Segmentation Modelling Method for High-Speed High-Density PCB Systems Based on Huygens Equivalent Principle
When the working bandwidth exceeds 20 GHz(wavelength from less than 15 mm to infinitesimal),the electromagnetic(EM)environment of high-speed high-density electronic systems becomes very complex,and it is increas-ingly difficult to model,analyze and predict the EM response,and it makes the problem more acute when the bandwidth reaches more than 40 GHz.In order to be able to predict,evaluate and even control the process and effect of EM re-sponse at the design stage,accurate modeling methods and large-scale fast computing techniques are required,especially ultra-large bandwidth ultra-high-speed hybrid circuits and integrated circuits are involved.In this paper,a multi-scale pro-cessing technology based on the basic theory of electromagnetic computing in hybrid circuit environment is proposed,which solves the technical challenge of high-efficiency and high-precision field-circuit-hybrid modeling for electromagnet-ic environments of multi-scale complex circuits by employing the Huygens equivalence principle and the electromagnetic convergence and speed reduction mechanism of electromagnetic singularity.Using the Huygens equivalence principle and Kirchhoff integral equation,the Huygens port is defined on the regional boundary surface,and a general method of domain decomposition is proposed which can simultaneously cut entire region into vertical and horizontal subregions for arbitrary complex printed circuit board(PCB).The proposed realizes the hierarchical classification processing and modu-lar packaging of any PCB structure,and improves the flexibility of high-speed high-density electronic system analysis.A technical approach based on eigen mode expansion method is proposed,and a fast parallel processing technology based on modal and domain decomposition and segmentation method is developed,which realizes both high precision and high calculation speed through the eigen-function representation for discontinuous field distribution,and reduces the calculation time and design time of complex electronic systems.Statistic data reveal frequency error of 3.7％and ampli-tude error of±3 dB in verification range of 0～40 GHz.The hierarchical modeling and analysis method proposed in this paper can be applied to the design of high-end electronic communication system and improve the Chinese circuit design and control capabilities of the electromagnetic environment of broadband high-speed digital-analog system,and shorten the product development cycle.
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