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Investigation of Standing Wave Effects on Plasma Uniformity in CCP via 2D Particle In Cell Simulation

POSTER

Abstract

Plasma non-uniformity in capacitively coupled plasma (CCP) systems can cause critical issues in semiconductor manufacturing, such as bowing and incomplete etching. To address this, we developed a two-dimensional axisymmetric Particle-In-Cell (PIC) simulation in cylindrical coordinates to investigate mitigation strategies for plasma non-uniformity induced by standing wave effects. The simulation employs an implicit ADI-FDTD scheme, a modified version of the Finite-Difference Time-Domain (FDTD) method, for electromagnetic field calculations, and incorporates a Monte Carlo Collision (MCC) model for plasma-neutral interactions. The validity of the code was verified by comparing the results of the expanding electron beam benchmark test case with those from previous studies. Furthermore, the results of the PIC simulation for the CCP geometry were compared and analyzed with those of a fluid-based simulation (COMSOL). Ultimately, this study aims to propose effective approaches for controlling high-energy ion distributions and improving plasma uniformity in CCP reactors, thereby contributing to more reliable semiconductor processing, as well as to investigate capacitive heating mechanisms such as bounce (collisionless) heating within the developed simulation framework.

Publication: [1] H.-L. Chen, B. Chen, Y. Yi, and D.-G. Fang, "Unconditionally stable ADI–BOR–FDTD algorithm for the analysis of rotationally symmetric geometries," IEEE Transactions on Antennas and Propagation, vol. 59, no. 4, pp. 1272–1280, Apr. 2011.<br>[2] V. Vahedi et al, A Monte Carlo collision model for the particle-in-cell method, Comput. Phys. Commun (1995).<br>[3] Scott O'Connor et al, IEEE transactions on plasma science, vol. 49, no. 5 (2021).<br>[4] Mattei, et al. "A fully-implicit Particle-In-Cell Monte Carlo Collision code for the simulation of inductively coupled plasmas." Journal of Computational Physics 350 (2017).<br>[5] S. O'Connor, Z. D. Crawford, J. P. Verboncoeur, J. Luginsland, and B. Shanker, "A set of benchmark tests for validation of 3-D particle in cell methods," IEEE Transactions on Plasma Science, vol. 49, no. 5, pp. 1724–1735, May 2021.

Presenters

  • Jungmin Kim

    Hanyang University

Authors

  • Jungmin Kim

    Hanyang University

  • Joonho Son

    Hanyang University, Hanyang University, Seoul

  • Yunho Jeong

    Hanyang University

  • Jiheon Song

    Hanyang University

  • Jungpyo Lee

    Hanyang University