Performance analysis of faber polynomial based local propagators for photonics

IF 4 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Optical and Quantum Electronics Pub Date : 2025-02-28 DOI:10.1007/s11082-025-08072-9

Wladimir Plotnikov, Dirk Schulz

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Abstract

The computation of the propagation of an electromagnetic wave in the time domain is examined using local Faber polynomial based time dependent propagators. Conventionally, the whole computational domain is evaluated by one global operator. Contrary, when utilizing a nonuniform discretization in the system local operators can be used individually for each subarea. This allows the complexity to be reduced by decreasing the polynomial order of the evaluation of the Faber algorithm, while at the same time decreasing the overall runtime. Compared to common Local Time Step methods, the time step size of each individual area with this approach is already synchronized with a predefined global time step size. In general, the investigated approach is especially interesting for applications that demand a high spatial resolution, such as in the field of nanophotonics and THz-technology. However, the influence of the necessary process steps on the runtime must be examined in particular when computing with the local operators approach. To this end, the theoretical complexity is derived and compared with practical results to analyze the efficiency.

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基于faber多项式的光子局部传播器性能分析

利用局域法伯多项式研究了电磁波在时域中的传播计算。传统上，整个计算域由一个全局算子求值。相反，当在系统中使用非均匀离散化时，可以对每个子区域单独使用局部算子。这允许通过降低Faber算法求值的多项式阶数来降低复杂性，同时减少总体运行时间。与常见的Local Time Step方法相比，使用这种方法的每个单独区域的时间步长已经与预定义的全局时间步长同步。总的来说，所研究的方法对于需要高空间分辨率的应用特别有趣，例如在纳米光子学和太赫兹技术领域。但是，必须检查必要的流程步骤对运行时的影响，特别是在使用本地操作符方法进行计算时。为此，推导了理论复杂度，并与实际结果进行了比较，分析了效率。

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来源期刊

Optical and Quantum Electronics 工程技术-工程：电子与电气

CiteScore

4.60

自引率

20.00%

发文量

810

审稿时长

3.8 months

期刊介绍： Optical and Quantum Electronics provides an international forum for the publication of original research papers, tutorial reviews and letters in such fields as optical physics, optical engineering and optoelectronics. Special issues are published on topics of current interest. Optical and Quantum Electronics is published monthly. It is concerned with the technology and physics of optical systems, components and devices, i.e., with topics such as: optical fibres; semiconductor lasers and LEDs; light detection and imaging devices; nanophotonics; photonic integration and optoelectronic integrated circuits; silicon photonics; displays; optical communications from devices to systems; materials for photonics (e.g. semiconductors, glasses, graphene); the physics and simulation of optical devices and systems; nanotechnologies in photonics (including engineered nano-structures such as photonic crystals, sub-wavelength photonic structures, metamaterials, and plasmonics); advanced quantum and optoelectronic applications (e.g. quantum computing, memory and communications, quantum sensing and quantum dots); photonic sensors and bio-sensors; Terahertz phenomena; non-linear optics and ultrafast phenomena; green photonics.