A fractional-order RLGC model for Terahertz transmission line

A causal and compact fractional-order transmission line (T-line) model is developed for CMOS on-chip conductor at Terahertz (THz). With consideration of frequency-dependent dispersion loss and non-quasi-static effect at THz, good agreement of characteristic impedance is observed between the proposed fractional-order model and measurement up to 110GHz, while traditional integer-order model can only match up to 10GHz. The developed fractional-order model is deployed in design of CMOS on-chip standing-wave oscillator, which shows large improvement in accuracy such as oscillation amplitude with preserved causality.