (2010).
[CrossRef]

S. M. Barnett, J. Opt. B 4, S7 (2002).
[CrossRef]

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

Beijersbergen, M.

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

Belyi, V. N.

V. N. Belyi, N. A. Khilo, S. N. Kurilkina, and N. S. Kazak, J. Opt. 15, 044018 (2013).
[CrossRef]

Berry, M. V.

M. V. Berry, Proc. SPIE 3487, 6 (1998).
[CrossRef]

Biener, G.

Bomzon, Z.

Buhl, L.

N. K. Fontaine, C. R. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference, OSA Technical DigestLos Angeles, California, March4–8, 2012 (Optical Society of America, 2012), paper OTu1l.2.

Cai, X.

J. Zhu, X. Cai, Y. Chen, and S. Yu, Opt. Lett. 38, 1343 (2013).
[CrossRef]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Chen, Y.

Crichton, J. H.

J. H. Crichton and P. L. Marston, Electron. J. Diff. Eqns. Conf. 04, 37 (2000).

Doerr, C. R.

N. K. Fontaine, C. R. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference, OSA Technical DigestLos Angeles, California, March4–8, 2012 (Optical Society of America, 2012), paper OTu1l.2.

Fontaine, N. K.

N. K. Fontaine, C. R. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference, OSA Technical DigestLos Angeles, California, March4–8, 2012 (Optical Society of America, 2012), paper OTu1l.2.

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Academic, 2006).

Hasman, E.

Johnson-Morris, B.

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Kazak, N. S.

V. N. Belyi, N. A. Khilo, S. N. Kurilkina, and N. S. Kazak, J. Opt. 15, 044018 (2013).
[CrossRef]

Khilo, N. A.

V. N. Belyi, N. A. Khilo, S. N. Kurilkina, and N. S. Kazak, J. Opt. 15, 044018 (2013).
[CrossRef]

Kliener, V.

Kurilkina, S. N.

V. N. Belyi, N. A. Khilo, S. N. Kurilkina, and N. S. Kazak, J. Opt. 15, 044018 (2013).
[CrossRef]

Li, S.

Marston, P. L.

J. H. Crichton and P. L. Marston, Electron. J. Diff. Eqns. Conf. 04, 37 (2000).

Nasalski, W.

W. Nasalski, Appl. Phys. B 115, 155 (2014).
[CrossRef]

W. Nasalski, Opt. Lett. 38, 809 (2013).
[CrossRef]

Nienhuis, G.

S. van Enk and G. Nienhuis, Europhys. Lett. 25, 497 (1994).
[CrossRef]

O’Brien, J. L.

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Pancharatnam, S.

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Academic, 2006).

Sorel, M.

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Spreeuw, R.

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

Stegun, I. A.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965).

Strain, M. J.

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Thompson, M. G.

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

van Enk, S.

S. van Enk and G. Nienhuis, Europhys. Lett. 25, 497 (1994).
[CrossRef]

Wang, J.

Z. Zhao, J. Wang, S. Li, and A. E. Willner, Opt. Lett. 38, 932 (2013).
[CrossRef]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Willner, A. E.

Woerdman, J.

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

Yu, S.

J. Zhu, X. Cai, Y. Chen, and S. Yu, Opt. Lett. 38, 1343 (2013).
[CrossRef]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Zhao, Z.

Zhu, J.

J. Zhu, X. Cai, Y. Chen, and S. Yu, Opt. Lett. 38, 1343 (2013).
[CrossRef]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Appl. Phys. B

W. Nasalski, Appl. Phys. B 115, 155 (2014).
[CrossRef]

Electron. J. Diff. Eqns. Conf.

J. H. Crichton and P. L. Marston, Electron. J. Diff. Eqns. Conf. 04, 37 (2000).

Europhys. Lett.

S. van Enk and G. Nienhuis, Europhys. Lett. 25, 497 (1994).
[CrossRef]

J. Mod. Opt.

S. M. Barnett, J. Mod. Opt. 57, 1339 (2010).
[CrossRef]

J. Opt.

V. N. Belyi, N. A. Khilo, S. N. Kurilkina, and N. S. Kazak, J. Opt. 15, 044018 (2013).
[CrossRef]

J. Opt. B

S. M. Barnett, J. Opt. B 4, S7 (2002).
[CrossRef]

Opt. Commun.

S. M. Barnett and L. Allen, Opt. Commun. 110, 670 (1994).
[CrossRef]

Opt. Lett.

Phys. Rev. A

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

Proc. Indian Acad. Sci. A

S. Pancharatnam, Proc. Indian Acad. Sci. A 44, 247 (1956).

Proc. SPIE

M. V. Berry, Proc. SPIE 3487, 6 (1998).
[CrossRef]

Science

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, and S. Yu, Science 338, 363 (2012).
[CrossRef]

Other

N. K. Fontaine, C. R. Doerr, and L. Buhl, “Efficient multiplexing and demultiplexing of free-space orbital angular momentum using photonic integrated circuits,” in Optical Fiber Communication Conference, OSA Technical DigestLos Angeles, California, March4–8, 2012 (Optical Society of America, 2012), paper OTu1l.2.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Academic, 2006).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965).

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