Abstract

We have studied theoretically reflecting and transmitting properties of Bragg multihelicoidal spun fibers, in which refractive index distribution features l helical branches and possesses an l-fold symmetry in the transverse cross section. It is shown that for a special choice of the profile function modulation, such fibers in certain spectral ranges have the property to change the topological charge of the incoming Gaussian beam in the reflected field by l units. This property could be used for narrowband generation of optical vortices (OVs) from Gaussian beams and for changing the topological charge of incoming OVs.

© 2013 Optical Society of America

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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]
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    [CrossRef]
  33. C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
    [CrossRef]
  34. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Intensely twisted elliptic optical fibers maintaining propagation of a single optical vortex,” J. Opt. A 8, L5–L9 (2006).
    [CrossRef]
  35. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Multi-helix chiral fiber filters of higher-order optical vortices,” J. Opt. A 9, 537–542 (2007).
    [CrossRef]
  36. C. N. Alexeyev, H. G. Galamaga, and A. V. Volyar, “Filter of optical vortices: highly twisted high-birefringence optical fibers,” Opt. Lett. 31, 8–10 (2006).
    [CrossRef]
  37. A. W. Snyder and J. D. Love, Optical Waveguide Theory(Chapman & Hall, 1985).
  38. V. I. Kopp and A. Z. Genack, “Chiral fibres: adding twist,” Nat. Photonics 5, 470–472 (2011).
    [CrossRef]
  39. A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
    [CrossRef]

2012

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

I. Skab, Y. Vasylkiv, and R. Vlokh, “Induction of optical vortex in the crystals subjected to bending stresses,” Appl. Opt. 51, 5797–5805 (2012).
[CrossRef]

I. Skab, Y. Vasylkiv, O. Krupych, V. Savaryn, and R. Vlokh, “Generation of doubly charged vortex beam by concentrated loading of glass disks along their diameter,” Appl. Opt. 51, 1631–1637 (2012).
[CrossRef]

G. Campbell, B. Hage, B. Buchler, and P. K. Lam, “Generation of high-order optical vortices using directly machined spiral phase mirrors,” Appl. Opt. 51, 873–876 (2012).
[CrossRef]

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity in Bragg elliptical twisted fibers,” Appl. Opt. 51, C7–C12 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period twisted elliptical fibers,” Appl. Opt. 51, C193–C197 (2012).
[CrossRef]

C. N. Alexeyev, “Generation of optical vortices in spun multihelicoidal optical fibers,” Appl. Opt. 51, 6125–6129 (2012).
[CrossRef]

2011

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

V. I. Kopp and A. Z. Genack, “Chiral fibres: adding twist,” Nat. Photonics 5, 470–472 (2011).
[CrossRef]

M. D. Turner, G. E. Schröder-Turk, and M. Gu, “Fabrication and characterization of three-dimensional biomimetic chiral composites,” Opt. Express 19, 10001–10008 (2011).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[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, 063820 (2011).
[CrossRef]

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

D. P. Ghai, “Generation of optical vortices with an adaptive helical mirror,” Appl. Opt. 50, 1374–1381 (2011).
[CrossRef]

G. M. Philip and N. K. Viswanathan, “Generation of spirally polarized propagation-invariant beam using fiber microaxicon,” Opt. Lett. 36, 3906–3908 (2011).
[CrossRef]

B. Terhalle, A. Langner, B. Päivänranta, V. A. Guzenko, C. David, and Y. Ekinci, “Generation of extreme ultraviolet vortex beams using computer generated holograms,” Opt. Lett. 36, 4143–4145 (2011).
[CrossRef]

2010

T. A. Fadeyeva, V. G. Shvedov, Y. V. Izdebskaya, A. V. Volyar, E. Brasselet, D. N. Neshev, A. S. Desyatnikov, and Y. S. Kivshar, “Spatially engineered polarization states and optical vortices in uniaxial crystals,” Opt. Express 18, 10848–10863 (2010).
[CrossRef]

V. V. G. K. Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283, 861–864 (2010).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

M. Thiel, H. Fischer, G. von Freymann, and M. Wegener, “Three-dimensional chiral photonic superlattices,” Opt. Lett. 35, 166–168 (2010).
[CrossRef]

2008

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

L. Marrucci, “Generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Mol. Cryst. Liq. Cryst. 488, 148–162 (2008).
[CrossRef]

T. Fadeyeva, A. Rubass, Y. Egorov, A. Volyar, and G. Swartzlander, “Quadrefringence of optical vortices in a uniaxial crystal,” J. Opt. Soc. Am. A 25, 1634–1641 (2008).
[CrossRef]

2007

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

2006

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

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Intensely twisted elliptic optical fibers maintaining propagation of a single optical vortex,” J. Opt. A 8, L5–L9 (2006).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

2005

2004

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

2001

1998

1993

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

1991

C. D. Poole, C. D. Townsend, and K. T. Nelson, “Helical-grating two-mode fiber spatial-mode coupler,” J. Lightwave Technol. 9, 598–604 (1991).
[CrossRef]

Alexeyev, A. N.

