Electromagnetic Modeling of Through-Silicon Via (TSV) Interconnections Using Cylindrical Modal Basis Functions

2010 ◽  
Vol 33 (4) ◽  
pp. 804-817 ◽  
Author(s):  
Ki Jin Han ◽  
Madhavan Swaminathan ◽  
Tapobrata Bandyopadhyay
Author(s):  
Sándor Bilicz ◽  
József Pávó ◽  
Szabolcs Gyimóthy ◽  
Zsolt Badics

Purpose The electromagnetic modeling of inductively coupled, resonant wireless power transfer (WPT) is dealt with. This paper aims to present a numerically efficient simulation method. Design/methodology/approach Recently, integral equation formulations have been proposed, using piecewise constant basis functions for the series expansion of the current along the coil wire. In the present work, this scheme is improved by introducing global basis functions. Findings The use of global basis functions provides a stronger numerical stability and a better control over the convergence of the simulation; moreover, the associated computational cost is lower than for the previous schemes. These advantages are demonstrated in numerical examples, with special attention to the achievable efficiency of the power transfer. Practical implications The method can be efficiently used, e.g., in the optimal design of resonant WPT systems. Originality/value The presented computation scheme is original in the sense that global series expansion has not been previously applied to the numerical simulation of resonant WPT.


Geophysics ◽  
2006 ◽  
Vol 71 (4) ◽  
pp. G169-G177 ◽  
Author(s):  
Colin G. Farquharson ◽  
Ken Duckworth ◽  
Douglas W. Oldenburg

A comparison is made between the results from two different approaches to modeling geophysical electromagnetic responses: a numerical approach based upon the electric-field integral equation and the physical scale modeling approach. The particular implementation of the integral-equation solution was developed recently, and the comparison presented here is essentially a test of this new formulation. The implementation approximates the region of anomalous conductivity by a mesh of uniform cuboidal cells and approximates the total electric field within a cell by a linear combination of bilinear edge-element basis functions. These basis functions give a representation of the electric field that is divergence free but not curl free within a cell, and whose tangential component is continuous between cells. The charge density (which arises from the discontinuity of the normal com-ponent of the electric field across interfaces between cells of different conductivities and between cells and the background) is incorporated in a similar manner to integral equation solutions to dc resistivity modeling. The scenarios considered for the comparison comprise a graphite cube of [Formula: see text] conductivity and 14-cm length in free space and in brine ([Formula: see text] conductivity). The transmitter and receiver were small horizontal loops; measurements and computations were made for various fixed transmitter-receiver separations and various heights of the transmitter-receiver pair for frequencies ranging from [Formula: see text]. The agreement between the numerical results from the integral-equation implementation and the measurements from the physical scale modeling was very good, contributing to the verification of this particular implementation of the integral-equation solution to electromagnetic modeling.


2004 ◽  
Vol 52 (11) ◽  
pp. 2985-2995 ◽  
Author(s):  
E. Jorgensen ◽  
J.L. Volakis ◽  
P. Meincke ◽  
O. Breinbjerg

2005 ◽  
Vol 25 (1_suppl) ◽  
pp. S634-S634 ◽  
Author(s):  
Yun Zhou ◽  
Weiguo Ye ◽  
James R Brasic ◽  
Mohab Alexander ◽  
John Hilton ◽  
...  

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