We address extended interaction amplifier (EIA) and put forward a novel resonant cavity design based on a traditional ladder-type resonant cavity combined with symmetrically trapezoidal neck cavities. The resonant cavity exploits a three-gap structure with characteristic impedance higher than the corresponding single-gap structure. The effects of the trapezoidal necks are analyzed for the TM <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">31</sub> - 2π mode in the terahertz range. To broaden the gain bandwidth of the EIA, a stagger-tuning method is employed, and a six-cavity structure is proposed. After the stagger-tuning state, the designed multicavity EIA produces stable output power from a 20-mW input driving signal, with a gain of about 35.05 dB and efficiency 1.51% at 0.23 THz, with more than 1.1 GHz-3 dB bandwidth when a sheet beam with a dimension of 0.7 mm × 0.1 mm, 14.7-kV voltage and 0.29-A current passes through the beam tunnel.
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