Application of POD and PGD for Efficient Parameter Sweeping in Frequency-Domain Full-Wave Problems

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.