Work

Efficient FRW Transitions via Stochastic Finite Differences for Handling Non-Stratified Dielectrics

Year: 2025

Type: article

Abstract: The accuracy of floating-random-walk (FRW) based capacitance extraction stands only when the recursive FRW transitions are sampled unbiasedly according to surrounding dielectrics. Advanced technology profiles, featuring complicated non-stratified dielectrics, challenge the accuracy of existing FRW transition schemes that approximate dielectrics with stratified or eight-octant patterns. In this work, we propose an algorithm named MicroWalk, enabling accurate FRW transitions for arbitrary dielectrics while keeping high efficiency. It is provably unbiased and equivalent to using transition probabilities solved by finite difference method, but at orders of magnitude lower cost (802× faster). An enhanced 3-D capacitance solver is developed with a hybrid strategy for complicated dielectrics, combining MicroWalk with the special treatment for the first transition cube and the analytical algorithm for stratified cubes. Experiments on real-world structures show that our solver achieves a significant accuracy advantage over existing FRW solvers, while preserving high efficiency.

Source: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

DOI: 10.1109/tcad.2025.3602737

Authors: Jiechen Huang, Wenjian Yu

Institutions: Beijing National Research Center for Information Science and Technology, Tsinghua University

Language: English

Topic: Electromagnetic Simulation and Numerical Methods

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Beijing Municipal Natural Science Foundation

Award: 先进工艺超大规模互连电路仿真的数学理论和计算方法研究