Generalized TLM algorithms with controlled stability margin and their equivalence with finite-difference formulations for modified grids
Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved bo...
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| Published in | IEEE transactions on microwave theory and techniques Vol. 43; no. 9; pp. 2081 - 2089 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.09.1995
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9480 |
| DOI | 10.1109/22.414544 |
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| Abstract | Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grid is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude.< > |
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| AbstractList | Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grid is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude.< > Generalized TLM formulations based on modified grids of 2-D shunt nodes or 3-D expanded nodes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grids is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude. Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grid is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude Generalized TLM formulations based on modified grids of 2D shunt nodes or 3D expanded nodes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grids is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude. (Author) |
| Author | Celuch-Marcysiak, M. Gwarek, W.K. |
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| Cites_doi | 10.1109/22.106559 10.1002/jnm.1660060106 10.1002/jnm.1660010406 10.1007/BF00927832 10.1109/22.210250 10.1109/MWSYM.1994.335306 10.1109/22.45349 10.1049/ip-h-1.1981.0052 10.1049/el:19900315 10.1109/TMTT.1985.1133146 10.1109/TMTT.1985.1133170 10.1109/22.179889 10.1109/22.127524 10.1109/22.102983 10.1109/EUMA.1992.335692 10.1109/20.104992 10.1109/22.3579 10.1049/el:19730358 10.1051/jp3:1993105 |
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| Snippet | Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible... Generalized TLM formulations based on modified grids of 2-D shunt nodes or 3-D expanded nodes are proposed. Generalization consists of permitting flexible... Generalized TLM formulations based on modified grids of 2D shunt nodes or 3D expanded nodes are proposed. Generalization consists of permitting flexible... |
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| SubjectTerms | Algorithm design and analysis Application software Circuit stability Finite difference methods Microwave circuits Microwave propagation Microwave theory and techniques Time domain analysis Transmission lines |
| Title | Generalized TLM algorithms with controlled stability margin and their equivalence with finite-difference formulations for modified grids |
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