Enhanced Design and Analysis of Single-Layer Phase Shifters for Electromagnetic Wave Reflection and Phase-Compensation Cloaking

The control of reflection phase in planar structures is a fundamental tool in thin-film optics, microwaves, and cloaking technologies. While reflection from a semi-infinite denser medium introduces a fixed π phase inversion, a finite-thickness dielectric layer enables continuous phase tailoring via interference effects. In this work, we present a comprehensive theoretical and numerical study of single-layer phase shifters deposited on perfect electric conductor (PEC) and dielectric substrates. Analytical expressions for the reflection coefficient are derived and validated through parametric simulations. Using these results, we design quarter-wave phase shifters, anti-reflection (AR) coatings, and phase-compensation cloaks that conceal subwavelength surface perturbations in reflection mode. Additional contributions include global (n 2 , d) reflectance and phase maps, a fabricationtolerance analysis, and a spectral robustness evaluation. The results demonstrate that PECbacked structures allow arbitrary phase control at unit reflectance, while dielectric-backed cloaks present unavoidable amplitude-phase trade-offs. The methodology is fully analytical and provides a transparent benchmark for more complex multilayer or metasurface cloaking strategies.