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In this article, we perform a numerical investigation on the polarization of a terahertz wave transmitting through a dust acoustic wave. Assuming a triangular waveform of the particle number density in the dust acoustic wave, the transmission characteristics are calculated using the finite-difference time-domain method. It is shown that dust acoustic waves can function as a polarizer to control the polarization states of the terahertz wave, and the conversion efficiency depends on the parameters of the dust acoustic wave, such as the particle number density and the thickness of particle cloud.