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The operating voltage of high‑power klystron electron guns reaches the hundred‑kilovolt level. High electric‑field gradient inside the gun readily causes vacuum breakdown and other adverse phenomena, which degrade the voltage withstand capability and service life of the device. Taking a high‑efficiency klystron electron gun as the research object, this paper adopts the Non‑dominated Sorting Genetic Algorithm‑II (NSGA‑II) multi‑objective genetic algorithm to collaboratively optimize the geometric dimensions of the focusing electrode for electric‑field gradient suppression. Two optimized configurations with different fillet radii for the focusing electrodes are obtained. Subsequently, steady‑state temperature field, thermal deformation and modal oscillation verification are carried out simultaneously. The eigenmodes of the optimized structure are far away from the operating excitation frequency band, and no risk of self‑excited oscillation exists. This research provides a theoretical basis for the low‑electric‑field structural design of similar high‑power klystron electron guns.
