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In order to obtain ultra-compact and ultra-narrow bandstop performances, the work presents a terahertz filter based on graphene cavities, which consists of four graphene cavities and a graphene waveguide on SiO2/Si substrate. To demonstrate the feasibility of the approach, numerical simulation performed with the aid of the finite-element method is used to evaluate the terahertz performance of the proposed device. The structure rejects the signals at the frequencies from 5.9978 to 6.002 THz with >20 dB suppression. The high-Q band-rejection terahertz wave filter with four graphene cavities provides of 1500. The dimensions of the presented terahertz wave band-stop filter are of 22.5 µm x 18.0 µm. The high-performance, compact-size, and low-cost filter is designed for reducing the interference in future terahertz systems. [ABSTRACT FROM AUTHOR]