scholarly journals Exploring the evolution of asymmetric pattern of mask hole during plasma etching process by particle simulation method

2019 ◽  
Vol 12 ◽  
pp. 1747-1753 ◽  
Author(s):  
Peng Zhang
2019 ◽  
Vol 26 (04) ◽  
pp. 1850168 ◽  
Author(s):  
P. ZHANG

Damage on the mask surface caused by charging effect during plasma etching process continues to attract much attention currently. For example, the round shape of holes can be changed into hexagonal shape. In our previous paper, the reason for this phenomenon has been explained through a particle simulation approach [P. Zhang et al., Plasma Sci. Technol. 15 (2013) 570]. However, it has been observed that the round shape of holes in a mask can also be etched into an asymmetric shape due to factors such as nonuniform plasma source, inclination or vibration of sample platform, etc. This work further aims to explore the charging effect when the round-shaped holes in a mask have been changed into asymmetric-shaped ones by particle simulation method. The distribution of electric field produced by electrons was calculated for different shaped isolated holes (round, hexagonal and asymmetric shapes) in a mask as well as various heights from the mask surface. It is found that the field strength reaches its maximum around a hole edge and presents uniform distribution for the round hole and nonuniform distribution for the hexagonal- and asymmetric-shaped holes. The nonuniform electric field distribution can affect the trajectories of ions falling on the mask surface, further enhancing the asymmetry of the mask hole shape. Additionally, the charging effect on a mask of asymmetric holes aligned in a hexagonal array is also studied. It is found that due to the alignment of holes, the charging effect is quite different from the case in an isolated hole.


Author(s):  
Hugo S. Alvarez ◽  
Frederico H. Cioldin ◽  
Audrey R. Silva ◽  
Luana C. J. Espinola ◽  
Alfredo R. Vaz ◽  
...  

1999 ◽  
Vol 28 (4) ◽  
pp. 347-354 ◽  
Author(s):  
C. R. Eddy ◽  
D. Leonhardt ◽  
V. A. Shamamian ◽  
J. R. Meyer ◽  
C. A. Hoffman ◽  
...  

2017 ◽  
Vol 34 (5) ◽  
pp. 1551-1571 ◽  
Author(s):  
Ming Xia

Purpose The main purpose of this paper is to present a comprehensive upscale theory of the thermo-mechanical coupling particle simulation for three-dimensional (3D) large-scale non-isothermal problems, so that a small 3D length-scale particle model can exactly reproduce the same mechanical and thermal results with that of a large 3D length-scale one. Design/methodology/approach The objective is achieved by following the scaling methodology proposed by Feng and Owen (2014). Findings After four basic physical quantities and their similarity-ratios are chosen, the derived quantities and its similarity-ratios can be derived from its dimensions. As the proposed comprehensive 3D upscale theory contains five similarity criteria, it reveals the intrinsic relationship between the particle-simulation solution obtained from a small 3D length-scale (e.g. a laboratory length-scale) model and that obtained from a large 3D length-scale (e.g. a geological length-scale) one. The scale invariance of the 3D interaction law in the thermo-mechanical coupled particle model is examined. The proposed 3D upscale theory is tested through two typical examples. Finally, a practical application example of 3D transient heat flow in a solid with constant heat flux is given to illustrate the performance of the proposed 3D upscale theory in the thermo-mechanical coupling particle simulation of 3D large-scale non-isothermal problems. Both the benchmark tests and application example are provided to demonstrate the correctness and usefulness of the proposed 3D upscale theory for simulating 3D non-isothermal problems using the particle simulation method. Originality/value The paper provides some important theoretical guidance to modeling 3D large-scale non-isothermal problems at both the engineering length-scale (i.e. the meter-scale) and the geological length-scale (i.e. the kilometer-scale) using the particle simulation method directly.


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