Multi-Parameter Universal Route to Chaos in Nonlinear Resonators: Observation of Period-Doubling in Ammonia Gas
The ever increasing interest in chaos and related phenomena in the context of optical bistability1, has emerged from the predictions by Ikeda and Ikeda et al2 and subsequent observations by Gibbs et al3 in a hybrid system. As Ikeda et al treated systems with a delayed feedback, e.g. a ring cavity, it seemed an ‘open question’ the existence of chaos in a Fabry-Perot cavity. Firth4 was the first to show that a standing-wave resonator containing a cubic non-linearity with relaxation time τ = 0, exhibited Ikeda-type instabilities; Firth’s calculations were extended by Abraham et al5 to the case where τ≠ 0 and strong diffusion (to obliterate standing-wave effects).
Unable to display preview. Download preview PDF.
- 2.K. Ikeda, Opt. Comm. 30, 257 (1979); K. Ikeda, H. Daido andGoogle Scholar
- 5.E. Abraham, W.J. Firth and J. Carr, Phys. Lett. 91A, 47 (1982); E. Abraham and W.J. Firth, Optica Acta (to appear).Google Scholar
- 6.R.G. Harrison, C.A. Emshary and I.A. Al-Saidi, in Optical Bistability ed. C. Bowden (Plenum, New York) to appear.Google Scholar