Design Analysis of a Polarizer Integrated Dual-Functional Surface for mm-Wave Applications

Based on the aforementioned design principle, the focal point of the proposed design is the multi-functional metasurface, making it necessary to analyze the UC design of the proposed polarizer integrated dual-functional surface (PIDFS) first. In Fig. 2(a) and (b), the perspective and top view of the UC geometric for achieving the reflective phase-shifting functionality in the higher frequency band are depicted. The unit comprises two circular rings and one circular patch, with the rings printed on the bottom surface of a substrate and the patch etched on the top surface. The chosen substrate is Rogers 4003C, which has a dielectric constant of 3.55, a thickness of 0.406 mm, and a loss tangent of 0.002. The periodicity length of the unit cell, a, is set to be 5.3mm. This dual-layered structure is designed as a phase-shifting unit for a RA operating at the mm-wave band. In this particular design, the dimensions of the UC are appropriately adjusted to achieve full reflection in the frequency range of 26-33 GHz.

The simulated phases and amplitudes of the reflection waves for different values of r1 in Fig. 2(b) are plotted in Fig. 3. The figure demonstrates that the unit retains a desirable energy reflection even when the unit cell size r1 is altered. Moreover, the phase shifting curve in Fig. 3 reveals that the diameter of the circular patch r1 can be suitably modified to provide the desired phase compensation in the high-frequency range, thereby contributing to the design of the RA. In this design, we aim to construct a 2-bit UC for the phase compensation calculation of the RA. Consequently, the reflective phases of the UC are discretely selected with the values of 0ﾰ, 90ﾰ, 180ﾰ, and 270ﾰ, corresponding to r1 values of 1.9mm, 2.3mm, 2.5mm, and 2.9mm, respectively.