Abstract

Experimental demonstration of rotational Doppler-effect due to direct and simultaneous excitation of orthogonal elliptically-polarized fundamental and vortex modes in a two-mode optical fiber is presented here. The rotation frequency and the trajectory of the zero-intensity point in the two-mode fiber output beam measured as a function of analyzer rotation matches with the S-contour of polarization singularity in the beam, identified via Stokes parameter measurement. The characteristics of the S-contour around the C-point in the output beam is also measured as a function of rotating Dove prism and half-wave plate – Dove prism combination to highlight the role of polarization modifying components on the observed rotational Doppler-effect of vector-vortex beams.

© 2011 OSA

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  2. M. Padgett, “Electromagnetism: like a speeding watch,” Nature 443(7114), 924–925 (2006).
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    [CrossRef]
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    [CrossRef]
  6. L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
    [CrossRef]
  7. J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
    [CrossRef]
  8. J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
    [PubMed]
  9. I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  12. C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  24. O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
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    [CrossRef] [PubMed]
  27. B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
    [CrossRef]
  28. F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
    [CrossRef] [PubMed]
  29. M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999).
  30. I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
    [CrossRef]
  31. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).
  32. Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
    [CrossRef]
  33. A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
    [CrossRef]

2010

V. V. G. Krishna Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283(6), 861–864 (2010).
[CrossRef]

N. K. Viswanathan, G. M. Philip, and Y. V. Jayasurya, “Rotational frequency shift in cylindrical vector beam due to skew rays in few-mode optical fibers,” Proc. SPIE 7613, 761307, 761307-9 (2010).
[CrossRef]

2009

N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009).
[CrossRef] [PubMed]

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

2008

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

2007

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

2006

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

T. A. Fadeyeva, A. N. Alexeyev, and C. N. Alexeyev, “Rotational Doppler effect in weakly guiding optical fibres,’,” Proc. SPIE 6254, 625401 (2006).

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

M. Padgett, “Electromagnetism: like a speeding watch,” Nature 443(7114), 924–925 (2006).
[CrossRef] [PubMed]

2005

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Effect of one-axis anisotropy on the propagation of optical vortices in rotating optical fibers,” J. Opt. A, Pure Appl. Opt. 7(1), 63–72 (2005).
[CrossRef]

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

2004

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
[CrossRef]

2003

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
[CrossRef]

2002

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

1999

M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999).

1998

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, “Optics of singularities of a low mode fiber: Optical vortices,” Opt. Spectrosc. 85, 272–280 (1998).

1997

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Rotational frequency shift,” Phys. Rev. Lett. 78(13), 2539–2542 (1997).
[CrossRef]

1994

L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
[CrossRef]

1981

B. A. Garetz, “Angular Doppler effect,” J. Opt. Soc. Am. 71(5), 609–611 (1981).
[CrossRef]

1979

B. A. Garetz and S. Arnold, “Variable frequency shifting of circularly polarized laser radiation via a rotating half wave retardation plate,” Opt. Commun. 31(1), 1–3 (1979).
[CrossRef]

Alexeyev, A. N.

T. A. Fadeyeva, A. N. Alexeyev, and C. N. Alexeyev, “Rotational Doppler effect in weakly guiding optical fibres,’,” Proc. SPIE 6254, 625401 (2006).

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Effect of one-axis anisotropy on the propagation of optical vortices in rotating optical fibers,” J. Opt. A, Pure Appl. Opt. 7(1), 63–72 (2005).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
[CrossRef]

Alexeyev, C. N.

T. A. Fadeyeva, A. N. Alexeyev, and C. N. Alexeyev, “Rotational Doppler effect in weakly guiding optical fibres,’,” Proc. SPIE 6254, 625401 (2006).

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Effect of one-axis anisotropy on the propagation of optical vortices in rotating optical fibers,” J. Opt. A, Pure Appl. Opt. 7(1), 63–72 (2005).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
[CrossRef]

Allen, L.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
[CrossRef]

Angelsky, O. V.

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

Arlt, J.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Arnold, S.

B. A. Garetz and S. Arnold, “Variable frequency shifting of circularly polarized laser radiation via a rotating half wave retardation plate,” Opt. Commun. 31(1), 1–3 (1979).
[CrossRef]

Babiker, M.

L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
[CrossRef]

Barreiro, S.

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

Barrett, D.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

Bekshaev, A. Y.

