Abstract

We present an experimental study of thermally induced self-focusing effects and interactions of incoherent light beams in strontium barium niobate waveguides. Depending on the input power, a single parallel beam is strongly focused inside the sample up to diameters of several micrometers. For higher input power we observe the splitting of the beam in a sequence of several spots. We demonstrate that these thermally induced refractive-index patterns can be used to focus and deflect an incoherent guided probe beam in the waveguide with time constants below 1  ms.

© 1998 Optical Society of America

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  1. G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
    [CrossRef] [PubMed]
  2. M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
    [CrossRef]
  3. G. Duree, J. L. Schultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, and R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [CrossRef] [PubMed]
  4. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  5. M. Horrowitz, R. Daisy, O. Werner, and B. Fischer, Opt. Lett. 17, 475 (1992).
    [CrossRef]
  6. M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, and S. Stepanov, Opt. Lett. 21, 1622 (1996).
    [CrossRef]
  7. A. Barthelemy, C. Froehly, S. Maneuf, and F. Reynaud, Opt. Lett. 17, 844 (1992).
    [CrossRef]
  8. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
    [CrossRef] [PubMed]
  9. D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
    [CrossRef]
  10. D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
    [CrossRef]
  11. Z. Chen, M. Segev, S. R. Singh, T. H. Coskun, and D. N. Christodoulides, J. Opt. Soc. Am. B 14, 1407 (1997).
    [CrossRef]
  12. M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
    [CrossRef]
  13. H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
    [CrossRef] [PubMed]
  14. W. Krolikowski and S. A. Holmstrom, Opt. Lett. 22, 369 (1997).
    [CrossRef]
  15. E. D. Eugenieva, R. V. Roussev, and S. G. Dinev, J. Mod. Opt. 44, 1127 (1997).
    [CrossRef]
  16. K. Buse, R. Pankrath, and E. Krätzig, Opt. Lett. 19, 260 (1994).
    [CrossRef] [PubMed]

1997 (5)

1996 (1)

1995 (2)

D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995).
[CrossRef]

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

1994 (3)

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

K. Buse, R. Pankrath, and E. Krätzig, Opt. Lett. 19, 260 (1994).
[CrossRef] [PubMed]

1993 (1)

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

1992 (3)

1991 (1)

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Andersen, D. R.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Barthelemy, A.

Buse, K.

Carvalho, M. I.

Chen, Z.

Christodoulides, D. N.

Coskun, T. H.

Crosignani, B.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Daisy, R.

Dinev, S. G.

E. D. Eugenieva, R. V. Roussev, and S. G. Dinev, J. Mod. Opt. 44, 1127 (1997).
[CrossRef]

DiPorto, P.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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

Duree, G.

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

Eugenieva, E. D.

E. D. Eugenieva, R. V. Roussev, and S. G. Dinev, J. Mod. Opt. 44, 1127 (1997).
[CrossRef]

Fischer, B.

M. Horrowitz, R. Daisy, O. Werner, and B. Fischer, Opt. Lett. 17, 475 (1992).
[CrossRef]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Froehly, C.

Holmstrom, S. A.

Horrowitz, M.

Iturbe-Castillo, M. D.

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, and S. Stepanov, Opt. Lett. 21, 1622 (1996).
[CrossRef]

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Kaplan, A. E.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Kemper, B.

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

Kip, D.

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

Krätzig, E.

Krolikowski, W.

Maneuf, S.

Marquez-Aguilar, P. A.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Meng, H.

Moretti, P.

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

Nee, I.

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

Neurgaonkar, R.

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

Pankrath, R.

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

K. Buse, R. Pankrath, and E. Krätzig, Opt. Lett. 19, 260 (1994).
[CrossRef] [PubMed]

Regan, J. J.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Reynaud, F.

Roussev, R. V.

E. D. Eugenieva, R. V. Roussev, and S. G. Dinev, J. Mod. Opt. 44, 1127 (1997).
[CrossRef]

Salamo, G.

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

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

Sánchez-Mondragón, J. J.

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, and S. Stepanov, Opt. Lett. 21, 1622 (1996).
[CrossRef]

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Schultz, J. L.

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

Segev, M.

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

Z. Chen, M. Segev, S. R. Singh, T. H. Coskun, and D. N. Christodoulides, J. Opt. Soc. Am. B 14, 1407 (1997).
[CrossRef]

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Sharp, E.

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

Shih, M.

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

Singh, S. R.

Stepanov, S.

M. D. Iturbe-Castillo, J. J. Sánchez-Mondragón, and S. Stepanov, Opt. Lett. 21, 1622 (1996).
[CrossRef]

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Swartzlander, G. A.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Valley, G. C.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

Vysloukh, V.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Werner, O.

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

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

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Yin, H.

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Appl. Phys. B (1)

D. Kip, B. Kemper, I. Nee, R. Pankrath, and P. Moretti, Appl. Phys. B 65, 511 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sánchez-Mondragón, S. Stepanov, and V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Electron. Lett. (1)

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, and P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

J. Mod. Opt. (1)

E. D. Eugenieva, R. V. Roussev, and S. G. Dinev, J. Mod. Opt. 44, 1127 (1997).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (6)

Phys. Rev. Lett. (4)

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

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

G. A. Swartzlander, D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the experimental setup: M’s mirrors; BS’s, beam splitters; CH, mechanical chopper; CL, cylindrical lens; ML’s, microscope lenses; WG, SBN waveguide; PD, photodetector; AP, aperture; CCD, CCD camera.

Fig. 2
Fig. 2

Light power in the center of the outcoupled beam as a function of cw input power.

Fig. 3
Fig. 3

Light intensity pattern coupled out of the end face of the waveguide for several cw input powers (in milliwatts): a, 0.1; b, 4.7; c, 12.0; d, 14.5; e, 15.5; f, 19.5.

Fig. 4
Fig. 4

Temporal evolution of the power in the center of the outcoupled light beam for several pulsed input powers (in milliwatts): a, 2.0; b, 3.9; c, 5.0; d, 14.1.

Fig. 5
Fig. 5

Intensity distribution of the red probe beam on the exit face of the waveguide for high (10-mW, dashed curve) and low (1  mW, solid curve) cw input powers of the green pump beam. The red probe beam propagates under a small angle with respect to the green pump beam, intersecting it in the first half of the sample.

Equations (3)

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Δntoz=δneδTΔTz,
Δnpyroz=ne3r332330δPsδTΔTzFz,
Fz=σd/σph0Iz+σd.

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