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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/9753
標題: | 時域全波電磁模擬的模型降階與遲時響應 Model Order Reduction and Late-Time Responses of Time-Domain Full-Wave Electromagnetic Simulations |
作者: | Ting-Yi Huang 黃定彝 |
指導教授: | 吳瑞北 |
關鍵字: | 時域有限差分法,Krylov子空間法,模型降階,遲時響應, finite-difference time-domain method,krylov subspace method,model order reduction,late-time response, |
出版年 : | 2008 |
學位: | 博士 |
摘要: | 本論文提出於時域電磁全波模擬過程中輔以Krylov子空間模型降階的混合型方法,有效率地求得封閉系統的遲時響應。在本論文提出的混合型方法中,模型降階程序通常於激發源消失之後啟動,負責萃取出系統主要且活躍的模態,並利用這些模態的線性組合建構系統的遲時響應。由於有效利用在空間上得到的資訊,在訊源消失並於系統中往返之後,此方法只需要少數額外的時域迭代就能夠得到足夠數量的激發模態。適當地萃取出系統的主要模態之後,便可以輕易地用解析公式重建系統的遲時響應。利用本論文中提出的技巧來實現這類型的混合方法,現存的時域模擬程式碼將得以重覆使用。論文之中亦提供數個數值模擬範例以供檢驗此類方法的正確性、效率、收斂性以及複雜度。由這些範例中皆可以觀察到模型降階程序只需運作少量步驟,混合方法便能得到與直接進行時域計算相當一致的結果。 Hybrid methods combining time-domain full-wave electromagnetic simulation and Krylov subspace based model order reduction techniques are proposed for efficiently obtaining the late-time responses of closed systems. In general, model order reduction process is applied after the sources fade to zero for extracting the active modes in the system. Late-time responses are then constructed by the linear combination of the extracted modes. Taking advantage of the space information, only few direct time domain iterations are required after the sources fade to zero with additional round-trip time before the extraction of the excited modes. After the dominant modes are properly extracted, the late time response of the system can be easily reconstructed by analytic expressions. With the proposed hybridizing techniques, existing codes of time-domain simulation can be resorted. Several numerical examples are provided for the verification of the correctness, efficiency, convergence, and complexity of the proposed hybrid methods, which show that with only very few iterations of model order reduction, good agreement can be achieved between the results of the proposed hybrid methods and those obtained from direct time-domain iterations. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/9753 |
全文授權: | 同意授權(全球公開) |
顯示於系所單位: | 電信工程學研究所 |
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ntu-97-1.pdf | 1.74 MB | Adobe PDF | 檢視/開啟 |
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