Modeling of Through Silicon Vias Using Finite-Difference Time-Domain Technique

Authored by: Brajesh Kumar Kaushik , Vobulapuram Ramesh Kumar , Manoj Kumar Majumder , Arsalan Alam

Through Silicon Vias

Print publication date:  August  2016
Online publication date:  November  2016

Print ISBN: 9781498745529
eBook ISBN: 9781315368825
Adobe ISBN:

10.1201/9781315368825-9

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Abstract

Finite-difference time-domain (FDTD) is a popular computational electrodynamics modeling technique. Initially, this method was implemented to solve Maxwell’s equations. In this technique, the time-dependent partial differentials are discretized using central-difference approximations to the space and time partial derivatives. The resulting finite-difference equations are solved in either software or hardware in a leapfrog manner. For the first time, this method was implemented by Yee et al. [1] for Maxwell’s equations solutions. In this method, FDTD is implemented on the transmission line equation in which relative parameters are line voltage (V) and current (I) similar to electric field (E) and magnetic field (H) in Maxwell’s equations.

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