Abstract

Numerical simulations show that channel waveguides can be self-written in photosensitive materials. As the waveguide evolves, its shape remains approximately constant, even though its depth and width change. We find an exact solution that describes this evolution, which we show to be self-similar. A wide variety of single-peaked beams form waveguides that converge to this solution.

© 1998 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. S. Kewitsch and A. Yariv, Opt. Lett. 21, 24 (1996).
    [CrossRef] [PubMed]
  2. S. J. Frisken, Opt. Lett. 18, 1035 (1993).
    [CrossRef]
  3. T. M. Monro, C. M. de Sterke, and L. Poladian, J. Opt. Soc. Am. B 13, 2824 (1996).
    [CrossRef]
  4. T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
    [CrossRef]
  5. G. W. Blumen and J. D. Cole, Similarity Methods for Differential Equations (Springer-Verlag, New York, 1974).
  6. S. An and J. E. Sipe, Opt. Lett. 16, 1478 (1991).
    [CrossRef] [PubMed]
  7. S. V. Manakov, Zh. Eksp. Teor. Fiz. 83, 68 (1982).
  8. C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
    [CrossRef] [PubMed]
  9. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap.??16.
  10. J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. E. Smith, Opt. Lett. 16, 15 (1991).
    [CrossRef] [PubMed]

1998 (1)

T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
[CrossRef]

1996 (2)

1993 (1)

1992 (1)

C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
[CrossRef] [PubMed]

1991 (2)

1982 (1)

S. V. Manakov, Zh. Eksp. Teor. Fiz. 83, 68 (1982).

Aitchison, J. S.

An, S.

Blumen, G. W.

G. W. Blumen and J. D. Cole, Similarity Methods for Differential Equations (Springer-Verlag, New York, 1974).

Cole, J. D.

G. W. Blumen and J. D. Cole, Similarity Methods for Differential Equations (Springer-Verlag, New York, 1974).

de Sterke, C. M.

T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
[CrossRef]

T. M. Monro, C. M. de Sterke, and L. Poladian, J. Opt. Soc. Am. B 13, 2824 (1996).
[CrossRef]

Frisken, S. J.

Jackel, J. L.

Kewitsch, A. S.

Leaird, D. E.

Levi, D.

C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
[CrossRef] [PubMed]

Manakov, S. V.

S. V. Manakov, Zh. Eksp. Teor. Fiz. 83, 68 (1982).

Menyuk, C. R.

C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
[CrossRef] [PubMed]

Monro, T. M.

T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
[CrossRef]

T. M. Monro, C. M. de Sterke, and L. Poladian, J. Opt. Soc. Am. B 13, 2824 (1996).
[CrossRef]

Oliver, M. K.

Poladian, L.

T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
[CrossRef]

T. M. Monro, C. M. de Sterke, and L. Poladian, J. Opt. Soc. Am. B 13, 2824 (1996).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap.??16.

Silberberg, Y.

Sipe, J. E.

Smith, P. W. E.

Weiner, A. M.

Winternitz, P.

C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
[CrossRef] [PubMed]

Yariv, A.

J. Opt. Soc. Am. B (1)

Opt. Lett. (4)

Phys. Rev. E (1)

T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
[CrossRef] [PubMed]

Zh. Eksp. Teor. Fiz. (1)

S. V. Manakov, Zh. Eksp. Teor. Fiz. 83, 68 (1982).

Other (2)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap.??16.

G. W. Blumen and J. D. Cole, Similarity Methods for Differential Equations (Springer-Verlag, New York, 1974).

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.


Metrics