arXiv 2209.042632022-09-09physics.opticsphysics.comp-ph

等离子体激元系统带间跃迁的时域模拟

Time-domain modeling of interband transitions in plasmonic systems

Max Pfeifer, Dan-Nha Huynh, Gino Wegner, Francesco Intravaia, Ulf Peschel, Kurt Busch

备注：: 9 pages, 3 figures, 1 table

摘要：

通过麦克斯韦方程组的时域模拟对色散材料进行有效建模依赖于辅助微分方程技术。在这种方法中，材料的频率依赖性介电常数通过有理函数（例如洛伦兹极点）的和来表示，并且通过拟合实验数据来确定相关的自由参数。在目前的工作中，我们提出了一种修改后的方法等离子体材料，需要比传统方法少得多的拟合参数。具体而言，我们认为基本的微观理论，并在频域中，分离的流体动力学贡献的准自由电子在部分填充带间跃迁。作为一个例子，我们将我们的方法应用到金，并演示如何通过连接到底层电子能带结构来处理有效模型内的带间跃迁，从而为剩余的拟合参数分配物理意义。最后，我们将展示如何利用这种方法内的辅助微分方程的技术。我们的方法可以扩展到其他等离子体材料，并在必须考虑带间跃迁的频率范围内对等离子体结构进行高效的时域模拟。

英文摘要：

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via a sum of rational functions, e.g. Lorentz-poles, and the associated free parameters are determined by fitting to experimental data. In the present work, we present a modified approach for plasmonic materials that requires considerably fewer fit parameters than traditional approaches. Specifically, we consider the underlying microscopic theory and, in the frequency domain, separate the hydrodynamic contributions of the quasi-free electrons in partially filled bands from the interband transitions. As an illustration, we apply our approach to gold and demonstrate how to treat the interband transitions within the effective model via connecting to the underlying electronic bandstructure, thereby assigning physical meaning to the remaining fit parameters. Finally, we show how to utilize this approach within the technique of auxiliary differential equations. Our approach can be extended to other plasmonic materials and leads to efficient time-domain simulations of plasmonic structures for frequency ranges where interband transitions have to be considered.

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