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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 2, Iss. 1 — Jan. 1, 1985
  • pp: 148–155

Coexisting attractors in a laser with an injected signal

Donna K. Bandy, Lorenzo M. Narducci, and Luigi A. Lugiato  »View Author Affiliations

JOSA B, Vol. 2, Issue 1, pp. 148-155 (1985)

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We explore some general dynamical properties of a homogeneously broadened ring laser driven by an external coherent signal. By combining the information obtained from time-dependent solutions, their power spectra, Poin-caré surface of sections, and Lyapunov exponents, we provide detailed evidence of the bifurcation structure of a laser with injected signal under high-gain conditions and show the existence of up to three basins of attraction for the same range of operating parameters. We also discuss the behavior of this system for experimentally accessible ranges of the gain and provide evidence for the persistence of a number of interesting pulsation phenomena.

© 1985 Optical Society of America

Donna K. Bandy, Lorenzo M. Narducci, and Luigi A. Lugiato, "Coexisting attractors in a laser with an injected signal," J. Opt. Soc. Am. B 2, 148-155 (1985)

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  1. A. N. Oraevskii, Radio. Electronikkalalo. Tek. Koreakoulu (Kertomus) 4, 718 (1959).
  2. See, for example, J. P. Gordon, Proc. IRE 50, 1898 (1962); A. S. Agabekyan, A. Z. Grazyuk, I. G. Zubarev, A. N. Oraevskii, and V. I. Svergun, Radio. Electronikkalalo. Tek. Koreakoulu (Kertomus) 9, 2156 (1964).
  3. For a brief review of the state of the art in the mid-late 1960's, see N. G. Basov, A. Z. Grazyuk, I. G. Zubarev, and L. V. Tevelev, in Quantum Electronics in Lasers and Masers, D. V. Skobel'tsyn, ed., Proceedings of the Lebedev Institute, Vol. 31 (Consultants Bureau, New York, 1968).
  4. M. B. Spencer and W. E. Lamb, Jr., Phys. Rev. A 5, 884 (1972).
  5. See, for example, U. Ganiel, A. Hardy, and D. Treves, IEEE J. Quantum Electron. QE-12, 704 (1976); R. Flamant and G. Megie, IEEE J. Quantum Electron. QE-16, 653 (1980).
  6. S. Blit, U. Ganiel, and D. Treves, Appl. Phys. 12, 69 (1977); Y. K. Park, G. Giuliani, and R. L. Byer, Opt. Lett. 5, 96 (1980).
  7. L. A. Lugiato, Lett. Nuovo Cimento 23, 609 (1978), and references therein.
  8. T. Yamada and R. Graham, Phys. Lett. 53A, 77 (1975).
  9. M. J. Scholz, T. Yamada, H. Brand, and R. Graham, Phys. Lett. 82A,. 321 (1981).
  10. L. A. Lugiato, L. M. Narducci, D. K. Bandy, and C. A. Pennise, Opt. Commun. 46, 64 (1983).
  11. D. K. Bandy, L. M. Narducci, C. A. Pennise, and L. A. Lugiato, in Coherence and Quantum Optics V, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 585.
  12. F. T. Arecchi, G. Lippi, G. Puccioni, and J. Tredicce, in Coherence and Quantum Optics V, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984, p. 1227).
  13. K. Otsuka and H. Iwamura, Phys. Rev. A 28, 3153 (1983).
  14. P. Mandel, Service de Chimie Physique II, Bruxelles, Belgium (personal communication).
  15. E. Brun, B. Derighetti, D. Meier, R. Holzner, and M. Ravani, J. Opt. Soc. Am. B. 2, 156 (1985).
  16. Y. Gu, D. K. Bandy, J. M. Yuan, and L. M. Narducci, Phys. Rev. A (to be published), and references therein.
  17. All the Lyapunov exponent calculations were carried out in double precision on a Prime 850 computer.

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