论文标题

有效的不连续的盖尔金方案,用于分析纳米结构的光电设备

Efficient Discontinuous Galerkin Scheme for Analyzing Nanostructured Photoconductive Devices

论文作者

Chen, Liang, Sirenko, Kostyantyn, Li, Ping, Bagci, Hakan

论文摘要

等离子体纳米结构在光电机设备(PCD)设计中的掺入已显着提高了其光学到terahertz的转换效率。但是,这种改进是以这些设备的设计和仿真为代价增加的。实际上,由于时间和空间中多个特征尺度产生的高计算成本,纳米结构PCD的多物理过程和复杂的设备几何形状的准确建模是具有挑战性的。在这项工作中,提出了一个不连续的盖林(DG)基于单位电池方案,用于使用周期性纳米结构对PCD有效仿真。该方案考虑了设备的两个物理阶段,并使用两个耦合系统对其进行了建模:一个描述非平衡稳态状态的泊松和漂移扩散方程的系统,以及描述瞬态阶段的Maxwell和Drift-Diffusion方程的系统。在单位电池的相对边界上实现了“电势”边界条件,以模仿偏置电压的效果。周期性边界条件用于载体密度和电磁场。这些耦合方程和边界条件描述的单位细胞模型使用DG方法离散。数值结果表明,所提出的基于DG的单位细胞方案在预测THZ光电流方面具有相同的准确性,而DG框架则考虑了整个设备,而它大大降低了计算成本。

Incorporation of plasmonic nanostructures in the design of photoconductive devices (PCDs) has significantly improved their optical-to-terahertz conversion efficiency. However, this improvement comes at the cost of increased complexity for the design and simulation of these devices. Indeed, accurate and efficient modeling of multiphysics processes and intricate device geometries of nanostructured PCDs is challenging due to the high computational cost resulting from multiple characteristic scales in time and space. In this work, a discontinuous Galerkin (DG)-based unit-cell scheme for efficient simulation of PCDs with periodic nanostructures is proposed. The scheme considers two physical stages of the device and models them using two coupled systems: a system of Poisson and drift-diffusion equations describing the nonequilibrium steady state, and a system of Maxwell and drift-diffusion equations describing the transient stage. A "potential-drop" boundary condition is enforced on the opposing boundaries of the unit cell to mimic the effect of the bias voltage. Periodic boundary conditions are used for carrier densities and electromagnetic fields. The unit-cell model described by these coupled equations and boundary conditions is discretized using DG methods. Numerical results demonstrate that the proposed DG-based unit-cell scheme has the same accuracy in predicting the THz photocurrent as the DG framework that takes into account the whole device, while it significantly reduces the computational cost.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源