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Reconfigurable intelligent surface (RIS) has gained much traction due to itspotential to manipulate the propagation environment via nearly-passivereconfigurable elements. In our previous work, we have analyzed and proposed abeyond diagonal RIS (BD-RIS) model, which is not limited to traditionaldiagonal phase shift matrices, to unify different RIS modes/architectures. Inthis paper, we create a new branch of BD-RIS supporting a multi-sector mode. Amulti-sector BD-RIS is modeled as multiple antennas connected to a multi-portgroup-connected reconfigurable impedance network. More specifically, antennasare divided into $L$ ($L \ge 2$) sectors and arranged as a polygon prism witheach sector covering $1/L$ space. Different from the recently introducedconcept of intelligent omni-surface (or simultaneously transmitting andreflecting RIS), the multi-sector BD-RIS not only achieves a full-spacecoverage, but also has significant performance gains thanks to the highlydirectional beam of each sector.We derive the constraint of the multi-sectorBD-RIS and the corresponding channel model taking into account the relationshipbetween antenna beamwidth and gain. With the proposed model, we first derivethe scaling law of the received signal power for a multi-sector BD-RIS-assistedsingle-user system. We then propose efficient beamforming design algorithms tomaximize the sum-rate of the multi-sector BD-RIS-assisted multiuser system.Simulation results verify the effectiveness of the proposed design anddemonstrate the performance enhancement of the proposed multi-sector BD-RIS.

Beyond Diagonal Reconfigurable Intelligent Surfaces: A Multi-Sector Mode Enabling Highly Directional Full-Space Wireless Coverage