Abstract

Helically twisted microstructured optical fibers have a wide application prospect in the field of optical vortex communications. In this paper, a helically twisted single-ring photonic crystal fiber (HS-PCF) is proposed for orbital angular momentum (OAM) vortex modes selective filtering. And the theoretical framework of OAMs filtering is also constructed. Positive and negative OAM vortexes have different transmission losses in HS-PCF, and the loss difference between them increases significantly after the twist rate reaches a certain value. Such fibers can filter out OAMs with a certain sign of the topological charge (depending on the handedness of the thread), while dissipating oppositely charged OAMs. In addition to the general OAMs, i.e., zero-order radial vortex modes, the helically twisted fiber also performs a good selective filtering for the first-order radial vortex modes. Remarkably, the filtering bandwidth of HS-PCF is very broad, covering four communication bands from O- to C-band. This kind of fiber can be used as a broadband OAMs filter.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2018 (4)

2017 (2)

2016 (1)

2015 (1)

W. N. Plick and M. Krenn, “Physical meaning of the radial index of Laguerre-Gauss beams,” Phys. Rev. A 92(6), 063841 (2015).
[Crossref]

2014 (2)

2013 (6)

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. S. Russell, “Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers,” J. Opt. Soc. Am. B 30(11), 2921–2927 (2013).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

H. Xu and L. Yang, “Conversion of orbital angular momentum of light in chiral fiber gratings,” Opt. Lett. 38(11), 1978–1980 (2013).
[Crossref] [PubMed]

S. Ramachandran and P. Kristensen, “Optical vortices in fiber,” Nanophotonics 2(5–6), 455–474 (2013).

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]

2012 (1)

G. K. L. 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]

2008 (2)

C. N. Alexeyev and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period helical core optical fibers,” Phys. Rev. A 78(4), 043828 (2008).
[Crossref]

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

2007 (2)

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fibre filters of higher-order optical vortices,” J. Opt. A, Pure Appl. Opt. 9(5), 537–542 (2007).
[Crossref]

A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, “Leaky modes in twisted microstructured optical fibers,” Waves Random Complex Media 17(4), 559–570 (2007).
[Crossref]

2006 (1)

Agha, Y. O.

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, “Leaky modes in twisted microstructured optical fibers,” Waves Random Complex Media 17(4), 559–570 (2007).
[Crossref]

Ahmed, G.

Alexeyev, A. N.

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

Alexeyev, C. N.

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

C. N. Alexeyev and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period helical core optical fibers,” Phys. Rev. A 78(4), 043828 (2008).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fibre filters of higher-order optical vortices,” J. Opt. A, Pure Appl. Opt. 9(5), 537–542 (2007).
[Crossref]

C. N. Alexeyev, H. G. Galamaga, and A. V. Volyar, “Filter of optical vortices: highly twisted high-birefringence optical fibers,” Opt. Lett. 31(1), 8–10 (2006).
[Crossref] [PubMed]

Babic, F.

Barnett, S. M.

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. S. Russell, “Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers,” J. Opt. Soc. Am. B 30(11), 2921–2927 (2013).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Beravat, R.

Biancalana, F.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. S. Russell, “Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers,” J. Opt. Soc. Am. B 30(11), 2921–2927 (2013).
[Crossref]

G. K. L. 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]

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]

Conti, C.

G. K. L. 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]

Deng, D.

Edavalath, N. N.

Euser, T. G.

Feng, L.

Frosz, M. H.

Fujisawa, T.

Galamaga, H. G.

Gao, J.

Guenneau, S.

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, “Leaky modes in twisted microstructured optical fibers,” Waves Random Complex Media 17(4), 559–570 (2007).
[Crossref]

Günendi, M. C.

Guo, Z.

Han, Y.

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]

Jiang, X.

Kang, M. S.

G. K. L. 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]

Krenn, M.

W. N. Plick and M. Krenn, “Physical meaning of the radial index of Laguerre-Gauss beams,” Phys. Rev. A 92(6), 063841 (2015).
[Crossref]

Kristensen, P.

