Gyroid is a type of three-dimensional chiral structures, which have attracted much research attention recently. A
dielectric single gyroid (SG) can be a candidate for providing new means of guiding light because it has been shown to
exhibit complete photonic band gaps. Owing to the chiral nature, the SG metamaterials may exhibit circular polarization-dependent
properties, leading to new types of polarization-sensitive devices. In this work, we present studies based on
finite-difference time-domain (FDTD) method for analyzing the polarization-dependent characteristics of dielectric SG.
We show that the operation frequency of SG metamaterials can be advanced from microwave to visible region by
varying its material, lattice constant and volume fraction. The corresponding band structures, transmission spectra for
right circularly polarized (RCP) light and left circularly polarized (LCP) light, and circular dichroism (CD) indices are
examined. According to our analysis, a circular polarization gap is found in the visible region. In particular, the
correlation between the volume fraction of dielectric SG and the frequency range of circular polarization band gaps is
also investigated. These results are crucial for the design of functional polarization-sensitive devices at the visible
wavelength based on dielectric single gyroid metamaterials.