Full-wave solutions of Maxwell’s equations defined on a wide-range parametric space can be necessary for modeling and design of high-frequency electronic systems. Model order reduction (MOR) techniques can be used to develop efficient solvers for accelerating the parameter sweeping process. In this article, we implement two MOR methods for solving parametric full-wave problems. One is the well-known proper orthogonal decomposition (POD) method and the other is a more recent and novel method, which is proper generalized decomposition (PGD). The two methods are applied on a wave propagation problem in both frequency domain and frequency-permittivity domain. Results show that both POD and PGD can model the field changes in the parametric space accurately. The efficiency and behavior of the reduction modes of both methods are compared and discussed.

中文翻译：

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POD和PGD在频域全波问题中有效参数扫描的应用

在宽范围参数空间上定义的麦克斯韦方程组的全波解对于高频电子系统的建模和设计可能是必要的。模型降阶 (MOR) 技术可用于开发用于加速参数扫描过程的高效求解器。在本文中，我们实现了两种 MOR 方法来解决参数化全波问题。一种是众所周知的适当正交分解（POD）方法，另一种是较新的新方法，即适当广义分解（PGD）。这两种方法都应用于频域和频率介电常数域中的波传播问题。结果表明，POD 和 PGD 都可以准确地模拟参数空间中的场变化。比较和讨论了两种方法的还原模式的效率和行为。