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A terahertz dual-mode extended interaction oscillator (EIO) driven by a pseudospark-sourced sheet electron beam (SEB) was presented. The major advantages of the newly developed circuit include 1) high-density SEB interacting with the TM11 and TM31 modes, respectively, and 2) high output power of over 1 ​kW ​at the sub-terahertz frequency range. Two different types of 2π modes and their output characteristics were studied, and the circuit was optimized to ensure efficient outputs of two standing-wave modes. The three-dimensional (3D) particle-in-cell (PIC) simulation predicts the maximum output power of 1.3 ​kW with a 3-dB bandwidth of ~0.5 ​GHz ​at 303 ​GHz when operating at the TM11 mode, and 3.18 ​kW, 3-dB bandwidth of ~0.85 ​GHz ​at 364 ​GHz when operating at the TM31 mode.