论文信息 - Reduced order models of refined Yee's cells

Reduced order models of refined Yee's cells

This letter introduces a new approach to increasing the accuracy of Finite Difference (FD) methods by means of local mesh refinement. The area slightly larger than single Yee's cell is covered by dense mesh and its macromodel is created by the Model Order Reduction (MOR) of state equations in the frequency domain. Such macromodels are subsequently used in the Finite Difference Time Domain (FDTD) or the Finite Difference Frequency Domain (FDFD) analysis of the entire structure. Unlike a popular subgridding technique, the model order reduction approach does not affect the stability or convergence properties of underlying numerical schemes.

M. Mrozowski | L. Kulas | M. Mrozowski | L. Kulas

[1] Daniël De Zutter,et al. Automatic generation of subdomain models in 2D FDTD using reduced order modeling , 2000 .

[2] M. Okoniewski,et al. Three-dimensional subgridding algorithm for FDTD , 1997 .

[3] Z. Cendes,et al. S-domain methods for simultaneous time and frequency characterization of electromagnetic devices , 1998 .

[4] Y. Zhu,et al. Macro-elements for efficient FEM simulation of small geometric features in waveguide components , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[5] Li Zhao,et al. Electromagnetic model order reduction for system-level modeling , 1999 .

[6] B. Sheehan,et al. ENOR: model order reduction of RLC circuits using nodal equations for efficient factorization , 1999, Proceedings 1999 Design Automation Conference (Cat. No. 99CH36361).

[7] M. Mrozowski. Stability condition for the explicit algorithms of the time domain analysis of Maxwell's equations , 1994, IEEE Microwave and Guided Wave Letters.

[8] Allen Taflove,et al. Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[9] M. Mrozowski,et al. A conductive wedge in Yee's mesh , 1998, IEEE Microwave and Guided Wave Letters.

[10] L. Kulas,et al. Reduced-order models in FDTD , 2001, IEEE Microwave and Wireless Components Letters.