Abstract

We propose a novel all-optical, nonlinear mode-conversion scheme based on cascaded three-wave-mixing phase-matched interactions in quadratic nonlinear crystals. We demonstrate the method experimentally by performing all-optical mode conversion of an input 1636nm Hermite–Gaussian mode from the zeroth order to the first order using two periodically poled LiNbO3 crystals. Nonlinear mode conversion of an input beam into a higher order, orthogonally polarized output beam can be realized using only one quasiperiodic nonlinear structure. Moreover, it can be enhanced for conversion of complex modes, e.g., Laguerre–Gaussian or Bessel modes.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
    [CrossRef]
  2. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
    [CrossRef] [PubMed]
  3. L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
    [CrossRef]
  4. A. Ishaaya, N. Davidson, and A. Friesem, Opt. Express 13, 4952 (2005).
    [CrossRef] [PubMed]
  5. J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
    [CrossRef]
  6. P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
    [CrossRef]
  7. K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
    [CrossRef]
  8. A. Bahabad and A. Arie, Opt. Express 15, 17619 (2007).
    [CrossRef] [PubMed]
  9. T. Ellenbogen, A. Arie, and S. M. Saltiel, Opt. Lett. 32, 262 (2007).
    [CrossRef] [PubMed]
  10. S. Saghafi and C. J. R. Sheppard, Opt. Commun. 153, 207 (1998).
    [CrossRef]
  11. K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
    [CrossRef] [PubMed]

2007 (2)

2005 (1)

2002 (1)

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

2001 (2)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

1999 (1)

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

1998 (2)

L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
[CrossRef]

S. Saghafi and C. J. R. Sheppard, Opt. Commun. 153, 207 (1998).
[CrossRef]

1997 (1)

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

1996 (1)

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Allen, L.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Almeida, M. P.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Arie, A.

Bahabad, A.

Caetano, D. P.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Courtial, J.

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

Coutinho dos Santos, B.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Davidson, N.

Dholakia, K.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Ellenbogen, T.

Fradkin-Kashi, K.

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Friesem, A.

Hirano, T.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Huguenin, J. A.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Ishaaya, A.

Khoury, A. Z.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Kuga, T.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Novotny, L.

L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
[CrossRef]

Padgett, M. J.

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Rosenman, G.

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Saghafi, S.

S. Saghafi and C. J. R. Sheppard, Opt. Commun. 153, 207 (1998).
[CrossRef]

Saltiel, S. M.

Sánchez, E. J.

L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
[CrossRef]

Sasada, H.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Sheppard, C. J. R.

S. Saghafi and C. J. R. Sheppard, Opt. Commun. 153, 207 (1998).
[CrossRef]

Shimizu, Y.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Shiokawa, N.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Simpson, N. B.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Souto Ribeiro, P. H.

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

Torii, Y.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Urenski, P.

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Xie, X. S.

L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
[CrossRef]

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Nature (1)

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Nature 412, 313 (2001).
[CrossRef] [PubMed]

Opt. Commun. (2)

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

S. Saghafi and C. J. R. Sheppard, Opt. Commun. 153, 207 (1998).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. A (1)

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, Phys. Rev. A 54, 3742 (1996).
[CrossRef]

Phys. Rev. Lett. (3)

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

P. H. Souto Ribeiro, D. P. Caetano, M. P. Almeida, J. A. Huguenin, B. Coutinho dos Santos, and A. Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001).
[CrossRef]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Ultramicroscopy (1)

L. Novotny, E. J. Sánchez, and X. S. Xie, Ultramicroscopy 71, 21 (1998).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Numerical results for amplitude (dashed curve) and phase profiles (solid curve) of far field outputs for sum frequency of HG 0 + HG 1 . The top inset shows π phase singularity, and the right-hand-side inset shows 2D intensity intersection of the output beam.

Fig. 2
Fig. 2

(a) Nonlinear mode-conversion scheme. (b), (c) Numerical results for beam quality factor M 2 for interactions of beams with different waists for the SFG and DFG processes, respectively ( M 2 = 3 is the theoretical value for an ideal HG 1 beam).

Fig. 3
Fig. 3

Experimental setup for nonlinear mode conversion of the OPO signal output HG 0 ( 1636 nm ) into HG 1 ( 1636 nm ) . BS, beam splitter; BPP, binary phase plate; HPF, high-pass filter; and LPF, low-pass filter.

Fig. 4
Fig. 4

Far field photos of participating beams: (a) and (f) HG 0 signal input and HG 1 converted signal output at 1636 nm , (b) pump HG 1 ( 1047 nm ) for the SFG process, (c) output HG 1 ( 638 nm ) of the SFG process, (d) signal input to the DFG process HG 1 ( 638 nm ) , and (e) pump HG 0 ( 1047 nm ) input to the DFG process.

Equations (2)

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

U m ( x , z ) = A m W 0 W ( z ) G m [ 2 x W ( z ) ] exp [ i k z i k x 2 2 R ( z ) + i ( m + 1 ) ξ ( z ) ] ,
δ E c ( x , z 0 ) = A ( z 0 ) G 1 [ 2 x W ( z 0 ) ] exp [ i ( k a + k b ) z 0 i ( k a 2 R a ( z 0 ) + k b 2 R b ( z 0 ) ) x 2 + 2 i ξ ( z 0 ) ] δ z ,

Metrics