Abstract

An air-core fiber imposed by torsion is investigated in this paper. We refer to this kind of fiber as twisted air-core fiber (TAF). It has been demonstrated that the eigenstates of the TAF consist of guided optical vortex waves with different propagation constants of a different effective index. With the increase of the twist rate, TAF could separate the OAM modes which are near degenerate or degenerate in the air-core fiber. The separation of OAM modes in TAF is conductive to ultralong distance propagation with low crosstalk. TAF could be considered as an ideal candidate fiber for OAM based optical communication. Moreover, we investigated the twisted air-core photonic crystal fiber (TAPCF) which can improve the relative energy distribution of the OAM modes. Compared with TAF, more energy is located in the ring shaped core, which is conductive to ultralong distance propagation. TAF and TAPCF are of potential interest for increasing channel capacity in optical telecommunications, and the result is also of interest to the photonic crystal community.

© 2016 Optical Society of America

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References

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  1. J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  12. C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
  16. X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
    [Crossref] [PubMed]
  17. E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
    [Crossref]
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    [Crossref]
  19. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
    [Crossref]
  20. C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
    [Crossref]

2015 (3)

P. Gregg, P. Kristensen, and S. Ramachandran, “Conservation of orbital angular momentum in air core optical fibers,” Optica 2(3), 2334–2536 (2015).
[Crossref]

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

J. Du and J. Wang, “High-dimensional structured light coding/decoding for free-space optical communications free of obstructions,” Opt. Lett. 40(21), 4827–4830 (2015).
[Crossref] [PubMed]

2014 (4)

2013 (3)

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

2012 (3)

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

N. Bozinovic, S. Golowich, P. Kristensen, and S. Ramachandran, “Control of orbital angular momentum of light with optical fibers,” Opt. Lett. 37(13), 2451–2453 (2012).
[Crossref] [PubMed]

2011 (2)

X. Ma, C. H. Liu, G. Chang, and A. Galvanauskas, “Angular-momentum coupled optical waves in chirally-coupled-core fibers,” Opt. Express 19(27), 26515–26528 (2011).
[Crossref] [PubMed]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

2009 (2)

S. Ramachandran, P. Kristensen, and M. F. Yan, “Generation and propagation of radially polarized beams in optical fibers,” Opt. Lett. 34(16), 2525–2527 (2009).
[Crossref] [PubMed]

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

2008 (2)

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
[Crossref]

2005 (1)

Agha, Y. O.

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

Ahmed, G.

Ahmed, N.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Alexeyev, C. N.

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
[Crossref]

Babic, F.

Barnett, S. M.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Barshak, E. V.

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

Biancalana, F.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Borshak, E. V.

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

Bozinovic, N.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

N. Bozinovic, S. Golowich, P. Kristensen, and S. Ramachandran, “Control of orbital angular momentum of light with optical fibers,” Opt. Lett. 37(13), 2451–2453 (2012).
[Crossref] [PubMed]

Brunet, C.

Chang, G.

Conti, C.

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Dimarcello, F. V.

Dolinar, S.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Du, J.

Euser, T. G.

Fadeyeva, T. A.

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

Fazal, I. M.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Fini, J. M.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

Fleming, J.

Frosz, M. H.

Galvanauskas, A.

Ghalmi, S.

Golowich, S.

Gregg, P.

P. Gregg, P. Kristensen, and S. Ramachandran, “Conservation of orbital angular momentum in air core optical fibers,” Optica 2(3), 2334–2536 (2015).
[Crossref]

Guenneau, S.

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

Huang, H.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Jiang, X.

Kang, M. S.

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Kristensen, P.

P. Gregg, P. Kristensen, and S. Ramachandran, “Conservation of orbital angular momentum in air core optical fibers,” Optica 2(3), 2334–2536 (2015).
[Crossref]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

N. Bozinovic, S. Golowich, P. Kristensen, and S. Ramachandran, “Control of orbital angular momentum of light with optical fibers,” Opt. Lett. 37(13), 2451–2453 (2012).
[Crossref] [PubMed]

S. Ramachandran, P. Kristensen, and M. F. Yan, “Generation and propagation of radially polarized beams in optical fibers,” Opt. Lett. 34(16), 2525–2527 (2009).
[Crossref] [PubMed]

Lapin, B. P.

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

LaRochelle, S.

Lee, H. W.

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Liu, C. H.

Ma, X.

Messaddeq, Y.

Monberg, E.

Nelson, L. E.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

Nicolet, A.

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

Padgett, M. J.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Ramachandran, S.

Ren, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Richardson, D. J.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

Rusch, L. A.

Russell, P. S.

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Russell, P. S. J.

X. M. Xi, G. K. L. Wong, M. H. Frosz, F. Babic, G. Ahmed, X. Jiang, T. G. Euser, and P. S. J. Russell, “Orbital-angular-momentum-preserving helical Bloch modes in twisted photonic crystal fiber,” Optica 1(3), 165–169 (2014).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Tur, M.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Ung, B.

Vaity, P.

Volyar, A. V.

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
[Crossref]

Wang, J.

J. Du and J. Wang, “High-dimensional structured light coding/decoding for free-space optical communications free of obstructions,” Opt. Lett. 40(21), 4827–4830 (2015).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Wang, L.

