Bessel integral adaptive segmentation method and system in rapid calculation of integrated circuit

Abstract

The invention provides a Bessel integral adaptive segmentation method and system in rapid calculation of an integrated circuit. The method comprises the following steps: determining the order of a Bessel function used in a Holographic Green function; calculating a zero point of the Bessel function by adopting an iterative method according to the order of the Bessel function; determining the range or the number of the zero points; adaptively segmenting the mth sub-interval, calculating the accumulation of the Bessel integral after the segmentation of the mth sub-interval, and accumulating the accumulation result to the Bessel integral of the whole integral sub-interval; and if the conditions are met, calculating a union vector Green function of a field generated by the source point of the current integrated circuit at the field point. The system comprises an order determination module, a zero point determination module, an integral subinterval setting module, a subinterval segmentation module, a subinterval judgment module and a field calculation module. According to the method, unnecessary redundancy calculation in the Bessel integral adaptive segmentation method is reduced, and the Bessel integral of the whole interval is ensured to be accurate.

Description

technical field [0001] The application belongs to the technical field of electromagnetic simulation of integrated circuits, and in particular relates to a Bessel integral adaptive segmentation method and system in fast calculation of integrated circuits. Background technique [0002] When the integrated circuit is working, due to the transmission of high-speed signals on its multi-layer layout, a high-frequency alternating electromagnetic field will be formed. on a small semiconductor substrate. In order to achieve more functions, VLSI has dozens to hundreds of layers of structure, each layer structure is extremely complex, integrating millions or even tens of millions of transistors, and has a multi-scale structure, from the centimeter level to the latest state-of-the-art nanoscale. In order to ensure that the integrated circuit can work normally and realize the functions designed in advance, it is necessary to ensure the power integrity and signal integrity of the integr...

AI Technical Summary

Problems solved by technology

Since the method of moments only integrates for the interface, it will reduce a large number of grid units and unknown quantities. However, since the scale of integrated circuits ranges from nanometers to centimeters, directly solving the whole integrated circuit with the finite element method itself will cause problems. Huge sparse matrix, and due to the coupling of the finite element method and the method of moments, the formed coupling matrix is ​​a dense matrix at the interface, which greatly increases the number of non-zero elements of the entire sparse matrix and the complexity of the sparse matrix solution, making the calculation time still very long

Images