Phase-Only Synthesis Methods for General Beam-forming Reflective Metasurfaces

Two methods for synthesizing the phase profile of a reflective metasurface are presented based on Woodward-Lawson (WL) method and amplitude-to-phase mapping techniques. Using a simple square loop resonator based unit cell at 60 GHz, WL method is full-wave verified to approximate the desired far-field beam patterns. To improve the synthesis performance, a direct complex amplitude-to-phase mapping, is further presented which closely approximates any arbitrary pattern characteristics using phase-only modulated metasurfaces.