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

Alexeyev, C. N.

C. N. Alexeyev, “Generation of optical vortices in spun multihelicoidal optical fibers,” Appl. Opt. 51, 6125–6129 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period twisted elliptical fibers,” Appl. Opt. 51, C193–C197 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity in Bragg elliptical twisted fibers,” Appl. Opt. 51, C7–C12 (2012).
[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, 063820 (2011).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

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

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Intensely twisted elliptic optical fibers maintaining propagation of a single optical vortex,” J. Opt. A 8, L5–L9 (2006).
[CrossRef]

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

Alfano, R. R.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Allen, L.

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

Beijersbergen, M. W.

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

Bekshaev, A. Ya

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

Brasselet, E.

Buchler, B.

Campbell, G.

Cardano, F.

Chao, N.

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Churikov, V. M.

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

David, C.

de Lisio, C.

Desyatnikov, A. S.

Egorov, Y.

Ekinci, Y.

Erdogan, T.

Etienne, M.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Fadeyeva, T.

Fadeyeva, T. A.

Fischer, H.

Galamaga, H. G.

Genack, A. Z.

V. I. Kopp and A. Z. Genack, “Chiral fibres: adding twist,” Nat. Photonics 5, 470–472 (2011).
[CrossRef]

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Ghai, D. P.

Gu, M.

Guzenko, V. A.

Hage, B.

Hecht, E.

E. Hecht, Optics, 2nd ed. (Addison-Wesley, 1987).

Inavalli, V. V. G. K.

V. V. G. K. Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283, 861–864 (2010).
[CrossRef]

Izdebskaya, Y. V.

Izdebskaya, Ya. V.

Karimi, E.

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

Kim, J.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Kivshar, Y. S.

Kopp, V. I.

V. I. Kopp and A. Z. Genack, “Chiral fibres: adding twist,” Nat. Photonics 5, 470–472 (2011).
[CrossRef]

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Krupych, O.

Lam, P. K.

Langner, A.

Lapin, B. P.

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity in Bragg elliptical twisted fibers,” Appl. Opt. 51, C7–C12 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period twisted elliptical fibers,” Appl. Opt. 51, C193–C197 (2012).
[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, 063820 (2011).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

Lee, K. S.

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory(Chapman & Hall, 1985).

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Marrucci, L.

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

L. Marrucci, “Generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Mol. Cryst. Liq. Cryst. 488, 148–162 (2008).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

McCarthy, J.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

McGloin, T. D.

Milione, G.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Nagali, E.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

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C. D. Poole, C. D. Townsend, and K. T. Nelson, “Helical-grating two-mode fiber spatial-mode coupler,” J. Lightwave Technol. 9, 598–604 (1991).
[CrossRef]

Neshev, D. N.

Neugroschl, D. A.

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Nolan, D. A.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Padgett, M. J.

Päivänranta, B.

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Philip, G. M.

Piccirillo, B.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

Poole, C. D.

C. D. Poole, C. D. Townsend, and K. T. Nelson, “Helical-grating two-mode fiber spatial-mode coupler,” J. Lightwave Technol. 9, 598–604 (1991).
[CrossRef]

Popov, A. Yu.

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

Rubass, A.

Santamato, E.

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

Savaryn, V.

Schröder-Turk, G. E.

Sciarrino, F.

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

Shvedov, V. G.

Simpson, N. B.

Singer, J.

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Skab, I.

Slussarenko, S.

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory(Chapman & Hall, 1985).

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[CrossRef]

Staliunas, K.

M. Vasnetsov and K. Staliunas, Optical Vortices Vol. 228 of Horizons of World Physics (Nova Science, 1999).

Sviridova, S. V.

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

Swartzlander, G.

Sztul, H. I.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Terhalle, B.

Thiel, M.

Townsend, C. D.

C. D. Poole, C. D. Townsend, and K. T. Nelson, “Helical-grating two-mode fiber spatial-mode coupler,” J. Lightwave Technol. 9, 598–604 (1991).
[CrossRef]

Turner, M. D.

Tyurin, A. V.

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

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

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

Vasnetsov, M.

M. Vasnetsov and K. Staliunas, Optical Vortices Vol. 228 of Horizons of World Physics (Nova Science, 1999).

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[CrossRef]

Vasylkiv, Y.

