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An ultrabroad and sharp transition bandpass flexible terahertz (THz) filter is designed using a multiple-layered metamaterial. This bandpass filter has excellent filtering capability, with a 3 dB bandwidth of about 0.47 THz and sharp band-edge transitions of 80 dB/THz and 96 dB/THz, respectively, and it can be realized by a coupling individual resonance mode. We find that the geometry parameters have an influence on the transmission profile, which are capable of giving us meaningful guidance in design of high profile bandpass THz filters. The numerical results show that the multiple-layered flexible metamaterial provides an effective way to achieve ultrabroad THz devices. [ABSTRACT FROM AUTHOR]