Method and system for extracting direct current component of integrated circuit three-dimensional full-wave electromagnetic simulation

Abstract

This application discloses a method and system for extracting DC components of integrated circuit three-dimensional full-wave electromagnetic simulation. The method first decomposes the finite element system matrix into a stiffness matrix and a mass matrix that do not include frequency variables, and then based on the stiffness matrix corresponding to the type of integrated circuit medium and mass matrix to construct the initial generalized eigenvalue equation, and then adjust the magnitude of the matrix in the initial generalized eigenvalue equation through coefficient transformation to obtain a new generalized eigenvalue equation, and then based on the new generalized eigenvalue equation, the The new eigenvalues ​​that are lower than the preset eigenvalue threshold are set to zero, and finally the eigenvalues ​​corresponding to the new generalized eigenvalue equation are transformed into the eigenvalues ​​corresponding to the initial generalized eigenvalue equation through coefficient inverse transformation, and the zero eigenvalues ​​corresponding to The eigenvectors of are taken as DC components. This method makes it possible to completely solve the problem of failure of existing solvers at low frequencies for integrated circuits.

Description

technical field [0001] The present application relates to the technical field of electromagnetic simulation, in particular to a method and system for extracting DC components of integrated circuit three-dimensional full-wave electromagnetic simulation. Background technique [0002] VLSI has an obvious multi-scale structure, and its scale ranges from centimeter level ( ) ~ nanoscale ( ), the scale ranges up to 7 orders of magnitude. On the other hand, the signals transmitted by integrated circuits often have the characteristics of full-wave transmission, and its transmission frequency range covers from DC to several GHz. This problem is particularly prominent in the application of integrated circuits for digital and mixed signal transmission. Therefore, for the electromagnetic field analysis of integrated circuits, full-wave electromagnetic field analysis is required, and a full-wave electromagnetic field solver is required to solve the electromagnetic field of integrated...

AI Technical Summary

Problems solved by technology

[0007] Based on the above technical background, it can be known that when performing three-dimensional full-wave electromagnetic simulation for integrated circuits, all integrated circuit electromagnetic simulation solvers will fail at low frequencies. The root cause of this problem is that the computer accuracy cannot meet the requirements for The matrix operation of the vector finite element formed by the nanoscale grid subdivision of the integrated circuit leads to inaccurate calculation of the eigenvalue of the generalized eigenvalue problem formed by the matrix of the vector finite element, and the DC component corresponding to the zero eigenvalue cannot be accurately extracted

Images