旋转圆柱阴极的磁场设计与仿真分析

张南, 彭定强, 黄吉裕, 罗骞, 伍三忠

表面技术 ›› 2026, Vol. 55 ›› Issue (12) : 287-297.

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表面技术 ›› 2026, Vol. 55 ›› Issue (12) : 287-297. DOI: 10.16490/j.cnki.issn.1001-3660.2026.12.022
功能表面及技术

旋转圆柱阴极的磁场设计与仿真分析

  • 张南, 彭定强, 黄吉裕, 罗骞, 伍三忠*
作者信息 +

Magnetic Field Design and Simulation Analysis of Rotating Cylindrical Cathodes

  • ZHANG Nan, PENG Dingqiang, HUANG Jiyu, LUO Qian, WU Sanzhong*
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文章历史 +

摘要

目的 针对旋转圆柱阴极靶面磁场分布特性开展仿真分析,提出新型磁场评价指标,以实现对靶面磁场特性更全面的评估,并在此基础上开展结构优化设计。方法 利用有限元分析软件建立二维仿真模型,对旋转圆柱阴极的四列磁铁阵列构型进行数值仿真。围绕靶面切向磁感应强度,定义并引入磁场峰高、磁场峰位、磁场半峰宽、漏磁比及磁场衰减系数等磁场评价指标,系统分析磁铁间距、磁铁靶材参考距离、磁铁宽度比、磁铁高度差及磁铁极化夹角等结构参数对上述指标的影响规律,并据此提出优化的结构设计方案。结果 仿真结果表明,不同结构参数对各磁场评价指标的影响规律存在显著差异。通过优化设计,漏磁比与磁场衰减系数分别降低89.12%和11.32%,实现了靶面磁场分布特性的综合提升。结论 本研究拓展了旋转圆柱阴极磁场分布的分析与评价方法,揭示了不同结构参数对磁场分布的作用规律,为磁控溅射阴极的结构设计与优化提供了理论依据,对提升靶材溅射均匀性、靶材利用率及镀膜质量具有重要的工程应用价值。

Abstract

The magnetic field design of rotating cylindrical cathodes plays a critical role in determining target utilization and coating quality in magnetron sputtering processes. However, conventional design approaches rely heavily on empirical knowledge and iterative trial-and-error experiments, resulting in high development costs and low design efficiency. Moreover, experimental magnetic field measurements are labor-intensive and are limited to discrete spatial points, making it difficult to comprehensively characterize the global magnetic field distribution. Finite element simulation offers significant advantages, including intuitive visualization, rapid analysis, and low cost, thereby enabling effective investigation of the relationship between structural parameters and magnetic field distribution. Consequently, it has become an important tool for cathode design and optimization. Nevertheless, existing studies mainly focus on evaluation indices such as magnetic field uniformity and maximum magnetic flux density, which are insufficient to fully characterize the complexity of target-surface magnetic field distributions. In addition, effective evaluation methods for magnetic field leakage and magnetic field attenuation behaviors remain lacking, and systematic analyses of the magnetic field distribution characteristics of rotating cylindrical cathodes have yet to be established.
In this study, a two-dimensional finite element model is developed to investigate the magnetic field distribution characteristics of a four-row magnet array in a rotating cylindrical cathode. To achieve a more comprehensive evaluation of target-surface magnetic field characteristics, several magnetic field evaluation indices are proposed based on the tangential magnetic flux density, including magnetic field peak height, magnetic field peak position, magnetic field peak full width at half maximum (FWHM), magnetic field leakage ratio, and magnetic field attenuation coefficient. Specifically, the magnetic field leakage ratio characterizes the extent of magnetic field leakage in non-sputtering regions, whereas the magnetic field attenuation coefficient reflects the decay rate of the magnetic field with increasing target thickness. Reducing these two indices is beneficial for suppressing target erosion and sputtered-material contamination in non-sputtering regions, improving the deposition rate and target utilization, and enhancing the stability of coating quality during long-term sputtering processes.
The effects of key structural parameters, including magnet spacing, magnet-to-target reference distance, magnet width ratio, magnet height difference, and magnet polarization angle, on the proposed evaluation indices are systematically analyzed. The simulation results reveal distinct influence mechanisms of different structural parameters on the magnetic field distribution. Specifically, the magnet spacing strongly affects the magnetic field leakage ratio, peak height, and peak position. The magnet-to-target reference distance significantly influences the magnetic field peak height, peak position, FWHM, and attenuation coefficient. The magnet width ratio exhibits the most pronounced effect on the magnetic field leakage ratio, whereas the magnet height difference primarily affects the magnetic field peak height and leakage ratio. In contrast, the magnet polarization angle has a significant effect on the magnetic field attenuation coefficient. Based on these findings, a structural optimization design is further conducted, with the magnetic field leakage ratio and magnetic field attenuation coefficient selected as the primary optimization objectives. By optimizing magnet spacing, magnet height difference, and magnet polarization angle, the magnetic field leakage ratio and attenuation coefficient are reduced by 89.12% and 11.32%, respectively, resulting in a substantial improvement in target-surface magnetic field distribution characteristics.
This study establishes a more comprehensive framework for analyzing and evaluating magnetic field distributions of rotating cylindrical cathodes, clarifies the influence mechanisms of key structural parameters, and provides theoretical guidance for the structural design and optimization of magnetron sputtering cathodes. The proposed methodology and findings offer significant engineering value for improving sputtering uniformity, target utilization, and coating quality.

关键词

旋转圆柱阴极 / 磁场仿真 / 磁场评价指标 / 结构参数 / 结构优化

Key words

rotating cylindrical cathode / magnetic field simulation / magnetic field evaluation indices / structural parameters / structural optimization

引用本文

导出引用
张南, 彭定强, 黄吉裕, 罗骞, 伍三忠. 旋转圆柱阴极的磁场设计与仿真分析[J]. 表面技术. 2026, 55(12): 287-297
ZHANG Nan, PENG Dingqiang, HUANG Jiyu, LUO Qian, WU Sanzhong. Magnetic Field Design and Simulation Analysis of Rotating Cylindrical Cathodes[J]. Surface Technology. 2026, 55(12): 287-297
中图分类号: TB43   

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基金

广东省“璀璨行动”项目(CC/XM-202401ZJ0201)

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