Title :
Multiple and non-existent Barnes-Hut center-of-charge (CoC) solution in lossy layered substrates: Half space analytic and numerical study
Author :
Butt, Khalid ; Aronsson, J. ; Okhmatovski, Vladimir
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Manitoba, Winnipeg, MB, Canada
Abstract :
For rapid extraction of capacitance in lossless substrates Barnes-Hut algorithm is an effective technique for evaluating N charges in O(N log N) operations. When substrates are lossy the hierarchical application of the CoC approximation, apart from resulting in unique CoC, can result in cases like there does not exist CoC or there exist multiple CoC solutions. In this paper we analytically and numerically study CoC approximation in lossy half space media.
Keywords :
absorbing media; approximation theory; electrostatics; substrates; CoC approximation; electrostatic interactions; half space analytic study; lossy half space media; lossy layered substrates; nonexistent Barnes-Hut center-of-charge solution; numerical study; rapid capacitance extraction; Approximation methods; Dielectrics; Equations; Nonhomogeneous media; Permittivity; Substrates;
Conference_Titel :
Electrical Performance of Electronic Packaging and Systems (EPEPS), 2013 IEEE 22nd Conference on
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-4799-0705-2
DOI :
10.1109/EPEPS.2013.6703480
