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Fast Computational Electromagnetic Analyses;@|2007-02\ՑYPxhttps://repository.hanyang.ac.kr/handle/20.500.11754/149971;
http://hanyang.dcollection.net/common/orgView/200000405684;'Ȑ t 0@ HLј ȹtl\Y X 䲑\ | 0t 买 ɔ\ |t. ҈ 0<\ p 8| tX $ĬXՔ p Ȑ0 tt Dt. |8 Ȑ0 tD TXՔ )D lX. < ) tՕ<\ \(̄ ŕ (FDTD: Finite-Difference Time Domain)D T X0 \ ADI-FDTD)X ȩ t | Xp, Ȅ) tՕD TX0 t h \֕ t |X.
< X ӥ DX 买 ,8\ lpX t Ǵ 0tX FDTD (x tt \ ADI-FDTDX (̄) Ĭ ) X lX. l Ĭ \ x Ĭ)D ĳX P X x 2( 8| tX ĬptX ȩ 1D |X. L<\ 4pt HX D ADI-FDTDX 1D <\ ȩX0 \ tե Ȑ tD HX. H t@ Uĳ| Xt t D ĬD ¬ .
ȹɹ<\ (k-domain) t X PD ȩ\ h \֕@ Ȅ ) \֩` L Ȑ tX T Ĭ ` . \@ 0tX \ Dt 买 X0 L8 Ȑ tX ) Ȅ Ĭ D tǔp <\ . hX tǰ t PD tǩ\ Yx \D ĳX 1 X $X.; In this dissertation, several computational methods are studied to accelerate the conventional FDTD and Integral equation algorithms. Fast computational algorithms are very precious tools to investigate the various electromagnetic problems such as antennas and microwave engineerings.
First, updating schemes for the alternating-direction implicit finite-difference time-domain method (ADI-FDTD) are studied, which method has the potential to considerably reduce the number of time iterations especially in case where the fine spatial lattice relative to the wavelength is used to resolve fine geometrical features. In numerical simulations for microwave structure using ADI-FDTD, time marching scheme comprises of two sub-iterations. Two different updating equation sets for ADI-FDTD simulations are presented. In order to discuss the characteristics of those schemes especially in view of applying boundary conditions, we solved two complementary 2-D problems.
Then, to make the best use of known characteristics of the alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method such as unconditional stability and modeling accuracy, an efficient time domain solution with variable time-step size is proposed. Numerical experiment shows that a time-step size for a given mesh size can be increased preserving a desired numerical accuracy over frequencies of interest. The proposed method can be used to analyze electromagnetic problems with reduced computation time.
Finally, a compact representation of Green function is proposed by applying the discrete wavelet concept in the k-domain, which can be used for the acceleration of scattered field calculations in integral equation methods. Since the representation of Green function is very compact in the joint spatio-spectral domain, it can be effectively utilized in the fast computation of radiation integral of electromagnetic problems. A mathematical expression of Green function based on the discrete wavelet concept is derived and its characteristics are discussed&HQsj&)KLng!*36%G2T%G
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