Dispersion-Mitigated Variance Reduction in Delay Times and Delay Lengths for Liquid Crystal-Based Variable Delay Lines from 54 GHz to 66 GHz and Beyond

—Since its inception three decades ago, liquid crystal (LC) microwave phase-shifting technology has made tangible and highly scalable improvements. Although LC-enabled phase shifts (measured in degrees or radians) have arguably produced a wealth of discoveries, delay length and delay duration (measured in picoseconds) have perhaps garnered significantly less attention. In this work, we numerically characterize the delay times and lengths of various LC-enabled variable delay line designs at the 60 GHz band, identifying the optimal dielectric constant state (baseline) that achieves a 50-ohm match while minimizing spikes and turbulence in the frequency response. In practice, the increase in the conventional figure-of-merit metric (i.e., the ratio of the maximum phase shift to the maximum insertion loss) has coincided with the ripples ramped up in the frequency response of the time delay. By suitably designing the geometry’s matching baseline at the LC’s permittivity state of 3.1, we achieve a quasi-constant delay time (and length) with minimised amplitude variations (standard deviation of 0.72 fs) across 54 GHz to 66 GHz, i.e., highly desirable for minimum squint and mitigated sidelobe for 60 GHz beam steering applications.