Title: Modeling of radiating curved cables via coupled telegrapher's and Maxwell's equations Show Chinese title

Title: 通过耦合的电报员方程和麦克斯韦方程对辐射弯曲电缆的建模

Abstract: We investigate the electromagnetic interactions of cable harnesses in the time domain. We present a novel model that allows for curved cables, extending the standard assumptions typically made in transmission line modeling. The cables are described by the telegrapher's equations, the classical model for transmission lines, driven by input signals implemented through appropriate boundary conditions, such as imposed voltages at cable ends. The cables interact via electromagnetic radiation; the latter is determined by Maxwell's equations. This interaction is incorporated into the model through boundary conditions imposed on the electromagnetic field. The resulting coupling between the transmission lines and Maxwell's equations is energetically consistent. In particular, we show that the coupled system satisfies a global power balance. Show Chinese abstract

Abstract: 我们研究时域内电缆束的电磁相互作用。 我们提出了一种新模型，允许弯曲电缆，扩展了通常在传输线建模中做出的标准假设。 电缆由电报员方程描述，这是传输线的经典模型，通过适当的边界条件实现的输入信号驱动，例如在电缆末端施加的电压。 电缆通过电磁辐射相互作用；后者由麦克斯韦方程确定。 这种相互作用通过施加在电磁场上的边界条件纳入模型中。 传输线和麦克斯韦方程之间的耦合在能量上是一致的。 特别是，我们证明耦合系统满足全局功率平衡。