Magneto-Dielectric Substrate Effect on Bandpass li-Circuit Negative Group Delay(NGD) Performance

This paper investigates the influence of magneto-dielectric (MD) substrate permeability on the bandpass (BP) Negative Group Delay (NGD) performance. The present BP NGD analysis is based on microstrip li topology. The circuit proof of concept is designed with a coupled line (CL) having a physical 40-cm length and l-mm space. Comparison between different commercial tools is performed to illustrate the feasibility of BP NGD design with li topology. Circuit and 3-D electromagnetic (EM) full wave simulations confirm the possibility of the magneto-dielectric (MD) substrate-based BP NGD function design. The BP NGD function reveals NGD center frequency decreasing from 1.25 GHz to 1 GHz when the relative permeability, $\mu_{\mathrm{r}}$, increases from 1 to 8. In addition, the NGD value changes from about -2 to -4 ns.