电子等离子体产生的非线性透明介质中的Laser动力学：电子-空穴辐射复合的影响
Laser dynamics in nonlinear transparent media with electron plasma generation: effects of electron-hole radiative recombinations
摘要：
通过激光微加工在非线性透明材料上制造的光学器件的性能通常依赖于三个主要因素：特征激光参数（即激光功率、脉冲持续时间和脉冲重复率）、主体材料的特征性质（例如它们的色散、光学非线性或自聚焦特性等）、光学特性（例如它们的光学特性）、光学特性（例如它们的光学特性）和光学特性（例如它们的光学特性）。以及雪崩碰撞电离、多光子电离和电子-空穴辐射复合等物理过程的相对重要性。这些因素共同作用以施加激光操作的机制，特别是它们的竞争决定了适当的激光操作机制。本文从理论上研究了多光子吸收、等离子体电离和电子-空穴辐射复合过程之间的竞争对具有克尔非线性透明材料中激光动力学的影响。该研究依赖于一个模型组成的K阶非线性复杂的Ginzburg-Landau方程，耦合到一阶方程描述的电子等离子体密度的时间变化。连续波的稳定性分析，调制不稳定性的方法，揭示了多光子吸收和电子-空穴辐射复合过程的组合可以是有害的或有利的连续波操作，这取决于主机介质的群速度色散。数值模拟的模型方程在全非线性制度，揭示了脉冲串的振幅增强的辐射复合过程的存在。诱导的电子等离子体的密度的数值结果功能两个不同的制度的时间演化，取决于电子-空穴辐射复合过程的强度。
英文摘要：
The performance of optical devices manufactured via laser micromachining on nonlinear transparent materials, relies usually on three main factors which are the characteristic laser parameters (i.e. the laser power, pulse duration and pulse repetition rate), characteristic properties of host materials (e.g. their chromatic dispersions, optical nonlinearities or self-focusing features, etc.) and the relative importance of physical processes such as the avalanche impact ionization, multiphoton ionization and electron-hole radiative recombination processes. These factors act in conjunction to impose the regime of laser operation, in particular their competition determines the appropriate laser operation regime. In this work a theoretical study is proposed to explore the effects of the competition between multiphoton absorption, plasma ionization and electron-hole radiative recombination processes, on the laser dynamics in transparent materials with Kerr nonlinearity. The study rests on a model consisting of a K-order nonlinear complex Ginzburg-Landau equation, coupled to a first-order equation describing time variation of the electron plasma density. An analysis of stability of continuous waves, following the modulational-instability approach, reveals that the combination of multiphoton absorption and electron-hole radiative recombination processes can be detrimental or favorable to continuous-wave operation, depending on the group-velocity dispersion of the host medium. Numerical simulations of the model equations in the full nonlinear regime, reveal the eixstence of pulse trains the amplitudes of which are enhanced by the radiative recombination processes. Numerical results for the density of the induced electron plasma feature two distinct regimes of time evolution, depending on the strength of the electron-hole radiative recombination processes.
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