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

Bekshaev, A. Ya.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

Bialynicka-Birula, Z.

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Rotational frequency shift,” Phys. Rev. Lett. 78(13), 2539–2542 (1997).
[CrossRef]

Bialynicki-Birula, I.

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Rotational frequency shift,” Phys. Rev. Lett. 78(13), 2539–2542 (1997).
[CrossRef]

Bogatyryova, G. V.

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

Bogatyryova, H. V.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

Chernyshov, A. A.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

Collett, E.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Courtial, J.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

Dennis, M. R.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

Dholakia, K.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

Fadeeva, T. A.

A. V. Volyar and T. A. Fadeeva, “Optics of singularities of a low mode fiber: Optical vortices,” Opt. Spectrosc. 85, 272–280 (1998).

Fadeyeva, T. A.

T. A. Fadeyeva, A. N. Alexeyev, and C. N. Alexeyev, “Rotational Doppler effect in weakly guiding optical fibres,’,” Proc. SPIE 6254, 625401 (2006).

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

Failache, H.

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

Felde, Ch. V.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

Flossmann, F.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

Fraher, B.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Garetz, B. A.

B. A. Garetz, “Angular Doppler effect,” J. Opt. Soc. Am. 71(5), 609–611 (1981).
[CrossRef]

B. A. Garetz and S. Arnold, “Variable frequency shifting of circularly polarized laser radiation via a rotating half wave retardation plate,” Opt. Commun. 31(1), 1–3 (1979).
[CrossRef]

Hanson, S. G.

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

Inavalli, V. V. G. K.

N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009).
[CrossRef] [PubMed]

Jayasurya, Y. V.

N. K. Viswanathan, G. M. Philip, and Y. V. Jayasurya, “Rotational frequency shift in cylindrical vector beam due to skew rays in few-mode optical fibers,” Proc. SPIE 7613, 761307, 761307-9 (2010).
[CrossRef]

Krishna Inavalli, V. V. G.

V. V. G. Krishna Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283(6), 861–864 (2010).
[CrossRef]

Lesso, J. P.

M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999).

Lezama, A.

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

Macdonald, M.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Maier, M.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

Maksimyak, A. P.

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

Maksimyak, P. P.

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

Mokhun, A. I.

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

Mokhun, I. I.

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

Moreno, I.

I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
[CrossRef]

Padgett, M.

M. Padgett, “Electromagnetism: like a speeding watch,” Nature 443(7114), 924–925 (2006).
[CrossRef] [PubMed]

Padgett, M. J.

M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999).

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

Paez, G.

I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
[CrossRef]

Paterson, L.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Petrov, D. V.

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

Philip, G. M.

N. K. Viswanathan, G. M. Philip, and Y. V. Jayasurya, “Rotational frequency shift in cylindrical vector beam due to skew rays in few-mode optical fibers,” Proc. SPIE 7613, 761307, 761307-9 (2010).
[CrossRef]

Polyanskii, P. V.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

Power, W. L.

L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
[CrossRef]

Robertson, D. A.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

Schaefer, B.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Schwarz, U. T.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

Sibbett, W.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Slyusar, V. V.

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

Smyth, R.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Soskin, M. S.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

Strojnik, M.

I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
[CrossRef]

Tabosa, J. W. R.

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

Torner, L.

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

Torres, J. P.

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

Ushenko, Y. A.

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

Vasnetsov, M. V.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

Viswanathan, N. K.

V. V. G. Krishna Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283(6), 861–864 (2010).
[CrossRef]

N. K. Viswanathan, G. M. Philip, and Y. V. Jayasurya, “Rotational frequency shift in cylindrical vector beam due to skew rays in few-mode optical fibers,” Proc. SPIE 7613, 761307, 761307-9 (2010).
[CrossRef]

N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009).
[CrossRef] [PubMed]

Volke-Sepulveda, K.

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Volyar, A. V.

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

A. V. Volyar and T. A. Fadeeva, “Optics of singularities of a low mode fiber: Optical vortices,” Opt. Spectrosc. 85, 272–280 (1998).

Yavorsky, M. A.

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Effect of one-axis anisotropy on the propagation of optical vortices in rotating optical fibers,” J. Opt. A, Pure Appl. Opt. 7(1), 63–72 (2005).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
[CrossRef]

Am. J. Phys.

B. Schaefer, E. Collett, R. Smyth, D. Barrett, and B. Fraher, “Measuring the Stokes polarization parameters,” Am. J. Phys. 75(2), 163–168 (2007).
[CrossRef]

Appl. Opt.

