Abstract

We have theoretically predicted gigantic spikes of orbital angular momentum caused by conversion processes of the centered optical vortex in the circularly polarized components of an elliptic vortex beam propagating perpendicularly to the crystal optical axis. We have experimentally observed the conversion process inside subwave deviations of the crystal length. We have found that the total orbital angular momentum of the wave beam is conserved.

© 2011 Optical Society of America

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References

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  15. T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
    [CrossRef]

2011

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

A. Desyatnikov, M. Dennis, and A. Ferrando, Phys. Rev. A 83, 063822 (2011).
[CrossRef]

2009

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

2006

F. S. Roux, South African J. Sci. 102, 601 (2006).

2005

M. V. Berry, M. R. Jeffrey, and M. Mansuripur, J. Opt. A 7, 685 (2005).
[CrossRef]

2003

2002

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

2001

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

C. N. Alexeyev, Yu. A. Fridman, and A. N. Alexeyev, Ukr. Fiz. Zh. 46, 43 (2001).

1997

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Alexeyev, A. N.

C. N. Alexeyev, Yu. A. Fridman, and A. N. Alexeyev, Ukr. Fiz. Zh. 46, 43 (2001).

Alexeyev, C.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

Alexeyev, C. N.

C. N. Alexeyev, Yu. A. Fridman, and A. N. Alexeyev, Ukr. Fiz. Zh. 46, 43 (2001).

Allen, L.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Bekhshaev, A.

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

Berry, M. V.

M. V. Berry, M. R. Jeffrey, and M. Mansuripur, J. Opt. A 7, 685 (2005).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge U. Press, 1999).

Ciattoni, A.

Courtial, J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Denisenko, V.

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

Dennis, M.

A. Desyatnikov, M. Dennis, and A. Ferrando, Phys. Rev. A 83, 063822 (2011).
[CrossRef]

Desyatnikov, A.

A. Desyatnikov, M. Dennis, and A. Ferrando, Phys. Rev. A 83, 063822 (2011).
[CrossRef]

Dholakia, K.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Fadeyeva, T.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

Fadeyeva, T. A.

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Ferrando, A.

A. Desyatnikov, M. Dennis, and A. Ferrando, Phys. Rev. A 83, 063822 (2011).
[CrossRef]

Fridman, Yu. A.

C. N. Alexeyev, Yu. A. Fridman, and A. N. Alexeyev, Ukr. Fiz. Zh. 46, 43 (2001).

Jeffrey, M. R.

M. V. Berry, M. R. Jeffrey, and M. Mansuripur, J. Opt. A 7, 685 (2005).
[CrossRef]

Karinni, E.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Kudryavtseva, M.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

Mansuripur, M.

M. V. Berry, M. R. Jeffrey, and M. Mansuripur, J. Opt. A 7, 685 (2005).
[CrossRef]

Marrucci, L.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Molina-Terriza, G.

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

Nagali, E.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Orlov, S.

S. Orlov and A. Stabinus, Opt. Commun. 226, 97 (2003).
[CrossRef]

Padgett, M. J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Palma, C.

Piecirillo, B.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Recolons, J.

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

Roux, F. S.

F. S. Roux, South African J. Sci. 102, 601 (2006).

Rubass, A. F.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

Sciarrino, F.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Seshadri, S. R.

Slussarenko, S.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

Sokolenko, B.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

Sokolenko, B. V.

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

Soskin, M.

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

Stabinus, A.

S. Orlov and A. Stabinus, Opt. Commun. 226, 97 (2003).
[CrossRef]

Torner, L.

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

Torres, J.

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

Vasnetsov, M.

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

Volyar, A.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

Volyar, A. V.

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge U. Press, 1999).

J. Opt.

L. Marrucci, E. Karinni, S. Slussarenko, B. Piecirillo, E. Nagali, and F. Sciarrino, J. Opt. 13, 064001 (2011).
[CrossRef]

J. Opt. A

T. A. Fadeyeva, A. F. Rubass, B. V. Sokolenko, and A. V. Volyar, J. Opt. A 11, 094008 (2009).
[CrossRef]

M. V. Berry, M. R. Jeffrey, and M. Mansuripur, J. Opt. A 7, 685 (2005).
[CrossRef]

J. Opt. Soc. Am. A

J. Uks. Phys. Opt.

T. Fadeyeva, C. Alexeyev, B. Sokolenko, M. Kudryavtseva, and A. Volyar, J. Uks. Phys. Opt. 12, 62 (2011).
[CrossRef]

JETP Lett.

A. Bekhshaev, M. Vasnetsov, V. Denisenko, and M. Soskin, JETP Lett. 75, 127 (2002).
[CrossRef]

Opt. Commun.

S. Orlov and A. Stabinus, Opt. Commun. 226, 97 (2003).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Phys. Rev. A

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

A. Desyatnikov, M. Dennis, and A. Ferrando, Phys. Rev. A 83, 063822 (2011).
[CrossRef]

Phys. Rev. Lett.

G. Molina-Terriza, J. Recolons, J. Torres, and L. Torner, Phys. Rev. Lett. 87, 029021 (2001).
[CrossRef]

South African J. Sci.

F. S. Roux, South African J. Sci. 102, 601 (2006).

Ukr. Fiz. Zh.

C. N. Alexeyev, Yu. A. Fridman, and A. N. Alexeyev, Ukr. Fiz. Zh. 46, 43 (2001).

Other

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge U. Press, 1999).

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Figures (3)

Fig. 1
Fig. 1

Sketch of the experimental setup: Z, interferometer; L, lens; PF, polarization filter; D, diaphragm; W, optical wedge; Cr, SiO 2 crystal; C, optical axis direction; 1, 2, 3, 4, intensity distributions of the RHP component.

Fig. 2
Fig. 2

Subwave spikes of the OAM l z ( ± ) in the RHP and LHP components of the vortex beam in the SiO 2 crystal for different ellipticities w y / w x .

Fig. 3
Fig. 3

Vortex trajectories of E + component in vicinity of the conversion process: circles, vortex positions; solid lines, theory; points 1, 2, birth of the vortex dipole; 3, 4, annihilations of vortices; P 0 , beam intensity at the crystal input; P1, P2, P3, intensities at the 1, 2, 4 points, respectively.

Equations (5)

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

E + = E x + E y , E = E x E y ,
E x = ( x w x σ x x + i y w y σ x y ) × exp { x 2 w x 2 σ x x y 2 w y 2 σ x y i k x z } / σ x x σ x y ,
E y = ( x w x σ y x + i y w y σ y y ) × exp { x 2 w x 2 σ y x y 2 w y 2 σ y y i k y z } / σ y x σ y y .
E + x w x cos ( δ ϕ x ) + i y w y cos ( δ ϕ y ) exp ( i δ β z ) ,
l z = l z ( x ) + l z ( y ) = ( w x / w y + w y / w x ) / 2 1 ,

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