Transmission line matrix method reduced order modeling

Dzianis Lukashevich, Andreas Cangellaris, Peter Russer

Research output: Contribution to journalConference articlepeer-review

17 Scopus citations


The finite-difference time-domain (FDTD) method and the transmission line matrix (TLM) method allow the formulation of state-equation representations of the discretized electromagnetic field. These representations usually involve very large numbers of state variables. Reduced order modeling (ROM) of the investigated structure may yield considerable reduction of the computational effort and can be used to generate compact models of the electromagnetic system. While complexity reduction approaches based on moment matching techniques have been intensively studied in the case of FDTD, they have not yet been considered for TLM. In this paper we apply Krylov subspace methods to TLM using the basic Arnoldi and non-symmetric Lanczos algorithm. It is shown that the inherent unitarity property of the TLM operator nevertheless implies an essential difference in comparison to former implementations for FDTD or circuit analysis. Simulation results for a rectangular cavity resonator using both TLM with and without ROM and a study of the convergence of the eigenvalues are presented here.

Original languageEnglish
Pages (from-to)1125-1128
Number of pages4
JournalIEEE MTT-S International Microwave Symposium Digest
StatePublished - 2003
Event2003 IEEE MTT-S International Microwave Symposium Digest - Philadelphia, PA, United States
Duration: 8 Jun 200313 Jun 2003


  • Reduced Order Modeling (ROM)
  • Transmission Line Matrix (TLM) Method


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