In this paper, the discrete dipole approximation method is adopted to study the scattering characteristics of dust particles in different Chebyshev models in order to investigate the scattering characteristics of dust particles in the terahertz band. The effects of different physical properties such as particle size and particle shape on their scattering characteristics including backscatter section (C_bak), attenuation section (C_ext), scattering section (C_sca), single-scatter albedo (ω) for the frequencies of 1.5 THz, 2.524 THz, and 3.437 THz are calculated, respectively. The results show that under the same ripple parameters, the particle size at 1.5 THz has a greater effect on C_ext and C_sca; the particle size changes at 2.524 THz has a larger effect on C_bak. Under the same frequency, the particle size change of the waveform parameter of 2~5 has a significantly different effect on each optical cross-section compared with the other shapes. Under the three frequencies, particles of each ripple parameter with the effective radius larger than 10 μm when the single scattering albedo is greater than 0.95.