基于平坦度的半导体激光器预补偿
Flatness-based pre-compensation of laser diodes
摘要：
研究了半导体激光器的物理非线性动力学模型。我们提出了一种基于差分平坦度的前馈控制方案，用于设计输入电流调制以补偿二极管失真。目标是将射频电流调制无失真地转换为离开激光二极管并进入光纤的光调制。我们证明了基于动态电子和光子平衡的标准物理动力学模型是平坦的系统，当电流被认为是控制输入，平坦的输出是光子数（正比于光功率）。我们证明了输入电流是一个仿射映射的平坦的输出，它的对数和它们的时间导数到二阶。当平坦输出是具有缓慢变化的幅度和相位的几乎谐波信号时，这些导数允许精确的解析近似。然后，可以设计简单的模拟电子电路来编码我们基于平坦性的方法所需的非线性计算的近似值。与商业二极管的参数的仿真说明了这种预补偿方案的实际利益，其鲁棒性与建模和模拟实现误差。
英文摘要：
A physical nonlinear dynamical model of a laser diode is considered. We propose a feed-forward control scheme based on differential flatness for the design of input-current modulations to compensate diode distortions. The goal is to transform without distortion a radio-frequency current modulation into a light modulation leaving the laser-diode and entering an optic fiber. We prove that standard physical dynamical models based on dynamical electron and photons balance are flat systems when the current is considered as control input, the flat output being the photon number (proportional to the light power). We prove that input-current is an affine map of the flat output, its logarithm and their time-derivatives up to order two. When the flat output is an almost harmonic signal with slowly varying amplitude and phase, these derivatives admit precise analytic approximations. It is then possible to design simple analogue electronic circuits to code approximations of the nonlinear computations required by our flatness-based approach. Simulations with the parameters of a commercial diode illustrate the practical interest of this pre-compensation scheme and its robustness versus modelling and analogue implementation errors.
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