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Analysis and Application of the Model Order Reduction Method in the Finite-Difference Time-Domain Algorithm

It is well known that the finite difference time domain (FDTD) method is a powerful numerical analysis tool for solving electromagnetic problems. In a simulated area, in order to discretize an object which is much smaller than the others, a very small space increment is needed and hence the time step should be decreased too for stability consideration in traditional FDTD. The small space and time increments will respectively increase the memory requirement and calculation time. To overcome these problems, some numerical methods were developed, such as the subcell and nonuniform grid method, to handle the small feature size.
This thesis describes an efficient method for generating FDTD subcell equations. We construct a second order macromodel system instead of the subcell region in conventional FDTD. The macromodel system can be reduced with model order reduction techniques (MOR) and then translated into new FDTD update equations. When the problem contains several objects of the same size and material properties, the MOR subcell has the advantage of reusability. This means that the reduce-order model of the object needs to be generated only once nonetheless can be applied to every position where the objects originally occupied.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0728105-095652
Date28 July 2005
CreatorsSu, Hsin-Hsiang
ContributorsTzong-Lin Wu, Chih-Wen Kuo, Tzyy-Sheng Horng, Ken-Huang Lin, Ming-Cheng Liang
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0728105-095652
Rightscampus_withheld, Copyright information available at source archive

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