Item
Aguareles Carrero, Maria
Haro, Jaume Rius, Josep SolàMorales i Rubió, Joan de 

We present a new asymptotic formula for the maximum static voltage in a simplified model for onchip power distribution networks of array bonded integrated circuits. In this model the voltage is the solution of a Poisson equation in an infinite planar domain whose boundary is an array of circular pads of radius ", and we deal with the singular limit Ɛ → 0 case. In comparison with approximations that appear in the electronic engineering literature, our formula is more complete since we have obtained terms up to order Ɛ15. A procedure will be presented to compute all the successive terms, which can be interpreted as using multipole solutions of equations involving spatial derivatives of functions. To deduce the formula we use the method of matched asymptotic expansions. Our results are completely analytical and we make an extensive use of special functions and of the Gauss constant G  
http://hdl.handle.net/2072/295095  
eng  
Cambridge University Press (CUP)  
Tots els drets reservats  
Funcions el·líptiques
Elliptic functions Constants matemàtiques Mathematical constants 

On an asymptotic formula for the maximum voltage drop in a onchip power distribution network  
info:eurepo/semantics/article  
Recercat 