MAXWELL-BLOCH TURBULENCE
MAXWELL-BLOCH TURBULENCE
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DOI：
10.1143/ptps.99.295
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发表时间：
1989-01-01
影响因子：
--
通讯作者：
MATSUMOTO, K
中科院分区：
文献类型：
--
作者：
IKEDA, K;OTSUKA, K;MATSUMOTO, K
本文详细研究了在大量腔模情况下，描述光在有源谐振介质中传播的经典模型Maxwell-Bloch（M-B）方程的湍流态。M-B系统具有对应于多模激光振荡的湍流解。在良好腔条件下，利用波数域信息论表征方法，详细研究了湍流解的性质。阐明了湍流扰动携带的信息网络在波数域是如何形成的。湍流扰动产生在相对较窄的波数区域，我们称之为拉比混沌带，并向波数空间中的其他区域传播。这样，波数空间就被分为两个域，即吸引子内部和吸引子外部。信息论分析进一步揭示了共振波数区与拉比混沌带在一个比混沌运动时间尺度长得多的时间尺度上动态相关。这种相关的运动是负责在共振区的大部分光子能量分布的缓慢的动力学。特别是两个典型的动力学现象，即，在多模激光振荡中经常观察到的模式分配噪声和模式跳跃是在谐振区中自感生的。跳模是在具有简单拓扑特征的局部吸引子废墟中的混沌巡游。结果表明，谐振区和拉比混沌带之间的相互作用产生了一个非常巧妙的机制，使拓扑特性的变化，从而诱导模式跳跃。
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.