• 摘要: 针对高功率射频板条CO2激光器放电负载阻抗随工况动态波动,且传统固定匹配网络适配性不足的问题,提出一种动态Π型阻抗匹配网络设计方案。构建射频放电负载的“等离子区阻容并联+鞘层区电容串联”等效电路模型,明确负载阻抗的低阻容性本质及动态变化规律;基于Π型网络结构优势,引入高压陶瓷可调电容C1C3形成双动态协同调节机制可实时适配负载阻抗波动。通过Matlab模拟优化可调电容调节路径,借助ADS软件的S参数仿真和Smith圆图法完成网络参数设计与仿真验证,得到最佳匹配路径。实验以40.68 MHz、4 kW射频电源为测试平台,在电极尺寸840 mm×40 mm、间距1~4 mm、工作气压12 kPa (CO2∶N2∶He=1∶1∶6)条件下开展验证,结果表明:该匹配网络可覆盖负载阻抗实部 (2~9) Ω、虚部 j(−60~−1) Ω的宽范围波动,匹配网络可使射频功率输出时驻波比 (voltage standing wave ratio, VSWR)稳定控制在1.05以下,功率反射率小于1%,辉光放电均匀且稳定。所设计的动态Π型匹配网络通过双电容协同调节实现了负载阻抗的动态可调,提升了射频功率注入效率与放电稳定性。

       

      Abstract:
      Objective Radio-frequency (RF)-excited slab CO2 laser acts as one of the indispensable core excitation sources for extreme-ultraviolet (EUV) lithography research as well as high-end precision non-metallic material processing. Benefiting from its advantages of compact resonator structure, high beam quality and scalable output power, this type of laser has drawn increasing attention within advanced manufacturing and optoelectronic research communities. Nevertheless, its plasma discharge load exhibits strong time-variant characteristics.
      The load impedance continuously drifts in response to multiple physical variables, including gas-mixture composition, resonant cavity internal pressure, inter-electrode gap distance, and real-time injected RF power. Under practical operating scenarios, these factors frequently couple with each other, further broadening the scope of impedance fluctuation. Traditional fixed-parameter impedance matching networks are merely optimized for a single nominal operating point and lack adaptive capacity for wide-range impedance deviation. Once severe impedance drift occurs, considerable reflected power will be generated at the power-load interface, which directly reduces RF-to-plasma energy-coupling efficiency, gives rise to non-uniform plasma glow discharge, and may even induce device overheating or irreversible component damage in severe cases. For a 40.68 MHz, 4 kW high-power RF excitation system intended for slab CO2 lasers, a high-performance dynamically reconfigurable matching topology is urgently required to suppress power reflection and maintain stable plasma discharge. Targeting these critical technical bottlenecks, this paper develops an improved dynamic Π-type impedance-matching network, aiming to achieve high-efficiency RF-power delivery under drastically variable discharge-load conditions.
      Methods To accurately depict dynamic discharge-load behaviours, a dual-component equivalent-circuit model is established. This model comprises parallel plasma resistance-capacitance branches representing the bulk plasma region and series sheath capacitance characterizing the near-electrode boundary layer, which quantitatively describes the low-resistance capacitive nature of plasma load and reveals inherent dynamic-impedance evolution rules. On the basis of the inherent merits of the conventional Π-type topology, namely broad potential matching bandwidth and relatively low insertion loss, two high-voltage ceramic tunable capacitors are introduced to construct a dual-variable-capacitor cooperative-regulation architecture. The tunable capacitor C1, whose capacitance ranges from 150 pF to 1500 pF, is deployed on the power-source side to calibrate input impedance. Another series-connected tunable capacitor C3 with 10–100 pF adjustment scope is placed at the load branch to compensate reactive impedance and modify the overall impedance-transformation ratio. Matlab numerical simulation is performed to compute cooperative adjustment curves for these two tunable components and derive optimal parameter-adjustment trajectories corresponding to varying load resistance. ADS circuit simulation combined with Smith-chart impedance analysis is further adopted to refine network parameters and validate RF performance at the target frequency of 40.68 MHz. An experimental test platform is built integrating self-developed 4 kW RF power supply and slab CO2 laser prototype. Fixed experimental boundary conditions are maintained throughout validation: electrode dimension of 840 mm×40 mm, adjustable electrode spacing of 1–mm, cavity pressure of 12 kPa, and gas mixing ratio of CO2:N2:He=1:1:6.
      Results and Discussions Experimental and simulation results demonstrate that the proposed matching network can cover load-impedance variation with real-part resistance ranging from 2 Ω to 9 Ω and capacitive imaginary-part impedance varying between −60 Ω and −1 Ω. ADS simulation results exhibit S21 close to 0dB and S11 lower than −20 dB at 40.68 MHz, confirming near-lossless power transmission and extremely low signal reflection within the matching network. With coordinated tuning of C1 and C3, the voltage standing-wave ratio remains below 1.05 and power reflectivity is suppressed under 1% across all tested working states. When the actual injected RF input power reaches 2800W, reflected power is restricted below 28 W while the effective laser optical output achieves 265.7 W. Continuous discharge experiments obtain uniform, arc-free glow distribution over the full electrode surface, verifying reliable plasma excitation. Capacitance-adjustment trajectories acquired from Matlab simulation show great consistency with practical debugging datasets, verifying that the dual-capacitor cooperative-control strategy can effectively counteract real-time impedance drift triggered by pressure fluctuation and electrode-gap alteration. Under identical experimental set-ups, conventional fixed-parameter matching circuits fail to accomplish such wide-range impedance adaptation.
      Conclusions The dual-capacitor collaborative-regulation scheme breaks the matching limitation of classic fixed Π-type networks facing time-varying plasma loads. The presented dynamic Π-type matching structure substantially improves RF power-injection efficiency and plasma-discharge stability. The completed design fulfils impedance-matching requirements for 4 kW-class 40.68 MHz RF-excited slab CO2 lasers and provides solid technical support for popularizing high-power CO2 lasers in EUV lithography and advanced precision-manufacturing applications. Furthermore, the load-equivalent-modelling approach and parameter-optimization workflow established in this work can be generalized to impedance-matching design for other RF-excited gas-laser systems.