The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
SIAM Journal on Scientific Computing
Efficient computation of the 2D periodic Green's function using the Ewald method
Journal of Computational Physics
Proceedings of the conference on Design, automation and test in Europe
Proceedings of the 2008 Asia and South Pacific Design Automation Conference
Stochastic integral equation solver for efficient variation-aware interconnect extraction
Proceedings of the 45th annual Design Automation Conference
Proceedings of the conference on Design, automation and test in Europe
New simulation methodology of 3D surface roughness loss for interconnects modeling
Proceedings of the Conference on Design, Automation and Test in Europe
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Statistical timing analysis under spatial correlations
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient variation-aware EM-semiconductor coupled solver for the TSV structures in 3D IC
DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
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In multigigahertz integrated-circuit design, the extra energy loss caused by conductor surface roughness in metallic interconnects and packagings is more evident than ever before and demands explicit consideration for accurate prediction of signal integrity and energy consumption. Existing techniques based on analytical approximation, despite simple formulations, suffer from restrictive valid ranges, namely, either small or large roughness/frequencies. In this paper, we propose a robust and efficient numerical-simulation methodology applicable to evaluating general surface roughness, described by parameterized stochastic processes, across a wide frequency band. Traditional computation-intensive electromagnetic simulation is avoided via a tailored scalar-wave modeling to capture the power loss due to surface roughness. The spectral stochastic collocation method is applied to construct the complete statistical model. Comparisons with full wave simulation as well as existing methods in their respective valid ranges then verify the effectiveness of the proposed approach.