Abstract The impact of an inhomogeneous magnetic field generated by supplementary direct current coils on the uniformity of capacitively coupled discharges is examined utilizing a two-dimensional implicit particle-in cell/Monte Carlo model. Typically, at low-pressure, the radial density distribution of plasma is characterized by a high density at the center of the chamber and a lower density near the periphery. This results in nonuniform radial plasma density profiles and large ion impact angles at the electrode. We find that placing a direct current coil above the chamber produces a non-uniform static magnetic field, which facilitates the transport of plasma species toward the electrode periphery, resulting in a more uniform plasma density distribution. Nonetheless, this approach leads to a decrease in central density and adversely affects the ion incident angles near the chamber's center. Consequently, this compromise undermines both the efficiency and uniformity of processes occurring in the central region of the chamber. To overcome these limitations, we propose innovative coil configurations, specifically dual direct current coils comprising an inner and an outer coil. The outer coil, situated above the chamber, has a larger radius, while the inner coil, positioned either above or below the chamber, has a smaller radius. Additionally, the currents in the inner and outer coils flow in opposite directions. Our findings indicate that the outer coil predominantly governs the density distribution across the entire electrode surface, while the inner coil allows for precise adjustment of the plasma density near the discharge center. Therefore, by adjusting the currents of the outer and inner coils, significant improvements can be achieved in both the uniformity of plasma density and the vertical alignment of the ion angles above the electrode. These factors are critical for the fabrication of high aspect ratio microelectronic structures.
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