A continuum model of the dynamics of coupled oscillator arrays for phase-shifterless beam scanning
A continuum model of the dynamics of coupled oscillator arrays for phase-shifterless beam scanning
复制标题
无移相器光束扫描耦合振荡器阵列动力学的连续模型
DOI：
10.1109/22.754880
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
R. York
中科院分区：
文献类型：
--
作者：
R. Pogorzelski;P. Maccarini;R. York
耦合振荡器的阵列的行为先前已经研究了一组非线性微分方程的计算解决方案，描述了每个振荡器的时间依赖性的存在下，从相邻的振荡器耦合的信号。这些方程足够复杂，因为对所产生的现象的直观理解是极其困难的。我们提出了一个简化的理论，这样的阵列中的振荡器信号的相对相位表示由一个连续的函数定义的阵列。该函数满足扩散型线性偏微分方程，其可以经由拉普拉斯变换来求解。该理论被用来研究振荡器的线性阵列的动态行为，其结果时，端部振荡器失谐，以实现所需的相位分布，用于引导由这样的阵列辐射的波束。
The behavior of arrays of coupled oscillators has been previously studied by computational solution of a set of nonlinear differential equations describing the time dependence of each oscillator in the presence of signals coupled from neighboring oscillators. The equations are sufficiently complicated in that intuitive understanding of the phenomena which arise is exceedingly difficult. We propose a simplified theory of such arrays in which the relative phases of the oscillator signals are represented by a continuous function defined over the array. This function satisfies a linear partial differential equation of diffusion type, which may be solved via the Laplace transform. This theory is used to study the dynamic behavior of a linear array of oscillators, which results when the end oscillators are detuned to achieve the phase distribution required for steering a beam radiated by such an array.