Viswanathan, N. K.

G. M. Philip and N. K. Viswanathan, “Generation of spirally polarized propagation-invariant beam using fiber microaxicon,” Opt. Lett. 36, 3906–3908 (2011).
[CrossRef]

V. V. G. K. Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283, 861–864 (2010).
[CrossRef]

Vlokh, R.

Volyar, A.

Volyar, A. V.

von Freymann, G.

Wang, J.

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

Wegener, M.

Woerdman, J. P.

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

Yavorsky, M. A.

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity in Bragg elliptical twisted fibers,” Appl. Opt. 51, C7–C12 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period twisted elliptical fibers,” Appl. Opt. 51, C193–C197 (2012).
[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, 063820 (2011).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

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

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Intensely twisted elliptic optical fibers maintaining propagation of a single optical vortex,” J. Opt. A 8, L5–L9 (2006).
[CrossRef]

Appl. Opt.

I. Skab, Y. Vasylkiv, and R. Vlokh, “Induction of optical vortex in the crystals subjected to bending stresses,” Appl. Opt. 51, 5797–5805 (2012).
[CrossRef]

I. Skab, Y. Vasylkiv, O. Krupych, V. Savaryn, and R. Vlokh, “Generation of doubly charged vortex beam by concentrated loading of glass disks along their diameter,” Appl. Opt. 51, 1631–1637 (2012).
[CrossRef]

F. Cardano, E. Karimi, S. Slussarenko, L. Marrucci, C. de Lisio, and E. Santamato, “Polarization pattern of vector vortex beams generated by q-plates with different topological charges,” Appl. Opt. 51, C1–C6 (2012).
[CrossRef]

G. Campbell, B. Hage, B. Buchler, and P. K. Lam, “Generation of high-order optical vortices using directly machined spiral phase mirrors,” Appl. Opt. 51, 873–876 (2012).
[CrossRef]

D. P. Ghai, “Generation of optical vortices with an adaptive helical mirror,” Appl. Opt. 50, 1374–1381 (2011).
[CrossRef]

T. D. McGloin, N. B. Simpson, and M. J. Padgett, “Transfer of orbital angular momentum from a stressed fiber-optic waveguide to a light beam,” Appl. Opt. 37, 469–472 (1998).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Generation and conversion of optical vortices in long-period twisted elliptical fibers,” Appl. Opt. 51, C193–C197 (2012).
[CrossRef]

C. N. Alexeyev, “Generation of optical vortices in spun multihelicoidal optical fibers,” Appl. Opt. 51, 6125–6129 (2012).
[CrossRef]

C. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity in Bragg elliptical twisted fibers,” Appl. Opt. 51, C7–C12 (2012).
[CrossRef]

J. Lightwave Technol.

C. D. Poole, C. D. Townsend, and K. T. Nelson, “Helical-grating two-mode fiber spatial-mode coupler,” J. Lightwave Technol. 9, 598–604 (1991).
[CrossRef]

J. Opt.

C. N. Alexeyev, A. N. Alexeyev, T. A. Fadeyeva, B. P. Lapin, and M. A. Yavorsky, “Topological activity of layered chiral optical Bragg waveguides,” J. Opt. 13, 095701 (2011).
[CrossRef]

L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011).
[CrossRef]

J. Opt. A

C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, “Intensely twisted elliptic optical fibers maintaining propagation of a single optical vortex,” J. Opt. A 8, L5–L9 (2006).
[CrossRef]

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

J. Opt. Soc. Am. A

Mol. Cryst. Liq. Cryst.

L. Marrucci, “Generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals,” Mol. Cryst. Liq. Cryst. 488, 148–162 (2008).
[CrossRef]

Nat. Photonics

V. I. Kopp and A. Z. Genack, “Chiral fibres: adding twist,” Nat. Photonics 5, 470–472 (2011).
[CrossRef]

Opt. Commun.

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).
[CrossRef]

A. Ya Bekshaev, S. V. Sviridova, A. Yu. Popov, and A. V. Tyurin, “Generation of optical vortex light beams by volume holograms with embedded phase singularity,” Opt. Commun. 285, 4005–4014 (2012).
[CrossRef]

V. V. G. K. Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283, 861–864 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[CrossRef]

C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, “Helical core optical fibers maintaining propagation of a solitary optical vortex,” Phys. Rev. A 78, 013813 (2008).
[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, 063820 (2011).
[CrossRef]

E. Karimi, S. Slussarenko, B. Piccirillo, L. Marrucci, and E. Santamato, “Polarization-controlled evolution of light transverse modes and associated Pancharatnam geometric phase in orbital angular momentum,” Phys. Rev. A 81, 053813 (2010).
[CrossRef]

Phys. Rev. Lett.

