Complex envelope Faber polynomial method for the solution of Maxwell's equations

Kleene Hendrik; Schulz Dirk

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Complex envelope Faber polynomial method for the solution of Maxwell's equations

机译：求解Maxwell方程的复包络Faber多项式方法

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摘要

A complex envelope approach for the numerical solution of Maxwell's equations based on Faber polynomial expansions is investigated. The Faber polynomial expansion used for the approximation of the exponential time propagator offers a highly accurate and efficient calculation while allowing the application of large time steps. The complex envelope approach incorporates only the envelope around a carrier frequency. This is especially beneficial when bandlimited source field distributions are investigated as it is the case for many applications from terahertz technology or photonics.

机译：研究了基于费伯多项式展开的麦克斯韦方程组数值解的复包络方法。用于近似指数时间传播器的Faber多项式展开式可提供高度准确且高效的计算，同时允许应用较大的时间步长。复杂包络方法仅合并载波频率附近的包络。当研究带宽受限的源场分布时，这尤其有益，因为太赫兹技术或光子学的许多应用都是这种情况。

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来源
《Optical and quantum electronics》 |2019年第12期|381.1-381.13|共13页
作者
Kleene Hendrik; Schulz Dirk;
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作者单位

Tech Univ Dortmund Friedrich Wohler Weg 4 D-44227 Dortmund Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Time-domain methods; Complex envelope; Finite-difference time-domain method (FDTD); Computational modeling;

机译：时域方法;复杂信封时域有限差分法（FDTD）;计算建模;

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专利

1. Time Domain Solution of Maxwell’s Equations Using Faber Polynomials [J] . Hendrik Kleene, Dirk Schulz Antennas and Propagation, IEEE Transactions on . 2018,第11期

机译：使用Faber多项式的Maxwell方程的时域解
2. Approximation of Functions by Faber—Laurent Polynomials and Solution of Singular Integral Equations by the Reduction Method [J] . V. N. Seiciuc, L. A. Tabere Differential equations: A translation of differensial'nye uraveniya . 2007,第9期

机译：用Faber-Laurent多项式逼近函数并用归约法求解奇异积分方程
3. Application of Faber polynomials to the approximate solution of singular integral equations with the Cauchy kernel [J] . Wójcik P., Sheshko M.A., Sheshko S.M. Differential equations: A translation of differensial'nye uraveniya . 2013,第2期

机译：Faber多项式在具有柯西核的奇异积分方程的近似解中的应用
4. Concept of a Complex Envelope Faber Polynomial Approach for the Solution of Maxwell’s Equations [C] . Hendrik Kleene, Dirk Schulz IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization . 2018

机译：麦克斯韦方程组求解的复杂包络费伯多项式方法的概念
5. An Adaptive Local Discrete Convolution Method for the Numerical Solution of Maxwell's Equations [D] . Lo, Boris Tsz Kiu. 2019

机译：Maxwell等式数值解决方案的自适应局部离散卷积方法
6. Numerical solution of DGLAP equations using Laguerre polynomials expansion and Monte Carlo method [O] . A. Ghasempour Nesheli, A. Mirjalili, M. M. Yazdanpanah -1

机译：用Laguerre多项式展开和蒙特卡洛方法求解DGLAP方程的数值解。
7. A method for complex geometries in finite-difference solutions of Maxwell's equations [O] . Nicolaides R. 2004

机译：麦克斯韦方程组有限差分解中的复杂几何方法

Complex envelope Faber polynomial method for the solution of Maxwell's equations

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