Reduced-order modeling of electromagnetic field interactions in unbounded domains truncated by perfectly matched layers

Abstract

This letter presents the implementation of Berenger's perfectly matched layers and perfectly matched anisotropic absorbers in an electromagnetic field solver streamlined for the rapid simulation of vectorial electromagnetic interactions using Krylov space‐based model order reduction algorithms. The proposed model and its computer implementation are validated through numerical simulation of electromagnetic wave propagation in metallic waveguides and associated components. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 17: 62–66, 1998.

5 Complexity reduction of electromagnetic systems

“…Both simulation and order reduction are more difficult in the ED regime than in the MQS and EQS regimes, since now the system eigenvalues are complex. For this case there is a large collection of methods for a posteriori MOR of the system generated by FEM [11,56,50,57,45,36,53,7,1,51]. They are based on truncated balanced models (see Chapter 2 of [3]), moment matching (see Chapter 3 of [3]), or data-driven and interpolation (see Chapter 6 of [3]).…”

Progress in the methodologies for the electrical modeling of interconnects and electronic packages

“…For example, if an interface is using parameters then the model is established with some of the terminals shorted since (5.46) However, the shorted terminal conditions may render the model to be unstable. As an alternate to the parameters, a scattering parameter characterization of the multiport through a fast frequency sweep method is possible [155], [156], [135]. The multiport admittance matrix can be obtained from the scattering matrix as follows:…”

Multipoint Galerkin asymptotic waveform evaluation for model order reduction of frequency domain FEM electromagnetic radiation problems

“…It should be noted that the choice of and is not unique. To make a th-order subset of unique, it is desired to find a set of and associated such that the approximation (8) minimizes the residual (9) in the sense that if is expressed in a Taylor series as (10) then for (11) and (12) For notational purposes, expand in a Taylor series as (13) and define . .…”

“…Since PVL requires the matrix equation to be linear in frequency, solving a matrix equation resulting from using a PML backed FDTD grid with PVL is not trivial. This problem is addressed in [13] with a solution that requires introducing an auxiliary variable and thereby increasing the number of unknowns. Finally, open domain problems are also treated using PVL on a finite element mesh in [9] where only the electric field is solved for.…”