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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Transmission-line matrix method ： ウィキペディア英語版 Transmission-line matrix method The transmission-line matrix (TLM) method is a space and time discretising method for computation of electromagnetic fields. It is based on the analogy between the electromagnetic field and a mesh of transmission lines. The TLM method allows the computation of complex three-dimensional electromagnetic structures and has proven to be one of the most powerful time-domain methods along with the finite difference time domain (FDTD) method. == Basic principle == The TLM method is based on Huygens' model of wave propagation and scattering and the analogy between field propagation and transmission lines. Therefore it considers the computational domain as a mesh of transmission lines, interconnected at nodes. In the figure on the right is considered a simple example of a 2D TLM mesh with a voltage pulse of amplitude 1 V incident on the central node. This pulse will be partially reflected and transmitted according to the transmission-line theory. If we assume that each line has a characteristic impedance $Z$, then the incident pulse sees effectively three transmission lines in parallel with a total impedance of $Z/3$. The reflection coefficient and the transmission coefficient are given by : $R\; =\; \backslash frac\; =\; -0.5$ : $T\; =\; \backslash frac\; =\; 0.5$ The energy injected into the node by the incident pulse and the total energy of the scattered pulses are correspondingly : $E\_I\; =\; vi\backslash ,\backslash Delta\; t\; =\; 1\; \backslash left(1/Z\backslash right)\backslash Delta\; t\; =\; \backslash Delta\; t/Z$ : $E\_S\; =\; \backslash left()(\backslash Delta\; t/Z)\; =\; \backslash Delta\; t/Z$ Therefore the energy conservation law is fulfilled by the model. The next scattering event excites the neighbouring nodes according to the principle described above. It can be seen that every node turns into a secondary source of spherical wave. These waves combine to form the overall waveform. This is in accordance with Huygens principle of light propagation. In order to show the TLM schema we will use time and space discretisation. The time-step will be denoted with $\backslash Delta\; t$ and the space discretisation intervals with $\backslash Delta\; x$, $\backslash Delta\; y$ and $\backslash Delta\; z$. The absolute time and space will therefore be $t\; =\; k\backslash ,\backslash Delta\; t$, $x\; =\; l\backslash ,\backslash Delta\; x$, $y\; =\; m\backslash ,\backslash Delta\; y$, $z\; =\; n\backslash ,\backslash Delta\; z$, where $k=0,1,2,\backslash ldots$ is the time instant and $m,n,l$ are the cell coordinates. In case $\backslash Delta\; x\; =\; \backslash Delta\; y\; =\; \backslash Delta\; z$ the value $\backslash Delta\; l$ will be used, which is the lattice constant. In this case the following holds: : $\backslash Delta\; t=\backslash frac,$ where $c\_0$ is the free space speed of light. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Transmission-line matrix method」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.