Title :
Equivalent Circuit Modeling of Dielectric Hysteresis Loops in Through Silicon Vias
Author :
Piersanti, Stefano ; De Paulis, Francesco ; Orlandi, Antonio ; Dong-Hyun Kim ; Joungho Kim ; Jun Fan
Author_Institution :
Dept. of Ind. & Inf. Eng. & Econ., UAq EMC Lab., L´Aquila, Italy
Abstract :
This paper proposes a numerical solution of the nonlinear equations that describes the hysteretic behavior of the coupling capacitance among through silicon vias in three-dimensional integrated circuits. Behavioral ordinary differential equations are formulated and solved by an equivalent circuit described in SPICE syntax. These results are then compared with those obtained by measurements.
Keywords :
dielectric hysteresis; differential equations; equivalent circuits; integrated circuit modelling; nonlinear equations; three-dimensional integrated circuits; 3D integrated circuits; coupling capacitance; dielectric hysteresis loops; equivalent circuit model; nonlinear equations; ordinary differential equations; through silicon vias; Capacitance; Equivalent circuits; Hysteresis; Integrated circuit modeling; Mathematical model; Silicon; Through-silicon vias; Dielectric hysteresis; equivalent circuit; nonlinear circuits; through silicon vias (TSVs); time domain;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.2015.2478849
