Simultaneously, we conducted simulations using COM-SOL (refer to the Methods section, 4.2, for details) to further investigate the behavior of the electronically tunable phase shifter, as shown in Figure ). An important aspect explored in these simulations was the influence of changes in the dielectric constant on the device performance, which is attributed to its voltage dependency. The results highlight the significant impact of variations in the dielectric constant on the phase shift characteristics, demonstrating the sensitivity of the device to changes in the properties of the surrounding medium's properties. As the dielectric constant decreased with increasing applied voltage, there was a noticeable effect on the phase shift characteristics, consistent with observations made under varying applied voltage conditions.