2018
DOI: 10.1063/1.5024983
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Reconstruction of the static magnetic field of a magnetron

Abstract: The simulation of magnetron discharges requires a quantitatively correct mathematical model of the magnetic field structure. This study presents a method to construct such a model on the basis of a spatially restricted set of experimental data and a plausible a priori assumption on the magnetic field configuration. The example in focus is that of a planar circular magnetron. The experimental data are Hall probe measurements of the magnetic flux density in an accessible region above the magnetron plane [P. D. M… Show more

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Cited by 21 publications
(26 citation statements)
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“…For a type II unbalanced configuration, a magnetic null point is always present and the far-field dipole moment is dominated by the outer ring of magnets and the dominant electron losses are axial rather than radial. An analytical representation of the assumed field configuration for a cylindrical magnet system consisting of permanent magnets, a central and an annular outer ring magnets, in terms of generalized hyper-geometric function is given by Krüger et al (2018). They demonstrate how these functions can be fitted to experimental data, like those presented in figure 8, with a least square method to achieve a fully analytical field model for a given magnet system.…”
Section: Balanced-unbalanced Magnetron Sputteringmentioning
confidence: 99%
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“…For a type II unbalanced configuration, a magnetic null point is always present and the far-field dipole moment is dominated by the outer ring of magnets and the dominant electron losses are axial rather than radial. An analytical representation of the assumed field configuration for a cylindrical magnet system consisting of permanent magnets, a central and an annular outer ring magnets, in terms of generalized hyper-geometric function is given by Krüger et al (2018). They demonstrate how these functions can be fitted to experimental data, like those presented in figure 8, with a least square method to achieve a fully analytical field model for a given magnet system.…”
Section: Balanced-unbalanced Magnetron Sputteringmentioning
confidence: 99%
“…where v e,⊥ is the electron speed perpendicular to the magnetic field B. Typical values for r ce in a magnetron sputtering discharge are < 1 mm for thermalized (cold) electrons and up to 20 mm for secondary (hot) electrons (Krüger et al 2018). This means that electrons in the target vicinity have gyration radius that is much smaller than the characteristic size of the confining magnetic field structure, that is the electrons are magnetized.…”
Section: Magnetic Confinementmentioning
confidence: 99%
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“…In this planar circular magnetron configuration, the static magnetic field is arranged in such a way that the electrons drift azimuthally. The magnetic field strength is typically in the range 20-50 mTesla [3], so the electrons are magnetized, while the magnetic field does not influence the ion trajectories directly [5].…”
Section: Introductionmentioning
confidence: 99%
“…The discharge was created using a planar magnetron assembly (Thin Film Consulting IX2U) suitable for round targets with a diameter of 50 mm or 2 . The magnetic field configuration for this magnetron assembly was reconstructed from measurements according to the method of Krüger et al and is shown as part of figure 1(b) [19]. The measurement was performed on a magnetron assembly of the same model (Thin Film Consulting IX2U) using a Hall probe.…”
Section: Chamber and Dischargementioning
confidence: 99%