The surface roughness of a mask surface strongly limits the perfect pattern transfer from the mask to the substrate during the plasma etching process, which results in the deformation of etched features and greatly damages the mask pattern. For the understanding and, ultimately, the control of roughness, the interplay between two adjacent mask holes with nanoscale roughness profile under charging effects was investigated based on a reliable modeling framework. This study first verified that two adjacent mask holes with same/different roughness (i.e., same/different amplitude and wavelength) as well as with various sizes can lead to obviously different distributions of electric field (E-field), etching rate, and the profile evolution. These distributions are quite unlike those of an isolated hole. This work next shows that the interaction between two holes cannot be ignored. Specifically, the E-field strength and the etching rate in the area between two holes are weaker than those in the outermost area. As a result, the profiles moved away from each other. Then, charging phenomenon on a channel hole with a common source line slit trench structure was also studied. The mechanism was systematically analyzed. This work will aid in the understanding of the physical property of the mask and might optimize the etching technology.
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