S. Ramachandran and P. Kristensen, “Optical vortices in fiber,” Nanophotonics 2(5–6), 455–474 (2013).

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]

Lapin, B. P.

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

LaRochelle, S.

Lee, H. W.

G. K. L. 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]

Li, W.

Li, Y.

Liu, Y.

Ménard, J. M.

Messaddeq, Y.

Milione, G.

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

Napiorkowski, M.

Nicolet, A.

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, “Leaky modes in twisted microstructured optical fibers,” Waves Random Complex Media 17(4), 559–570 (2007).
[Crossref]

Padgett, M. J.

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Plick, W. N.

W. N. Plick and M. Krenn, “Physical meaning of the radial index of Laguerre-Gauss beams,” Phys. Rev. A 92(6), 063841 (2015).
[Crossref]

Qu, S.

Ramachandran, S.

S. Ramachandran and P. Kristensen, “Optical vortices in fiber,” Nanophotonics 2(5–6), 455–474 (2013).

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]

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]

Rusch, L. A.

Russell, P. S.

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. S. Russell, “Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers,” J. Opt. Soc. Am. B 30(11), 2921–2927 (2013).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

G. K. L. 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.

Saitoh, K.

Song, H.

St J Russell, P.

Su, X.

Sun, Q.

Tong, W.

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]

Ung, B.

Urbanczyk, W.

Vaity, P.

Volyar, A. V.

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fibre filters of higher-order optical vortices,” J. Opt. A, Pure Appl. Opt. 9(5), 537–542 (2007).
[Crossref]

C. N. Alexeyev, H. G. Galamaga, and A. V. Volyar, “Filter of optical vortices: highly twisted high-birefringence optical fibers,” Opt. Lett. 31(1), 8–10 (2006).
[Crossref] [PubMed]

Wang, L.

Weiss, T.

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. S. Russell, “Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers,” J. Opt. Soc. Am. B 30(11), 2921–2927 (2013).
[Crossref]

X. M. Xi, T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, M. J. Padgett, and P. S. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

G. K. L. 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]

Wong, G. K. L.

Wu, J.

Wu, S.

Xi, X. M.

Xu, H.

Yang, C.

Yang, L.

Yavorsky, M. A.

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[Crossref]

C. N. Alexeyev and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period helical core optical fibers,” Phys. Rev. A 78(4), 043828 (2008).
[Crossref]

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fibre filters of higher-order optical vortices,” J. Opt. A, Pure Appl. Opt. 9(5), 537–542 (2007).
[Crossref]

Ye, J.

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]

Zeng, X.

Zolla, F.

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, “Leaky modes in twisted microstructured optical fibers,” Waves Random Complex Media 17(4), 559–570 (2007).
[Crossref]

Compel-Int. J. Comp. Math. Electr. Electron. Eng. (1)

Y. O. Agha, F. Zolla, A. Nicolet, and S. Guenneau, “On the use of PML for the computation of leaky modes - An application to microstructured optical fibres,” Compel-Int. J. Comp. Math. Electr. Electron. Eng. 27(1), 95–109 (2008).
[Crossref]

J. Opt. A, Pure Appl. Opt. (1)

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fibre filters of higher-order optical vortices,” J. Opt. A, Pure Appl. Opt. 9(5), 537–542 (2007).
[Crossref]

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

Nanophotonics (1)

S. Ramachandran and P. Kristensen, “Optical vortices in fiber,” Nanophotonics 2(5–6), 455–474 (2013).

Opt. Express (3)

Opt. Lett. (7)

Optica (1)

Phys. Rev. A (3)

C. N. Alexeyev and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period helical core optical fibers,” Phys. Rev. A 78(4), 043828 (2008).
[Crossref]

W. N. Plick and M. Krenn, “Physical meaning of the radial index of Laguerre-Gauss beams,” Phys. Rev. A 92(6), 063841 (2015).
[Crossref]

