With the rapid development of science and technology, high-speed optical imaging and ultrafast diagnostic techniques have become increasingly important in various fields such as science, industry, defense, and medicine. As an ultrafast optical phenomenon detection instrument, the synchroscan streak camera, when used in conjunction with high-repetition-rate lasers, can achieve high-precision time-synchronized pump-probe experiments. By accumulating and amplifying weak optical signals, it enables high signal-to-noise ratio detection. However, existing synchronous scanning circuits, when operating in long-term mode, accumulate high-frequency noise from signal source devices, and there is a lack of specific impedance matching design methods, which affects the improvement of the time resolution performance of streak camera. This paper comprehensively considers various transformer structures and design schemes, and conducts resonant matching design based on spiral resonators. Through finite element simulation, relevant simulation studies are carried out. By adjusting the parameters of the primary coil of the resonator, the output impedance of the RF power amplifier and the capacitive load are matched. The resonant coupling boost study of the design model shows that a high peak voltage can be output under a certain power input, verifying the effectiveness of the spiral resonant method. The comparative analysis of noise response and time jitter indicates that the design method can further enhance the time resolution performance of synchronous scanning. resolution performance of synchronous scanning.