Modeling the Dynamics and Interaction of Photonic Nanowire Lasers

该项目的目的是双重的：我们将通过解决与光子纳米线的光学实验相关的数值和理论问题来支持研究小组成员。进一步，我们将开发新的模型来分析阵列中倏逝耦合光子线的相互作用和动力学。我们对研究小组的支持将基于我们在光学和纳米光学系统分析和建模方面的专业知识。这包括对导模场结构和导线末端反射器效率的数值模拟。在此基础上，我们将计算单个导线的吸收以及导线谐振器的Q和Purcell因子。我们将把光物质相互作用和电流动力学纳入我们的数值模拟，并将开发一个简化的光子线激光器模型，以了解其动力学和非线性响应。同时，我们将研究耦合纳米线束的光学响应及其在太阳能电池中吸收光的能力。进一步的研究将集中在倏逝耦合纳米线激光器阵列的理论描述上。我们将从有源光子晶体的角度分析规则阵列，并将研究集体效应对发射特性、布洛赫模式的Q-和Purcell因子的影响。将已经发展的光子线激光器的简化模型扩展到耦合腔，我们将研究非线性诱导自组织作为图案或局域结构的形成，并将研究无序和安德森局域化对激光阵列动力学的影响。

The aim of the project is twofold: We will support the members of the research group by solving numerical and theoretical problems related to experiments on the op-tics of photonic nanowires. Further we will develop new models to analyze the interac-tion and dynamics of evanescently coupled photonic wires in arrays.Our support of the research group will be based on our expertise in optics and in the analysis and modeling of nanooptical systems. This includes numerical simulations of the field structures of guided modes and of the efficiencies of reflectors at the end of the wires. Based on that we will calculate the absorption of individual wires as well as Q and Purcell factors of wire based resonantors. We will include light matter interaction and current dynamics in electrically driven wires into our numerical simulations and will develop a simplified model of the photonic wire laser to understand its dynamics and nonlinear response. In parallel we will investigate the optical response of bundles of coupled nanowires with respect to their ability to absorb light in solar cells. Further investigations will concentrate on the theoretical description of arrays of evanescently coupled nanowire lasers. We will analyze regular arrays in terms of active photonic crystals and will investigate collective effects on the emission characteristics, the Q- and Purcell factors of Bloch modes. Extending the already developed simplified model of the photonic wire laser towards coupled cavities we will investigate nonlinearly induced self organization as the formation of pattern or localized structures and will study effects of disorder and Anderson localization on the dynamics in the laser array.