On a passivity of the Arnoldi based model order reduction for full-wave electromagnetic modeling

Progress in MEMS and packaging design has made significant changes in the requirements for modeling tools. In order to design a modern microdevice or interconnect system it is no longer sufficient to limit the analysis to quasielectrostatic modeling due to smaller size and higher operation frequencies of the microdevices. On the other hand, a "full-wave" analysis produces huge systems of equations which require tremendous amounts of computational resources. Many model order reduction algorithms were developed in order to solve this problem. But the passivity of the reduced system is still an issue for "full-wave" models. This paper will describe the Arnoldi based model order reduction algorithm for "full-wave" electromagnetic analysis and will show that this algorithm preserves passivity of the reduced system.