Algebraic Electromagnetism

机译：代数电磁

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This paper introduces the concept of Algebraic Electromagnetism to solve the problem of finding stable spatial discretizations of the electromagnetic field for large scale, ultra-wide-band electromagnetic systems, composed of possibly nonlinear subsystems with memory and/or hysteresis effects. It is a thorough approach to exact discrete electromagnetism, given by an algebraic construction of general material operators that have the property that solving Maxwell's equations with these is exactly equivalent to solving a corresponding system of ordinary differential equations.

机译：本文介绍了代数电磁学的概念，以解决为大规模超宽带电磁系统寻找稳定的电磁场空间离散化问题，该系统可能由具有记忆和/或磁滞效应的非线性子系统组成。这是一种精确的离散电磁学的彻底方法，它由一般材料算子的代数结构给出，该算子具有用这些方程求解麦克斯韦方程组的性质，等同于求解相应的常微分方程组。

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来源
《2016 URSI International Symposium on Electromagnetic Theory》|2016年|496-499|共4页
会议地点 Espoo(FI)
作者
Eike Scholz; Sebastian Lange; Thomas Eibert;
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作者单位

Technical University of Munich, Chair of High-Frequency Engineering, Arcisstr. 21, 80333 München, Germany;

Bundeswehr Research Institute for Protective Technologies - NBC Protection, Humboldtstr. 100, 29633 Munster, Germany;

Technical University of Munich, Chair of High-Frequency Engineering, Arcisstr. 21, 80333 München, Germany;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Interpolation; Mathematical model; Maxwell equations; Electromagnetics; Couplings; Ultra wideband technology; Hysteresis;

机译：插值;数学模型;麦克斯韦方程;电磁学;耦合;超宽带技术;磁滞;

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2. Electromagnetic Problems Modeling Using Algebraic Topological Method [J] . Vikram Reddy Anapana, Venkata Kowshik Sivva, Pranav Sai, American Journal of Electromagnetics and Applications . 2021,第2期

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3. Electromagnetic analogue space-times, analytically and algebraically [J] . Schuster Sebastian, Visser Matt Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2019,第13期

机译：电磁模拟空间时间，分析和代数
4. Algebraic Topological Method: An Alternative Modelling Tool for Electromagnetics [C] . Aakash, Aditi Bhatt, Krishnaswamy Sankaran URSI Asia-Pacific Radio Science Conference . 2019

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5. CLIFFORD ALGEBRAS IN RELATIVISTIC QUANTUM MECHANICS AND IN THE GAUGE THEORY OF ELECTROMAGNETISM. [D] . CLARKSON, ERIC WAYNE. 1985

机译：相对论量子力学中的克利福德代数和电磁学的度量理论。
6. Quantum cluster algebras and quantum nilpotent algebras [O] . Kenneth R. Goodearl, Milen T. Yakimov 2014

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7. Finite-Range Electromagnetic Interaction and Magnetic Charges: Spacetime Algebra or Algebra of Physical Space? [O] . Cafaro, Carlo 2007

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Algebraic Electromagnetism

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