%0 Journal Article %T Primary Design of Extended Interaction Klystron with Multi-Gap Cavity at 225 GHz %A Diwei Liu %A Kaichun Zhang %A Ke Chen %A Neng Xiong %A Qian Xu %A Wangju Xu %A Xiaoxing Chen %J - %D 2018 %R https://doi.org/10.3390/particles1010020 %X Abstract The analytical expressions of the beam¨Cwave coupling coefficients and the beam loading conductance for a 2 ¦Ð mode in a multi-gap cavity is proposed as a circuit of the extended interaction klystron (EIK), are derived by space-charge wave theory. The mechanism of the beam¨Cwave synchronization and the coupling in the multi-gap cavity at 225 GHz are studied in detail by calculating the coupling coefficient and the normalized beam loading conductance as a function of gap number, gap dimension, and beam voltage as well as the perveance. The stability of the circuit is analyzed by considering the quality factor of the electron beam. It is found that the stability of the operating 2¦Ð mode is more sensitive to the beam voltage and gap number. Based on the theory and analysis, a 5-gap coupled cavity is proposed as a section of EIK¡¯s circuit. A low voltage EIK with a 4-cavity circuit at 225 GHz is designed and is simulated by a particle-in-cell (PIC) code. The EIK can achieve a maximum output power of ~36 W with more than 30 dB gain at 225 GHz. View Full-Tex %K extended interaction klystron (EIK) %K space-charge wave %K beam loading conductance %U https://www.mdpi.com/2571-712X/1/1/20