2009
DOI: 10.2528/pier09032003
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Transient Analysis of Wire Structures Using Time Domain Integral Equation Method With Exact Matrix Elements

Abstract: Abstract-A novel time-domain integral equation (TDIE) solver for transient analysis of conducting wires is proposed. It is formulated using the distribution of induced electric dipoles as unknown function. The triangular and B-spline functions are employed as the spatial and temporal basis functions, respectively. By using these basis functions, the matrix elements are found obtainable via exact closedform formulae, which furnish a robust scheme in terms of stability and accuracy. In addition, to accelerate th… Show more

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Cited by 29 publications
(20 citation statements)
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“…Although these resonators or other modified versions of them such as hexagonal [2][3][4] and spiral resonators [5,6] have been used to realize canonical [7][8][9][10][11][12][13], dual [14][15][16][17][18][19][20][21], triple [22,23] and quadpassband filters [24] with complicated transmission characteristics, all of these filters suffer from the time consuming full-wave-based process of determining the physical parameters of the filter from the desired coupling factor and Q ext . The ability of soft computing techniques in modeling complicated problems in a vanishingly short time instead of using numerical or analytical approach [25][26][27][28][29][30][31][32] may provide a fast and accurate solution to this problem. Among the soft computing techniques the ability of fuzzy inference method in solving complicated electromagnetic problems such as microwave filter tuning [33,34], EMC problems [35], resonant frequency computation [36,37], determination of the transmission lines characteristic parameters [38], determination of the relative magnetic permeability [39] and also antenna modeling [40][41]…”
Section: Introductionmentioning
confidence: 99%
“…Although these resonators or other modified versions of them such as hexagonal [2][3][4] and spiral resonators [5,6] have been used to realize canonical [7][8][9][10][11][12][13], dual [14][15][16][17][18][19][20][21], triple [22,23] and quadpassband filters [24] with complicated transmission characteristics, all of these filters suffer from the time consuming full-wave-based process of determining the physical parameters of the filter from the desired coupling factor and Q ext . The ability of soft computing techniques in modeling complicated problems in a vanishingly short time instead of using numerical or analytical approach [25][26][27][28][29][30][31][32] may provide a fast and accurate solution to this problem. Among the soft computing techniques the ability of fuzzy inference method in solving complicated electromagnetic problems such as microwave filter tuning [33,34], EMC problems [35], resonant frequency computation [36,37], determination of the transmission lines characteristic parameters [38], determination of the relative magnetic permeability [39] and also antenna modeling [40][41]…”
Section: Introductionmentioning
confidence: 99%
“…In fact, several approaches have been applied to this important and challenging task such as Finite difference Time Domain (FDTD) method and Time Domain Integral Equation (TDIE) method. Many researches [4,5] have proven the effectiveness of TDIE compared to FDTD for transient analysis. So, the TDIE uses fewer unknowns based on surface discretization and eliminates the artificial absorbing conditions (ABC).…”
Section: Introductionmentioning
confidence: 99%
“…There are numerous applications of these studies in antenna theory and propagation, as well as in electromagnetic compatibility (EMC), such as buried power and telecommunication cables, respectively, grounding, target identification, stimulation of biological tissue, etc. [1][2][3][4][5][6][7][8][9][10].…”
Section: Introductionmentioning
confidence: 99%