L. Marrucci, C. Manzo, and D. Paparo, “Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media,” Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Proc. SPIE

G. Milione, H. I. Sztul, D. A. Nolan, J. Kim, M. Etienne, J. McCarthy, J. Wang, and R. R. Alfano, “Cylindrical vector beam generation from a multi elliptical core optical fiber,” Proc. SPIE 7950, 79500K (2011).
[CrossRef]

A. Z. Genack, V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, and D. A. Neugroschl, “Chiral fiber Bragg gratings,” Proc. SPIE 5508, 57–64 (2004).
[CrossRef]

Prog. Opt.

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[CrossRef]

Other

M. Vasnetsov and K. Staliunas, Optical Vortices Vol. 228 of Horizons of World Physics (Nova Science, 1999).

E. Hecht, Optics, 2nd ed. (Addison-Wesley, 1987).

A. W. Snyder and J. D. Love, Optical Waveguide Theory(Chapman & Hall, 1985).

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Figures (5)

Fig. 1.
Fig. 1.

Model of a multihelicoidal (l=4) fiber and the geometry of the problem.

Fig. 2.
Fig. 2.

Zero-approximation spectra of m=0 and m=3 multihelicoidal (l=3) fiber modes versus reciprocal lattice vector q. The type of the mode is indicated at the corresponding curve. Insets show repulsion of spectral branches due to mode coupling and formation of the bandgap.

Fig. 3.
Fig. 3.

Reflection (|Ri|2) and transmission (|Pi|2) coefficients for (a) and (c) |1,0 fundamental mode (Gaussian beam) and (b) and (d) OV |1,3 versus wavelength of the incoming field |1,0. Fiber’s parameters: d=5000H=3.168mm, Δ=102, δ=8·102, r0=10λ0, λ0=6.328·107m, and H=6.335·107m.

Fig. 4.
Fig. 4.

Reflection coefficient |R2|2 for |1,3 OV versus wavelength of the incoming field |1,0. Fiber’s parameters: (a) d=500H=0.317mm, (b) d=1000H=0.633mm, and (c) d=2000H=1.267mm, Δ=102, δ=8·102, r0=10λ0, λ0=6.328·107m, and H=6.335·107m.

Fig. 5.
Fig. 5.

Reflection and transmission coefficients (a) |Ri|2 and (b) |Pi|2 for |1,3 OV versus wavelength of the incoming field |1,3. Fiber’s parameters: d=5000H=3.168mm, Δ=102, δ=8·102, r0=10λ0, λ0=6.328·107m, and H=6.335·107m.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

n2(r,φ,z)=nco2(12Δf(r))2nco2Δδrfrcos(l(φqz)),
2Et+k2n2Et=0,
{2r˜2+1r˜r˜+1r˜22φ˜2+(iβqφ˜)2+k2n˜22k2nco2r˜Δδfr˜cos(lφ˜)}et(r˜,φ˜)=0,
(H^0+V^)|e=β2|e,
|σ,m=(1iσ)exp(imφ˜)Fm(r),
βm(1,2)=±β˜m+mq.
qi=β˜m+β˜mmm.
|mm|=l,σ=σ.
V12=V21=σ,0|V^|σ,l=k2nco2ΔδN0NlA,
a(q1,β˜0),b(q1,β˜0),
β=β˜0+δa,β=β˜0+δb,q=q1+ε.
(2β˜0δaAA2β˜l(δalε))xa=0,(2β˜0δbAA2β˜l(δb+lε))xb=0,
δ1,2a=0.5(lε±l2ε2Q2),δ1,2b=0.5(lε±l2ε2Q2),
|ψ1a={p1|1,0ei(β˜0+0.5lε)z+p2|1,lei(β˜l+0.5lε)z}exp(iz2l2ε2Q2),|ψ2a={p2|1,0ei(β˜0+0.5lε)z+p1|1,lei(β˜l+0.5lε)z}exp(iz2l2ε2Q2),
|ψ1b={p2|1,0ei(β˜0+0.5lε)z+p1|1,lei(β˜l+0.5lε)z}exp(iz2l2ε2Q2),|ψ2b={p2|1,0ei(β˜0+0.5lε)z+p1|1,lei(β˜l+0.5lε)z}exp(iz2l2ε2Q2).
|Φ1(z0)=|1,0eikz+(R1|1,0+R2|1,l+R3|1,l)eikz.
|Φ2(0<z<d)=T1|ψ1a+T2|ψ2a+T3|ψ1b+T4|ψ2b+T5|1,leiβ˜lz+T6|1,leiβ˜lz,
|Φ3(zd)=(P1|1,0+P2|1,l+P3|1,l)eik(zd).

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