A fast time-domain EM-TCAD coupled simulation framework via matrix exponential

Authors:
Quan Chen;Wim Schoenmaker;Shih-Hung Weng;Chung-Kuan Cheng;Guan-Hua Chen;Li-Jun Jiang;Ngai Wong
Affiliations:
University of Hong Kong, Hong Kong;Magwel NV, Leuven, Belgium;University of California San Diego, La Jolla, CA;University of California San Diego, La Jolla, CA;University of Hong Kong, Hong Kong;University of Hong Kong, Hong Kong;University of Hong Kong, Hong Kong
Venue:
Proceedings of the International Conference on Computer-Aided Design
Year:
2012

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Abstract

We present a fast time-domain multiphysics simulation framework that combines full-wave electromagnetism (EM) and carrier transport in semiconductor devices (TCAD). The proposed framework features a division of linear and nonlinear components in the EM-TCAD coupled system. The former is extracted and handled independently with high efficiency by a matrix exponential approach assisted with Krylov subspace method. The latter is treated by ordinary Newton's method yet with a much sparser Jacobian matrix that leads to substantial speedup in solving the linear system of equations. More convenient error management and adaptive control are also available through the linear and nonlinear decoupling.