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A reconfigurable intelligent surface (RIS) consists of a large number oflow-cost elements that can control the propagation environment seen from atransmitter by intelligently applying phase shifts to impinging signals beforereflection. This paper studies an RIS-assisted communication system where atransmitter wants to transmit a common signal to many users residing in a wideangular area. To cover this sector uniformly, the RIS needs to radiate a broadbeam with a spatially flat array factor, instead of a narrow beam as normallyconsidered. To achieve this, we propose to use a dual-polarized RIS consistingof elements with orthogonal polarizations and show that the RIS can produce abroad beam if the phase shift configuration vectors in the two polarizationsform a so-called Golay complementary sequence pair. By utilizing theirproperties, we also present a method for constructing configuration for largeRISs from smaller ones, while preserving the broad radiation pattern of thesmaller RIS. The numerical results corroborate the mathematical analyses andhighlight the greatly improved coverage properties.

Dual-Polarized Reconfigurable Intelligent Surface Assisted Broad Beamforming