O. V. Angelsky, P. P. Maksimyak, A. P. Maksimyak, S. G. Hanson, and Y. A. Ushenko, “Role of caustics in the formation of networks of amplitude zeros for partially developed speckle fields,” Appl. Opt. 43(31), 5744–5753 (2004).
[CrossRef] [PubMed]

O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “Feasibilities of interferometric and chromascopic techniques in study of phase singularities,” Appl. Opt. 44(24), 5091–5100 (2005).
[CrossRef] [PubMed]

J. Mod. Opt.

M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999).

J. Opt. A, Pure Appl. Opt.

A. A. Chernyshov, Ch. V. Felde, H. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Vector singularities of the combined beams assembled from mutually incoherent orthogonally polarized components,” J. Opt. A, Pure Appl. Opt. 11(9), 094010 (2009).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Optical vortices in rotating weakly guiding ideal optical fibers,” J. Opt. A, Pure Appl. Opt. 6(8), 762–768 (2004).
[CrossRef]

C. N. Alexeyev, A. N. Alexeyev, and M. A. Yavorsky, “Effect of one-axis anisotropy on the propagation of optical vortices in rotating optical fibers,” J. Opt. A, Pure Appl. Opt. 7(1), 63–72 (2005).
[CrossRef]

J. Opt. Soc. Am.

B. A. Garetz, “Angular Doppler effect,” J. Opt. Soc. Am. 71(5), 609–611 (1981).
[CrossRef]

JETP Lett.

I. V. Basistiy, A. Y. Bekshaev, M. V. Vasnetsov, V. V. Slyusar, and M. S. Soskin, “Observation of the rotational Doppler effect for optical beams with helical wave front using spiral zone plate,” JETP Lett. 76(8), 486–489 (2002).
[CrossRef]

Ch. V. Felde, A. A. Chernyshov, G. V. Bogatyryova, P. V. Polyanskii, and M. S. Soskin, “Polarization singularities in partially coherent combined beams,” JETP Lett. 88(7), 418–422 (2008).
[CrossRef]

Nature

M. Padgett, “Electromagnetism: like a speeding watch,” Nature 443(7114), 924–925 (2006).
[CrossRef] [PubMed]

Opt. Commun.

B. A. Garetz and S. Arnold, “Variable frequency shifting of circularly polarized laser radiation via a rotating half wave retardation plate,” Opt. Commun. 31(1), 1–3 (1979).
[CrossRef]

L. Allen, M. Babiker, and W. L. Power, “Azimuthal Doppler shift in light beams with orbital angular momentum,” Opt. Commun. 112(3-4), 141–144 (1994).
[CrossRef]

V. V. G. Krishna Inavalli and N. K. Viswanathan, “Switchable vector vortex beam generation using an optical fiber,” Opt. Commun. 283(6), 861–864 (2010).
[CrossRef]

I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220(4-6), 257–268 (2003).
[CrossRef]

Opt. Express

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, “Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,” Opt. Express 14(23), 11402–11411 (2006).
[CrossRef] [PubMed]

J. Arlt, M. Macdonald, L. Paterson, W. Sibbett, K. Dholakia, and K. Volke-Sepulveda, “Moving interference patterns created using the angular Doppler-effect,” Opt. Express 10(16), 844–852 (2002).
[PubMed]

Opt. Lett.

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, “Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam,” Opt. Lett. 28(14), 1185–1187 (2003).
[CrossRef] [PubMed]

M. V. Vasnetsov, J. P. Torres, D. V. Petrov, and L. Torner, “Observation of the orbital angular momentum spectrum of a light beam,” Opt. Lett. 28(23), 2285–2287 (2003).
[CrossRef] [PubMed]

N. K. Viswanathan and V. V. G. K. Inavalli, “Generation of optical vector beams using a two-mode fiber,” Opt. Lett. 34(8), 1189–1191 (2009).
[CrossRef] [PubMed]

Opt. Spectrosc.

A. V. Volyar and T. A. Fadeeva, “Optics of singularities of a low mode fiber: Optical vortices,” Opt. Spectrosc. 85, 272–280 (1998).

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, “Interferometric methods in diagnostics of polarization singularities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(33 Pt 2B), 036602 (2002).
[CrossRef] [PubMed]

Phys. Rev. Lett.

