论文标题

部分可观测时空混沌系统的无模型预测

Adiabatic Floquet-Wave Solutions of Temporally Modulated Anisotropic Leaky-Wave Holograms

论文作者

Amini, Amrollah, Oraizi, Homayoon, Movahediqomi, Mostafa, Moeini, Mohammad Moein

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

In this paper, the aperture field estimation technique and generalized adiabatic Floquet-wave expansion method is developed for two-dimensional temporally modulated anisotropic holograms. The determinant equations for propagation eigenstates in the presence of space-time modulation are obtained, and the behaviors of the corresponding dispersion curves are investigated. Injecting temporal modulation causes asymmetrical displacement of the dispersion curve, which is studied in detail in this paper. The consequence of temporal modulation is the Doppler-shift effect and nonreciprocal response observed in these structures. Results show that its nonreciprocity can be controlled by varying the modulation frequency injected to the hologram. The proposed method significantly expands the range of applications of leaky-wave holograms. The main advantage of leaky-type modulated metasurfaces over the transmissive/reflective counterparts is their non-protruding feeds making them suitable for integrated structures. As an example, a nonreciprocal circularly polarized hologram is designed. Tensorial impedance surface is exploited to achieve high polarization purity.

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