C. N. Alexeyev, A. N. Alexeyev, B. P. Lapin, G. Milione, and M. A. Yavorsky, “Spin-orbit-interaction-induced generation of optical vortices in multihelicoidal fibers,” Phys. Rev. A 88(6), 063814 (2013).
[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. Russell, “Optical Activity in Twisted Solid-Core Photonic Crystal Fibers,” Phys. Rev. Lett. 110(14), 143903 (2013).
[Crossref] [PubMed]

Science (2)

G. K. L. 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]

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[Crossref] [PubMed]

Waves Random Complex Media (1)

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[Crossref]

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Figures (5)

Fig. 1
Fig. 1 Schematic diagram of vortex chirality-dependent filtering of HS-PCF. Red and blue helical phase planes represent left-handed and right-handed vortexes, respectively.
Fig. 2
Fig. 2 (a) Twist-index graph of HS-PCF (solid lines) and S-PCF (dashed lines). (b) Mode profiles of groove mode |Ψ1a〉 and tooth mode |Ψ2a〉. (c) Mode profiles of |1, 4〉 (upper) and |Ψ2〉 (lower) at α = 8.0 rad/mm, and the two modes are also denoted in (a) by black and red circles. Mode profiles in (b) and (c) are displayed in helicoidal coordinates.
Fig. 3
Fig. 3 (a) Power ratios of components |Ψ1〉, |Ψ2〉 and |Ψ3〉 at different twist rates. (b) Twist-K curves of |Ψ1〉, |Ψ2〉 and |1, 4〉. (c) Normalized power of |Ψ1〉, |Ψ2〉, |Ψ3〉 and |1, 4〉 varying with transmission distance in HS-PCF with α = 8.0 rad/mm. (d) Fourth-order vortexes transmissivity spectra of the HS-PCF with α = 8.0 rad/mm and L = 12 cm.
Fig. 4
Fig. 4 (a) Twist-index graph of HS-PCF (solid lines) and S-PCF (dashed lines). (b) Twist-K curves of |Ψ4〉, |Ψ5〉 and |-1, 4〉.
Fig. 5
Fig. 5 (a) Twist-index graph of HS-PCF (solid lines) and S-PCF (dashed lines). (b) Twist-K curves of |Ψ7〉, |Ψ8〉, |Ψ9〉, |1, 3〉 and |1, 3〉1. (c) Third-order vortexes transmissivity spectra of the HS-PCF with α = 12.0 rad/mm and L = 4 cm. (d) First-order radial third-order vortexes transmissivity spectra of the HS-PCF with α = 8.0 rad/mm and L = 1.5 cm.

Equations (11)

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{ ξ 1 =xcos(αz)ysin(αz) ξ 2 =xsin(αz)+ycos(αz) ξ 3 =z ,
[ ε ]=ε T 1 ,[ μ ]=μ T 1 ,
T 1 ( ξ 1 , ξ 2 )=( α 2 ξ 2 2 +1 α 2 ξ 1 ξ 2 α ξ 2 α 2 ξ 1 ξ 2 α 2 ξ 1 2 +1 α ξ 1 α ξ 2 α ξ 1 1 ).
n s = n s0 +Mαλ/2π.
β 2 - β 1 =0,| l 2 l 1 σ 2 + σ 1 |=KN.
β 2 - β 1 =0,| l 2 l 1 |=KN, σ 2 = σ 1 .
| Ψ 1a = C + | 1,6+ C | 1,4 | Ψ 2a = C | 1,6 C + | 1,4,
| Ψ 2b = C ˜ + | 1,4+ C ˜ | 1,6 1 | Ψ 3b = C ˜ | 1,4 C ˜ + | 1,6 1 .
| 1,4= n=1 C n (α)| Ψ n n=1 3 C n (α)| Ψ n ,α12rad/mm.
A n (α)= | Ψ n | 1,4 dxdy | 2 Ψ n | Ψ n 1,4| 1,4 .
P n (α)= | A n (α) | 2 .