A reconfigurable intelligent surface (RIS) consists of a large number of
low-cost elements that can control the propagation environment seen from a
transmitter by intelligently applying phase shifts to impinging signals before
reflection. This paper studies an RIS-assisted communication system where a
transmitter wants to transmit a common signal to many users residing in a wide
angular area. To cover this sector uniformly, the RIS needs to radiate a broad
beam with a spatially flat array factor, instead of a narrow beam as normally
considered. To achieve this, we propose to use a dual-polarized RIS consisting
of elements with orthogonal polarizations and show that the RIS can produce a
broad beam if the phase shift configuration vectors in the two polarizations
form a so-called Golay complementary sequence pair. By utilizing their
properties, we also present a method for constructing configuration for large
RISs from smaller ones, while preserving the broad radiation pattern of the
smaller RIS. The numerical results corroborate the mathematical analyses and
highlight the greatly improved coverage properties.Comment: This letter has been accepted for publication in IEEE Communications
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