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光学实验相关的数值和理论问题来支持研究小组的成员。此外，我们将开发新的模型来分析阵列中渐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。这包括数值模拟的场结构的导模和反射器的效率在电线的末端。在此基础上，我们将计算单个线的吸收以及基于线的谐振器的Q和珀塞尔因子。我们将在我们的数值模拟中包括电驱动线中的光物质相互作用和电流动力学，并将开发光子线激光器的简化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与它们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。我们将从主动光子晶体的角度来分析规则阵列，并探讨集体效应对布洛赫模式的发光特性、Q因子和珀塞尔因子的影响。扩展已经开发的简化模型的光子线激光器向耦合腔，我们将研究非线性诱导自组织的图案或局部结构的形成，并将研究无序和安德森本地化的激光器阵列的动力学的影响。

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.