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Various approaches to electromagnetic field simulations for RF cavities

Various approaches to electromagnetic field simulations for RF cavities. Cong Liu, Wolfgang F.O. Müller, Wolfgang Ackermann, Thomas Weiland Institut für Theorie Elektromagnetischer Felder ( TEMF), TU Darmstadt.

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Various approaches to electromagnetic field simulations for RF cavities

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  1. Various approaches to electromagnetic field simulations for RF cavities Cong Liu, Wolfgang F.O. Müller, Wolfgang Ackermann, Thomas Weiland Institut für Theorie Elektromagnetischer Felder (TEMF), TU Darmstadt First Open Collaboration Meeting on Superconducting Linacs for High Power Proton Beams (SLHiPP-1) 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 1

  2. Outline • Field simulation with hexahedron mesh in time domain • Field simulation with hexahedron mesh in frequency domain • Field simulation with tetrahedral mesh and higher order curvilinear elements • Conclusion and Outlook 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip -Ing. Cong Liu | 2

  3. Field Simulation with Hexahedron Mesh in Time Domain Calculation of eigenmodes frequencies and shunt impedances with Transient Solver in CST MICROWAVE STUDIO® SPL Cavity 704.4MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 3

  4. Field Simulation with Hexahedron Mesh in Time Domain Detect and record the electromagnetic field in time domain 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 4

  5. Field Simulation with Hexahedron Mesh in Time Domain Eigenmode Spectrum TM110 Passband TM010, 5/5π f = 703.755 MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 5

  6. Field Simulation with Hexahedron Mesh in Time Domain Field Monitor in Transient Solver can be defined The field data of eigenmodes can be achieved after the second simulation TM010, 5/5π f = 703.755 MHz Meshcells = 50 Million 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 6

  7. Field Simulation with Hexahedron Mesh in frequency Domain Calculation of eigenmodesfrequencies and shunt impedances with Eigenmode Solver in CST MICROWAVE STUDIO® Eigenmodes frequencies convergence in TM010 Passband 704.33 Hex Mesh 12 Million Hex Mesh 6 Million Hex Mesh 4.5 Million Hex Mesh 2 Million Hex Mesh 0.5 Million Hex Mesh 0.1 Million TM010, 1/5π TM010, 2/5π TM010, 3/5π TM010, 4/5π TM010, 5/5π 688 690 692 694 696 698 700 702 704 706 Frequency / MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 7

  8. Field Simulation with Hexahedron Mesh in frequency Domain Shunt Impedance (R/Q) convergence for TM010, 5/5π 565.089 Hex Mesh 12 Million Hex Mesh 6 Million Hex Mesh 4.5 Million Hex Mesh 2 Million Hex Mesh 0.5 Million 561 562 563 564 565 566 Shunt Impedance (R/Q) / Ω Slow convergence of frequency and shunt impedance (R/Q) ! 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 8

  9. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Symmetric tetrahedral mesh grids 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 9

  10. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Fast convergence of frequency Eigenmodes frequencies convergence in TM010 Passband 704.39764 Tet Mesh 6 Million Tet Mesh 4.5 Million Tet Mesh 2 Million Tet Mesh 1 Million Tet Mesh 0.5 Million Tet Mesh 0.1 Million TM010, 1/5π TM010, 2/5π TM010, 3/5π TM010, 4/5π TM010, 5/5π 688 690 692 694 696 698 700 702 704 706 Frequency / MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 10

  11. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Fast convergence of shunt impedance (R/Q) Shunt Impedance (R/Q) convergence for TM010, 5/5π 565.452 Tet Mesh 6 Million Tet Mesh 4.5 Million Tet Mesh 2 Million Tet Mesh 1 Million Tet Mesh 0.5 Million Tet Mesh 0.1 Million 564 565 566 567 Shunt Impedance (R/Q) / Ω 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 11

  12. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Fast convergence of HOM’s frequencies Eigenmodes frequencies convergence in TM110 Passband Tet Mesh 6 Million Tet Mesh 4.5 Million Tet Mesh 2 Million Tet Mesh 1 Million Tet Mesh 0.5 Million Tet Mesh 0.1 Million TM110, 3/5π TM110, 4/5π TM110, 5/5π 1.012 1.014 1.016 1.018 1.022 1.024 1.025 Frequency / GHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 12

  13. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements HOM’s mode with higher R/Q values (β = 1) 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 13

  14. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Comparison with the Hexahedron Mesh method in frequency domain Frequencies convergences of eigenmodes in TM010 Passband Hex Mesh 0.1M Hex Mesh 0.5 Million Hex Mesh 2 Million Hex Mesh 4.5 Million Hex Mesh 6 Million Hex Mesh 12 Million Tet Mesh 6 Million Tet Mesh 4.5 Million Tet Mesh 2 Million Tet Mesh 1 Million Tet Mesh 0.5 Million Tet Mesh 0.1 Million TM010, 1/5π TM010, 2/5π TM010, 3/5π TM010, 4/5π TM010, 5/5π 689 691 693 695 697 699 701 703 705 Frequency / MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 14

  15. Field Simulation with Tetrahedral Mesh and Higher Order Curvilinear Elements Time needed to calculate the eigenmodes in TM010 Passband 103 102 101 100 Time needed for simulation / Min 704.15 704.20 704.25 704.30 704.35 704.40 Frequency of TM010, 5/5π / MHz 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip.-Ing. Cong Liu | 15

  16. Conclusion and Outlook • The eigenmode analysis with hexahedral mesh grids in frequency domain and time domain are not ideal approaches to electromagnetic field simulations for elliptical SPL cavity. • The eigenmode analysis with tetrahedral mesh grids and higher order curvilinear elements is highly efficient and accurate. 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip -Ing. Cong Liu | 16

  17. Conclusion and Outlook • The frequencies and the shunt impedances of higher order modes up to 3GHz will be calculated accurately. • The HOM coupler will be considered for the effective damping of higher order modes in the SPL cavity. 06.12.2011| TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dip -Ing. Cong Liu | 17

  18. Thank you for your attention!

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