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http://dx.doi.org/10.5515/KJKIEES.2008.19.2.121

Fast Analysis of Fractal Antenna by Using FMM  

Kim, Yo-Sik (School of Electronics, Telecommunication and Computer Engineering, Korea Aerospace University)
Lee, Kwang-Jae (School of Electronics, Telecommunication and Computer Engineering, Korea Aerospace University)
Kim, Kun-Woo (Samsung Thales Co. Ltd.)
Oh, Kyung-Hyun (Samsung Thales Co. Ltd.)
Lee, Taek-Kyung (School of Electronics, Telecommunication and Computer Engineering, Korea Aerospace University)
Lee, Jae-Wook (School of Electronics, Telecommunication and Computer Engineering, Korea Aerospace University)
Publication Information
Abstract
In this paper, we present a fast analysis of multilayer microstrip fractal structure by using the fast multipole method (FMM). In the analysis, accurate spatial green's functions from the real-axis integration method(RAIM) are employed to solve the mixed potential integral equation(MPIE) with FMM algorithm. MoM's iteration and memory requirement is $O(N^2)$ in case of calculation using the green function. the problem is the unknown number N can be extremely large for calculation of large scale objects and high accuracy. To improve these problem is fast algorithm FMM. FMM use the addition theorem of green function. So, it reduce the complexity of a matrix-vector multiplication and reduce the cost of calculation to the order of $O(N^{1.5})$, The efficiency is proved from comparing calculation results of the moment method and Fast algorithm.
Keywords
FMM; Fractal; MOM; MPIE; RAIM;
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