Inductance of Different Profiles of Through Glass Vias based on magnetic flux density

In this paper, a new model of the parasitic inductance using a glass core substrate is proposed. Based on the magnetic flux equation, the expressions are derived considering the different profiles of Through Glass Vias(TGVs). According to the skin effect, the magnetic flux density is solved as a frequency-varying parameter. The formulas can be used to calculate the self-partial inductance and mutual-partial inductance. The inductance model is verified by comparing with the results of 3-D full-wave electromagnetic solver High Frequency Simulator Structure (HFSS). The proposed model and HFSS results show accordance with each other up to 100 GHz.