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Injection-induced bifurcations of transverse spatiotemporal patterns in semiconductor laser arrays
Phys. Rev. E 52, 1571 – Published 1 August, 1995
DOI: https://doi.org/10.1103/PhysRevE.52.1571
Abstract
We present results of numerical investigations on the complex spatiotemporal dynamics of semiconductor laser arrays. The diffusion of charge carriers turns out to be essential for instabilities in the output intensity above the laser threshold. Besides other bifurcations, a period doubling of a torus is found. The Karhunen-Loeve decomposition gives the dominant modes of the spatiotemporal dynamics of the output intensity and provides a measure of the number of spatiotemporal degrees of freedom.
References (22)
- L. A. Lugiato, F. Prati, L. M. Narducci, P. Ru, J. R. Tredicce and D. K Bandy, Phys. Rev. A 37, 3847 (1988).
- N. B. Abraham and W. J. Firth, J. Opt. Soc. Am. B 7, 951 (1990).
- C. O. Weiss and R. Vilaseca, Dynamics of Lasers, edited by H. G. Schuster (VCH, Weinheim, 1991).
- J. K. Butler, D. E. Ackley and D. Botez, Appl. Phys. Lett. 44, 293 (1984).
- T. L. Paoli, W. Streifer and R. D. Burnham, Appl. Phys. Lett. 45, 217 (1984).
- S. S. Wang and G. H. Winful, Appl. Phys. Lett. 52, 1774 (1988); H. G. Winful and S. S. Wang, ibid. 53, 1894 (1988).
- O. Hess, Spatio Temporal Dynamics of Semiconductor Lasers (Wissenschaft und Technik Verlag, Berlin, 1993).
- H. Adachihara, O. Hess, R. Indik and J. V. Moloney, J. Opt. Soc. Am. B 10, 496 (1993).
- O. Hess and E. Schöll, Physica D 70, 165 (1994).
- L. Rahman and H. G. Winful, Opt. Lett. 18, 128 (1993).
- O. Hess, D. Merbach, H. Herzel and E. Schöll, Phys. Lett. A 194, 289 (1994).
- V. S. Anishchenko, M. A. Safonova, U. Feudel and J. Kurths, Int. J. Bifurcation Chaos 4, 595 (1994).
- K. Kaneko, Prog. Theor. Phys. 69, 1806 (1983).
- V. Franceschini, Physica D 6, 285 (1983).
- M. R. Bassett and J. L. Hudson, Physica D 35, 289 (1989).
- J. M. Flesselles, V. Croquette and S. Jucquois, Phys. Rev. Lett. 72, 2871 (1994).
- A. Arnédo, P. H. Coullet and E. Spiegel, Phys. Lett. A 94, 1 (1983).
- F. Argoul and A. Arneodo, J. Méc. Théor. Appl., numéro spécial 1984, p. 241.
- H. Herzel, K. Krischer, D. Berry, and I. Titze, in Spatio Temporal Patterns in Nonequilibrium Complex Systems, edited by P. E. Cladis and P. Palffy Muhoray (SFI Studies in the Sciences of Complexity, Addison Wesley, 1995).
- L. Sirovich, Physica D 37, 126 (1989).
- M. Caponeri and S. Ciliberto, Physica D 58, 365 (1992).
- O. Hess and E. Schöll, Phys. Rev. A 50, 787 (1994).