Ferrite Material Modeling (1) : Kicker principle Provide transverse kick to extract particle beam from synchrotron ring Multiple units in a single vessel Ferrite block Coil Pulse former (PFN) Support structures Strong beam coupling also in idle state PFN 0.8 m 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 1 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

Ferrite Material Modeling (2) : linear, non-linear, hysteretic behaviour Magnetic properties are given by B-H characteristics Ferrite material exhibits hysteresis saturation non-linear (piecewise linear) linear hysteretic Magnetization losses are given by the area bounded by the loop 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 2 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

Ferrite Material Modeling (3) : Complex Permeability Material datasheet provides complex permeability as a function of frequency Complex permeability maintains a linear dependency “Tilted ellipse” approximates hysteresis loop 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 3 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

Ferrite Material Modeling (4) : Dispersion Model for Time Domain Diifferent for every frequency How about time domain ? Dispersion model fit to frequency domain data [Gutschling 1998] … How does it compare ? Time domain dispersion model does not entirely capture the characteristics… 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 4 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

Ferrite Material Modeling (5) : Dispersion Model for Time Domain Split frequency range in multiple decades Matches the characteristics better but causes discontinuity of permeability and multiplies calculation time Alternate improvement: higher order dispersion model (not available at present) 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 5 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

SIS 100 Kicker : Status of Coupling Impedance Calculation (1) ~50 000 cells SIS 18 Kicker simulated by Doliwa et al. 2006 SIS 100 Kicker module measures about two times the size in all three dimensions SIS 100 Kicker features more complicated coil design Influence of dielectric spacers ? Efficiency of eddy current trap using copper inserts ? >200 000 cells 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 6 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

SIS 100 Kicker : Status of Coupling Impedance Calculation (2) Longitudinal Z Good agreement found between both methods Slight deviation as explained earlier (ferrite modeling in time and frequency domain) 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 7 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

SIS 100 Kicker : Influence of coil coupling Coil termination has significant impact on transverse Z 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 8 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

Current work Ferrite losses are sufficiently captured by traditional wakefield solver According CST higher order magnetic dispersion should yield better agreement but will not be implemented in near future Full Geometry of SIS 100 kicker system requires higher computational resources (coils, support structure and other details are included) This currently exceeds the limit of adressable memory on conventional 32bit architecture 64bit architecture should overcome this limit (in progress) Include external network impedance: lumped circuit model, testing with wake solver to gain a deeper understanding of coupling 28. November 2018 | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 9 28. November 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland