Abstract

Spatial nonlocality has a crucial role in the optical response of bulk liquid crystals. With specific reference to one-dimensional modulation instability, we demonstrate the tuning of transverse nonlocality in the nonlinear response of nematics.

© 2005 Optical Society of America

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References

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  1. M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
    [Crossref]
  2. M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
    [Crossref]
  3. M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
    [Crossref]
  4. M. Peccianti, K. A. Brzd?kiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
    [Crossref]
  5. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
    [Crossref]
  6. A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
    [Crossref]
  7. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [Crossref]
  8. W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
    [Crossref]
  9. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
    [Crossref]
  10. G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [Crossref] [PubMed]
  11. A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
    [Crossref]
  12. J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
    [Crossref]
  13. F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
    [Crossref]
  14. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
    [Crossref]
  15. M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
    [Crossref]
  16. A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
    [Crossref]
  17. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
    [Crossref] [PubMed]
  18. R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
    [Crossref]
  19. R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
    [Crossref] [PubMed]
  20. N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
    [Crossref]
  21. I. C. Khoo, Liquid Crystals:?Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).

2004 (1)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[Crossref]

2003 (2)

M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[Crossref]

2002 (3)

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

M. Peccianti, K. A. Brzd?kiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

2001 (2)

R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
[Crossref]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

2000 (4)

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[Crossref]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

1999 (1)

M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[Crossref]

1998 (1)

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

1997 (2)

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[Crossref]

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

1993 (1)

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

1986 (1)

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[Crossref]

1973 (1)

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[Crossref]

1965 (1)

J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
[Crossref]

Abbate, G.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[Crossref]

Aitchison, J. S.

Anderson, D. Z.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Assanto, G.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[Crossref]

M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

M. Peccianti, K. A. Brzd?kiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[Crossref]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

Bang, O.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[Crossref]

Brzdakiewicz, K. A.

Campillo, A. J.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[Crossref]

Christodoulides, D. N.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

Conti, C.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[Crossref]

M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

Crosignani, B.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

Derrien, F.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

Di Porto, P.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Duree, G. C.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

Fang, H.

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

Gordon, J. P.

J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
[Crossref]

Henninot, F.

M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[Crossref]

Henninot, J. F.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

Jankovic, L.

Karpierz, M.

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

Khoo, I. C.

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

I. C. Khoo, Liquid Crystals:?Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

Krolikowski, W.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[Crossref]

Leite, R. C.

J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
[Crossref]

Malendevich, R.

R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
[Crossref]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

Mamaev, A. V.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Mezentsev, V. K.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Mitchell, D. J.

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[Crossref]

Moore, R. S.

J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
[Crossref]

Neurgaonkar, R. R.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Peccianti, M.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[Crossref]

M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

M. Peccianti, K. A. Brzd?kiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[Crossref]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

Rasmussen, J. J.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

Saffman, M.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Salamo, G. J.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Schiek, R.

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

Schultz, J. L.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Segev, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Shapiro, S. L.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[Crossref]

Sharp, E. J.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Sierakowski, M.

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

Snyder, A. W.

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[Crossref]

Soljacic, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

Stegeman, G.

Stegeman, G. I.

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

Sukhov, A. V.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[Crossref]

Suydam, B. R.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[Crossref]

Swillo, M.

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

Tabyrian, N. V.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[Crossref]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

Warenghem, M.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[Crossref]

Wolinski, T.

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

Wyller, J.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

Yariv, A.

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

Zel’dovich, B. Ya.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[Crossref]

Zozulya, A. A.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Appl. Phys. Lett. (3)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[Crossref]

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[Crossref]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[Crossref]

J. Appl. Phys. (1)

J. P. Gordon, R. C. Leite, and R. S. Moore, J. Appl. Phys. 36, 3 (1965).
[Crossref]

J. Nonlinear Opt. Phys. Mater. (1)

M. Warenghem, F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[Crossref]

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

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A Pure Appl. Opt. 2, 332 (2000).
[Crossref]

Mol. Cryst. Liq. Cryst. (2)

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[Crossref]

M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[Crossref]

Opt. Lett. (2)

Phys. Rev. A (1)

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[Crossref]

Phys. Rev. E (3)

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[Crossref]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[Crossref]

M. Peccianti, C. Conti, and G. Assanto, Phys. Rev. E 68, R025602 (2003).
[Crossref]

Phys. Rev. Lett. (4)

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, Phys. Rev. Lett. 86, 4528 (2001).
[Crossref] [PubMed]

G. C. Duree, J. L. Schultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[Crossref] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[Crossref]

Science (2)

A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
[Crossref]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[Crossref] [PubMed]

Other (1)

I. C. Khoo, Liquid Crystals:?Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).

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Figures (4)

Fig. 1
Fig. 1

(A) Calculated cutoff wave number KY ̲Cut and (B) equivalent Kerr coefficient n2 and reorientation angle θ0 versus bias V for a 75µm-thick NLC cell with E7, as sketched in the inset in (A). Solid curves are exact numerical calculations; dashed curves are derived from approximate expressions (see text).

Fig. 2
Fig. 2

Propagation of a highly elliptical beam for P=150 mW. (A) Near threshold (V=0.85 V), MI occurs with highly visible nonlocally driven self-focusing. (B) At high bias (V=1.70 V), MI tends to become local, and no appreciable interaction between filaments is visible.

Fig. 3
Fig. 3

Normalized transverse intensity spectra at various propagation distances (100, 200, and 600 µm) and biases (V=0.85,1.41,2.12 V) for P=50 and 200 mW. At V=0.85 V the response is highly nonlocal: The MI sideband is spectrally limited by nonlocal filtering. As the bias is increased, the nonlinearity is reduced but the MI extends to higher wave numbers (local limit).

Fig. 4
Fig. 4

(A) Measured center of mass GKY and (B) total power of the MI spectrum versus bias at Z=600 µm for various excitations (50, 100, 150, and 200 mW). Because of the interplay between nonlocality and nonlinearity, GKY and the MI power shift to higher wave numbers until a reduced Kerr response (n2) limits the energy transfer. The hatched regions indicate the locations of the maxima as calculated from the model.

Equations (4)

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

K2Ψ-ΔϵRFERF2sin2θ02θ01-γ0Ψ+ϵ0na2A24sin2θ0=0,
2ikAZ+2A+k02na2 sin2θ0ΨA=0,
KY ̲Cut=C2K=12Kθ0ΔϵRFERF2 sin2θ0×1-2θ0 cot2θ01/2.
n2=na2 sin2θ0C1C2=na2θ0ϵ0 sin2θ02ΔϵRFERF21-2θ0 cot2θ0.

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