Abstract
Experiments are described which verify the basic principles of regenerative pulsations and the Ikeda instability. The regenerative pulsations of an intrinsic optical bistable device resemble those we obtain from a noise-free computer simulation. The agreement improves when the pulsation frequency is much lower than that of the laser noise. Bifurcations up to period-8 and various paths to chaos are seen in a hybrid optical experiment, consistent with the theoretical predictions including real noise levels. A test for distinguishing a chaotic system from one that is simply noisy is outlined. Finally, we describe the apparent observation of instabilities and chaos in an intrinsic cavity-less bistable device.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S.L. McCall: Appl. Phys. Lett. 32, 285 (1978)
J.L. Jewell, H.M. Gibbs, S.S. Tarng, A.C. Gossard, W. Wiegmann: Appl. Phys. Lett. 40, 291 (1982)
H.M. Gibbs, S.L. McCall, T.N.C. Venkatesan, A.C. Gossard, A. Passner, W. Wieg- mann:CLEA 1979; Appl. Phys. Lett. 35, 451 (1979);
H. Walther, K.W. Rothe (eds.): Laser Spectroscopy IV, Springer Ser. Opt. Sci., Vol. 21 (Springer, Berlin, Heidelberg 1979) p. 441
M.D. Sturge: Phys. Rev. 127, 768 (1962)
Predicted in R. Bonifacio, L.A. Lugiato: Lett. Nuovo Cimento 21, 510 (1978)
K. Ikeda: Opt. Commun. 30, 257 (1979)
K. Ikeda, H. Diado, O. Akimoto: Phys. Rev. Lett. 45, 709 (1980)
H.M. Gibbs, F.A. Hopf, D.L. Kaplan, R.L. Shoemaker: Phys. Rev. Lett. 46, 474 (1981)
F.A. Hopf, D.L. Kaplan, H.M. Gibbs, R.L. Shoemaker: Phys. Rev. A25, 2172 (1982). Throughout the present chapter we simplify the discussion by taking the period to be precisely a multiple of t R. The real period is always somewhat longer, and its magnitude is discussed here [8.8].
M.W. Derstine, H.M. Gibbs, F.A. Hopf, D.L. Kaplan: Phys. Rev. A (Rapid commun.) 26, 3720 (1982)
E.N. Lorenz: J. Atmos. Sci. 20, 130 (1963)
M.J. Feigenbaum: Los Alamos Science 1, 4 (1980)
PS. Lindsay: Phys. Rev. Lett. 47, 1349 (1981);
J. Testa, J. Perez, C. Jeffries: Phys. Rev. Lett. 48, 714 (1982)
J.P. Crutchfield, B.A. Huberman: Phys. Lett. 77A, 407 (1980)
W. Lauterborn, E. Cramer: Phys. Rev. Lett. 47, 1445 (1981);
J. Chrostowski: Phys. Rev. A26, 3023 (1982);
R.W. Rollins, E.R. Hunt: Phys. Rev. Lett. 49, 1295 (1982)
J.P. Gollub, S.V. Benson: J. Fluid Mech. 100, 449 (1980);
H.L. Swinney, J.P. Gollub (eds.): Hydrodynamic Instabilities and the Transition to Turbulence, 2nd ed., Topics Appl. Phys., Vol. 45 (Springer, Berlin, Heidelberg 1985)
S.N. Chow: Talk presented at the workshop on Coupled Nonlinear Oscillators, Los Alamos, NM (1981)
M.W. Derstine, H.M. Gibbs, F.A. Hopf, D.L. Kaplan: Phys. Rev. A26, 3720 (1982)
K. Ikeda, K. Kondo, O. Akimoto: Phys.Rev. Lett. 49, 1467 (1982)
E. Ott, J. York: Phys. Rev. Lett. 48, 1507 (1982)
A. Brandstater, J. Swift, H.L. Swinney, A. Wolf, J.D. Farmer, E. Jen, J.P. Crutchfield: Phys. Rev. Lett. 51, 1442 (1982);
P. Grassberger, I. Procaccia: Phys. Rev. Lett. 50, 346 (1983);
P. Grassberger, I. Procaccia: Phys. Rev. A28, 2591 (1983)
M.W. Derstine, H.M. Gibbs, F.A. Hopf, L.D. Sanders: J. Opt. Soc. Am. B1, 464 (1984) and Phys. Rev. Lett., submitted
D. Ruelle, F. Takens: Commun. Math. Phys. 20, 167 (1971)
R. Shaw: Z. Naturforsch. 36A, 80 (1981);
J.D. Farmer: Physica 4D, 566 (1982);
J.P. Crutchfield: In Evolution of Order and Chaos, ed. by H. Haken, Springer Ser. Syn., Vol. 17 (Springer, Berlin, Heidelberg 1982) p. 215
L.T. Arecchi, R. Meucci, G. Puccioni, J. Tredicce: Phys. Rev. Lett. 49, 1217 (1982)
N.B. Abraham, M.D. Coleman, M. Maeda, J.C. Wesson: App. Phys. B28, 169 (1982)
M. Maeda, N.B. Abraham: Phys. Rev. A20, 3395 (1982)
F.A. Hopf, M.W. Derstine, H.M. Gibbs, M.C. Rushford: In Optical Bistability II, ed. by C.M. Bowden, H.M. Gibbs, and S.L. McCall (Plenum, New York 1984) p. 68
H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, M. Matsuoka: Phys. Rev. Lett. 50, 109 (1983)
R.G. Harrison, W.S. Firth, C.A. Emshary, I.A. Al-Saidi: Phys. Rev. Lett. 51, 562 (1983)
R.G. Harrison, W.S. Firth, I.A. Al-Saidi: Phys. Rev. Lett. 53, 258 (1984)
J.E. Bjorkholm, P.W. Smith, W.J. Tomlinson, A.E. Kaplan: Opt. Lett. 6, 345 (1981). Our experiment differs from the device described t here only by the location of the pinhole. The pinhole in our device is located before the detector rather than between the mirror and the sodium cell.
H.G. Winful, G. Cooperman: Appl. Phys. Lett. 40, 29 (1982)
K. Ikeda, O. Akimoto: Phys. Rev. Lett. 48, 617 (1982);
Y. Silberberg, I. Bar Joseph: Phys. Rev. Lett. 48, 1541 (1982);
J.A. Goldstone, E.A. Garmire: IEEE J. QE-19, 208 (1983)
M. LeBerre, E. Ressayre, A. Tallet, K. Tai, F.A. Hopf, H.M. Gibbs, J.V. Moloney: Postdeadliine Paper PDD5, IQEC (1984); and in preparation
N.B. Abraham: Laser Focus, 73 (May 1983). For a overview of chaos in a variety of systems see N.B. Abraham, J.P. Gollub, Harry L. Swinney: Physica 11D, 252 (1984)
R.S. Gioggia, A. Albano, R.M. Searle, T. Chyba, N.B. Abraham: J. Opt. Soc. Am. B1, 499 (1984)
R.G. Harrison, D.J. Biswas: Prog. Quantum Electron. 10, 147 (1985)
J.R. Ackerhalt, P.W. Milonni, M.L. Smith: Phys. Rep. 128, 205 (1985)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Derstine, M.W. et al. (1987). Experimental Verification of Regenerative Pulsations and Chaos. In: Arecchi, F.T., Harrison, R.G. (eds) Instabilities and Chaos in Quantum Optics. Springer Series in Synergetics, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71708-6_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-71708-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71710-9
Online ISBN: 978-3-642-71708-6
eBook Packages: Springer Book Archive