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Optics Letters

Optics Letters


  • Vol. 23, Iss. 1 — Jan. 1, 1998
  • pp: 4–6

Beam splitting on weak illumination

Allan W. Snyder, Alexander V. Buryak, and D. John Mitchell  »View Author Affiliations

Optics Letters, Vol. 23, Issue 1, pp. 4-6 (1998)

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We demonstrate, in both two and three dimensions, how a self-guided beam in a non-Kerr medium is split into two beams on weak illumination. We also provide an elegant physical explanation that predicts the universal character of the observed phenomenon. Possible applications of our findings to guiding light with light are also discussed.

© 1998 Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(230.1360) Optical devices : Beam splitters

Allan W. Snyder, Alexander V. Buryak, and D. John Mitchell, "Beam splitting on weak illumination," Opt. Lett. 23, 4-6 (1998)

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  1. A. W. Snyder, L. Poladian, and D. J. Mitchell, presented at the Fifteenth Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990; A. W. Synder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 21 (1991) ; L. Poladian, A. W. Snyder, and D. J. Mitchell, Opt. Commun. 85, 59 (1991); T. Thwaites, New Sci. 129 (1751), 14 (1991).
  2. A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 21 (1991).
  3. Y. Silberberg, in Experiments and Advances in Integrated Optics, S. Martilucci, A. N. Chester, M. Bertolotti, eds. (Plenum, New York, 1994), pp. 103–111.
  4. A. W. Snyder and A. P. Sheppard, Opt. Lett. 18, 482 (1992). This Letter also presented a qualitative theory of soliton collisions that describes whether solitons fuse or give birth to new solitons.
  5. M. Segev, M. Shih, and G. Salamo, Phys. Rev. Lett. 78, 2551 (1997).
  6. V. Tikhonenko, J. Christou, and B. Luther-Davies, Phys. Rev. Lett. 76, 2698 (1996); W. Królikowski and S. A. Holmstrom, Opt. Lett. 22, 369 (1997).
  7. A. V. Buryak and N. N. Akhmediev, Phys. Rev. E 50, 3126 (1994).
  8. A. W. Snyder and D. J. Mitchell, Opt. Lett. 22, 16 (1997).
  9. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1981).
  10. It might be surprising that the weak beam in Fig. 2 does not diffract. We deliberately chose the radius of the weak beam to be that necessary for self-guidance in the log-nonlinearity medium. For this special type of nonlinearity stationary self-guidance occurs at only one radius, independent of beam intensity.
  11. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
  12. E. A. Golovchenko, E. M. Dianov, A. M. Prokhorov, and V. N. Serkin, JETP Lett. 42, 87 (1985) Pis’ma Zh. Eksp. Teor. Fiz. 42, 74 (1985).
  13. V. V. Afanasjev, J. S. Aitchison, and Yu. S. Kivshar, Opt. Commun. 116, 331 (1995).
  14. D. Burak, J. Opt. Soc. Am. B 13, 613 (1996); D. Burak and R. Binder, J. Opt. Soc. Am. B 14, 1458 (1997).

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