Prog. Theor. Phys. Supplement No.99 (1989) pp. 295-324
Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*NTT Basic Research Laboratories, Musashino, Tokyo 180
**Faculty of Pharmaceutical Sciences, Hokkaido University, Sapporo 060
Turbulent state of the Maxwell-Bloch (M-B) equation, a classical model describing propagation of light through active resonant medium, is investigated in detail for a large number of cavity modes. The M-B system has turbulent solutions corresponding to the multi-mode laser oscillation. Confining ourselves to the good cavity case, the nature of the turbulent solution is studied in detail with use of the method of information theoretical characterization in the wave-number domain. Howe the networks of information carried by turbulent disturbances are formed in the wave-number domain is clarified. Turbulent disturbances are generated in relatively narrow wave-number regions which we call the Rabi chaotic bands and propagate towards various other regions in the wave-number space. In this way the wave-number space is classified into two domains, that is, the attractor interior and the attractor exterior. The information theoretical analysis further reveals that the resonant wave-number region is dynamically correlated with the Rabi chaotic bands on a time scale much longer than that of chaotic motion. Such a correlated motion is responsible for the slow dynamics in the resonant region to which most of photon energy is distributed. In particular two typical dynamical phenomena, i.e., the mode partition noise and the mode hopping often observed in multi-mode laser oscillation are self-induced in the resonant region. The mode hopping is a `chaotic itinerancy' among the ruins of local attractors with simple topological characteristics. It is shown that the interplay between the resonant region and the Rabi chaotic bands yields a quite ingenious mechanism which enables the topological characteristic to change and thereby induces the mode hopping.
DOI : 10.1143/PTPS.99.295
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