An ultra-fast method for designing holographic phase shifting surfaces

Area of Science:

• Electromagnetics and Metamaterials
• Antenna Theory and Design
• Computational Electromagnetics

Background:

• Holographic phase-shifting surfaces (PSSs) offer cost-effective beam steering for passive arrays.
• Traditional PSS design requires extensive full-wave simulations, limiting development due to high computational cost.
• The complexity arises from characterizing N-layer PSSs with M variations per layer, demanding O(N*M) simulations.

Purpose of the Study:

• To present a novel semi-numerical approach for the efficient design of holographic PSSs.
• To significantly reduce the computational effort required for PSS characterization and analysis.
• To validate the proposed methodology through the design of a 1-D beam steerable antenna system.

Main Methods:

• Representing an N-layer PSS unit-cell as N cascaded networks, each modeling a layer with M sub-wavelength resonators.
• Conducting only O(M) full-wave simulations to gather necessary data for analyzing PSS performance.
• Utilizing the multiplication property of ABCD parameters for efficient evaluation of all O(N*M) PSS combinations.

Main Results:

• The semi-numerical approach drastically reduces the number of required full-wave simulations from O(N*M) to O(M).
• A 1-D beam steerable antenna system, including a circularly polarized holographic metasurface antenna (HMA) and a hybrid PSS at 30 GHz, was successfully designed.
• Validation showed excellent agreement between the semi-numerical method, full-wave simulations, and measurements, with an angular error below 1 degree.

Conclusions:

• The proposed semi-numerical method provides an efficient and accurate solution for designing holographic PSSs.
• This approach significantly lowers computational demands, accelerating the development and application of PSS technology.
• The validated methodology enables practical realization of advanced beam-steering antenna systems.