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Low-frequency model-order reduction of electromagnetic fields without matrix factorization

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1 Author(s)
R. F. Remis ; Lab. of Electromagn. Res., Delft Univ. of Technol., Netherlands

In this paper, we develop a reduced-order modeling technique, which is based on a low-frequency expansion of the electromagnetic field. The expansion can be written in terms of the pseudoinverse of a so-called system matrix. This pseudoinverse is given explicitly, and it is shown that it satisfies a reciprocity relation. Moreover, we show that computing matrix-vector products with this pseudoinverse essentially amounts to repeatedly solving Poisson's equation. The latter two properties allow us to efficiently compute reduced-order models via a Lanczos-type algorithm. The proposed method is illustrated by a number of numerical examples.

Published in:

IEEE Transactions on Microwave Theory and Techniques  (Volume:52 ,  Issue: 9 )