Weiss, T.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Willner, A. E.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Wisk, P.

Wong, G. K.

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

Wong, G. K. L.

X. M. Xi, G. K. L. Wong, M. H. Frosz, F. Babic, G. Ahmed, X. Jiang, T. G. Euser, and P. S. J. Russell, “Orbital-angular-momentum-preserving helical Bloch modes in twisted photonic crystal fiber,” Optica 1(3), 165–169 (2014).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Xi, X. M.

X. M. Xi, G. K. L. Wong, M. H. Frosz, F. Babic, G. Ahmed, X. Jiang, T. G. Euser, and P. S. J. Russell, “Orbital-angular-momentum-preserving helical Bloch modes in twisted photonic crystal fiber,” Optica 1(3), 165–169 (2014).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Yan, M. F.

Yan, Y.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Yang, J. Y.

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Yavorsky, M. A.

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
[Crossref]

Yue, Y.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

Zolla, F.

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

Compel - The international journal for computation and mathematics in electrical and electronic engineering (1)

S. Guenneau, A. Nicolet, Y. O. Agha, and F. Zolla, “Geometrical transformations and equivalent materials in computational electromagnetism,” Compel - The international journal for computation and mathematics in electrical and electronic engineering 27(4), 806–819 (2008).
[Crossref]

J. Opt. A, Pure Appl. Opt. (2)

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Optical vortices in twisted optical fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 10(9), 095007 (2008).
[Crossref]

C. N. Alexeyev, E. V. Borshak, A. V. Volyar, and M. A. Yavorsky, “Angular momentum conservation and coupled vortex modes in twisted opitcal fibers with torsional stress,” J. Opt. A, Pure Appl. Opt. 11(9), 094011 (2009).
[Crossref]

Nat. Photonics (2)

J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6(7), 488–496 (2012).
[Crossref]

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7(5), 354–362 (2013).
[Crossref]

Opt. Express (4)

Opt. Lett. (4)

Optica (2)

Phys. Rev. A (2)

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation of optical vortices in layered helical waveguides,” Phys. Rev. A 83(6), 063820 (2011).
[Crossref]

E. V. Barshak, C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Twisted anisotropic fibers for robust orbital-angular-momentum-based information transmission,” Phys. Rev. A 91(3), 033833 (2015).
[Crossref]

Phys. Rev. Lett. (1)

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. J. Russell, “Optical activity in twisted solid-core photonic crystal fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Science (2)

G. K. Wong, M. S. Kang, H. W. Lee, F. Biancalana, C. Conti, T. Weiss, and P. S. Russell, “Excitation of orbital angular momentum resonances in helically twisted photonic crystal fiber,” Science 337(6093), 446–449 (2012).
[Crossref] [PubMed]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref] [PubMed]

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Figures (5)

Fig. 1
Fig. 1 (a) Cross section of air-core fiber (b) Geometry schematic of twisted air-core fiber.
Fig. 2
Fig. 2 Axial component patterns of electric field (a) vector mode HE81 in air-core fiber, (b) OAM mode “-7a” in TAF (twist rate 3.81 rad/cm).
Fig. 3
Fig. 3 Spiral phase patterns of OAM modes “-1a, −2a, −6a and −7a” in TAF (twist rate 3.81 rad/cm).
Fig. 4
Fig. 4 Effective index of OAM modes in the TAF with different twist rate of 0 rad/cm (Air-core fiber), 1.68 rad/cm, 3.81 rad/cm, 5.04 rad/cm respectively.
Fig. 5
Fig. 5 (a) Cross section of air-core photonic crystal fiber (b) Relative energy of OAM modes in TAF and TAPCF. Electric filed intensity distribution of “-2a” (c) TAPCF (twist rate 3.81rad/cm), (d) TAF (twist rate 3.81rad/cm).

Tables (1)

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Table 1 Minimum Effective Index Differences between OAM Modes

Equations (7)

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T = J T J det ( J ) = ( 1 0 α ξ 2 0 1 α ξ 1 α ξ 2 α ξ 1 1 + α 2 ( ξ 1 2 + ξ 2 2 ) ) ,
{ x = ξ 1 cos ( α ξ 3 ) + ξ 2 sin ( α ξ 3 ) y = ξ 1 sin ( α ξ 3 ) + ξ 2 cos ( α ξ 3 ) , z = ξ 3
ε ' = ( ( 1 + ( p α ) 2 ξ 2 2 ) ε ( p α ) 2 ξ 1 ξ 2 ε p α ξ 2 ε ( p α ) 2 ξ 1 ξ 2 ε ( 1 + ( p α ) 2 ξ 1 2 ) ε p α ξ 1 ε p α ξ 2 ε p α ξ 1 ε ε ) ,
{ ξ 1 = x cos ( α z ) y sin ( α z ) cos ( 2 α z ) ξ 2 = y cos ( α z ) x sin ( α z ) cos ( 2 α z ) ξ 3 = z ,
O A M ± l , m ± = H E l + 1 , m e v e n ± j H E l + 1 , m o d d ,
O A M ± l , m = E H l 1 , m e v e n ± j E H l 1 , m o d d ,
E N = E R E A ,

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