S. Barreiro, J. W. R. Tabosa, H. Failache, and A. Lezama, “Spectroscopic observation of the rotational Doppler effect,” Phys. Rev. Lett. 97(11), 113601 (2006).
[CrossRef] [PubMed]

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, “Rotational frequency shift of a light Beam,” Phys. Rev. Lett. 81(22), 4828–4830 (1998).
[CrossRef]

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Rotational frequency shift,” Phys. Rev. Lett. 78(13), 2539–2542 (1997).
[CrossRef]

Proc. SPIE

T. A. Fadeyeva, A. N. Alexeyev, and C. N. Alexeyev, “Rotational Doppler effect in weakly guiding optical fibres,’,” Proc. SPIE 6254, 625401 (2006).

N. K. Viswanathan, G. M. Philip, and Y. V. Jayasurya, “Rotational frequency shift in cylindrical vector beam due to skew rays in few-mode optical fibers,” Proc. SPIE 7613, 761307, 761307-9 (2010).
[CrossRef]

Ukr. J. Phys.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Rotation of arbitrary optical image and the rotational Doppler effect,” Ukr. J. Phys. 49, 490–495 (2004).

A. N. Alexeyev, C. N. Alexeyev, T. A. Fadeyeva, and A. V. Volyar, “Analysis of singularity properties of the radiation field in low-mode optical fibers,” Ukr. J. Phys. 7(1), 11–17 (2006).
[CrossRef]

Other

J. F. Nye, “Natural focusing and fine structure of light: Caustics and wave dislocations,” Institute of Physics Publishing, Bristol (1999).

For a complete list of published references in the field of singular optics refer to http://www.cis.rit.edu/~grovers/SO/so.html

A.W. Snyder and Love, Optical waveguide theory, (Chapman and Hall, 1983)

R. M. A. Azzam, and N. M. Bashara, Ellipsometry and polarized light, North-Holland, 1977.

Supplementary Material (1)

» Media 1: AVI (86 KB)     

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Figures (6)

Fig. 1
Fig. 1

Linear combination of modes inside the TMF corresponding to (a) Eqs. (1)(4) and (b) Eqs. (5)(8).

Fig. 2
Fig. 2

(a) Schematic of the experimental setup. P – polarizer, QWP – quarter wave-plate, BS – beam splitter, L1 and L2 –objective lenses, TMF – two-mode fiber, A – analyzer, CCD – detector, HWP – half wave-plate, DP – Dove prism; (b) output image and (c) interference pattern.

Fig. 3
Fig. 3

Stokes parameters of the output beam from the TMF for input QWP oriented at −45°.

Fig. 4
Fig. 4

(a) (Media 1) Rotating image at the TMF output as a function of the analyzer rotation (b) Polarization singularities – S-lines and C-point – in the output from the TMF excited by left-circularly polarized Gaussian beam.

Fig. 5
Fig. 5

Rotation of ZIP due to rotating DP (black) and analyzer rotation for different fixed orientation of DP (colours).

Fig. 6
Fig. 6

Rotation of ZIP due to rotation of HWP-DP combination and rotation of analyzer for different fixed orientation of the HWP-DP combination.

Equations (13)

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

e t ( C P 11 e + ) e t ( L P 11 e x ) + i e t ( L P 11 e y )
e t ( C P 11 o + ) e t ( L P 11 o x ) i e t ( L P 11 o y )
e t ( C P 11 e ) e t ( L P 11 e x ) i e t ( L P 11 e y )
e t ( C P 11 o ) e t ( L P 11 o x ) + i e t ( L P 11 o y )
C V + 1 + C P 11 e + + i C P 11 o +
C V 1 C P 11 e i C P 11 o
I V 1 + C P 11 e + i C P 11 o +
I V + 1 C P 11 e + i C P 11 o
E t = ( x ^ + i σ 1 y ^ ) a exp ( R 2 ) + ( x ^ + i σ 2 y ^ ) Re x p ( R 2 i σ 2 ϕ )
E t = ( x ^ i y ^ ) a exp ( R 2 ) + ( x ^ + i y ^ ) Re x p ( R 2 i ϕ + i δ )
a + Re x p { i ( σ 2 [ θ ϕ ] σ 1 θ ) } = 0
R = a ; ϕ = π / σ 2 + ( 1 σ 1 σ 2 ) θ
Δ Ω = ϕ t = ( 1 σ 1 σ 2 ) Ω

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