AI 中文总结
该研究针对氩气中圆形平面磁控管放电提出降阶非自洽蒙特卡罗模型，结合两种磁场表示等方法，虽碰撞模块有高估但可半定量解释传输，模拟能再现电子群体情况，可用于比较磁场及分析相关现象，是计算量小的工具。
AI 中文摘要
本文提出了一种用于氩气中圆形平面磁控管放电的降阶非自洽蒙特卡罗模型。该模型结合了两种磁场表示，即磁偶极子叠加和有限永久磁铁的数值积分场，以及规定的一维鞘层-本体势、自适应四阶龙格-库塔轨道积分和电子-氩碰撞的零碰撞处理。碰撞模块再现了电子漂移速度对折合电场的依赖性，但绝对值高估约1.5倍，因此对传输预测进行半定量解释。应用于基于已发表的朗缪尔探针测量的磁控管几何结构，模拟再现了远离阴极的冷电子群体的定性出现，同时保留了靠近阴极的较热成分。返回阴极的电子以规定概率RC反射，控制其进一步电离碰撞的可用性。对于至少用2×10^4个阴极发射电子和RC = 0.5启动的跑道计算，有限磁场产生更尖锐的局部侵蚀轮廓，其半高宽接近几何跑道宽度估计。偶极近似产生更宽的轮廓。该模型不是自洽PIC-MCC模拟的替代品，而是用于比较磁场表示和分析电子加热、电离定位和跑道形成的计算轻量级工具。
英文摘要
A reduced-order non-self-consistent Monte Carlo model is presented for a circular planar magnetron discharge in argon. The model combines two magnetic-field representations, namely a superposition of magnetic dipoles and a numerically integrated field of the finite permanent magnets, with a prescribed one-dimensional sheath-bulk potential, adaptive fourth-order Runge-Kutta orbit integration, and a null-collision treatment of electron-argon collisions. The collision module reproduces the dependence of the electron drift velocity on the reduced electric field, but overestimates its absolute value by approximately a factor of 1.5. The resulting transport predictions are therefore interpreted semi-quantitatively. Applied to a magnetron geometry based on published Langmuir-probe measurements, the simulations reproduce the qualitative emergence of a cold electron population away from the cathode while retaining a hotter near-cathode component. Electrons returning to the cathode are reflected with a prescribed probability RC, which controls their availability for further ionising collisions. For racetrack calculations initiated with at least 2 x 10^4 cathode-emitted electrons and RC = 0.5, the finite-magnet field produces a more sharply localised erosion profile whose full width at half maximum is close to a geometric racetrack-width estimate. The dipole approximation yields a broader profile. The model is not a replacement for self-consistent PIC-MCC simulations, but is a computationally light tool for comparing magnetic-field representations and analysing electron heating, ionisation localisation, and racetrack formation.
