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SRF Basics

SRF Basics. Part I : Superconductivity Basics Part II : SRF Cavity Peculiarities Cavity Design & Constraints Part III : ILC BCD Cavity. Part I Superconductivity Basics. Evolution of Understanding Phenomenology & Theory Approximation Condition Predictions.

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SRF Basics

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  1. SRF Basics • Part I : Superconductivity Basics • Part II : SRF Cavity Peculiarities Cavity Design & Constraints • Part III : ILC BCD Cavity Hayama ILC Lecture, 2006.5.23

  2. Part I Superconductivity Basics • Evolution of Understanding • Phenomenology & Theory • Approximation Condition • Predictions Hayama ILC Lecture, 2006.5.23

  3. Evolution of Understanding Hayama ILC Lecture, 2006.5.23

  4. Phase Transition Hc Electron Specific Heat Normal State Hc(0) Hc(T) = Hc(0) {1-t2} B = 0 Maisner State gT T Tc Tc T Hayama ILC Lecture, 2006.5.23

  5. Phase Transition Ｆｒｅｅ　Ｅｎｅｒｇｙ Ｔ Tc Hayama ILC Lecture, 2006.5.23

  6. Two Fluid Model by Gorter & Casimir Specific Heat n = nn + nS Hayama ILC Lecture, 2006.5.23

  7. n = ns + nn Two Fluid ModelLondon + Maxwell Equation Hayama ILC Lecture, 2006.5.23

  8. Hayama ILC Lecture, 2006.5.23

  9. Pippard modified London Eq. Impurity Effect Hayama ILC Lecture, 2006.5.23

  10. Success of Two Fluid Model • Specific Heat • Maisner Effect • T Dependence of Hc • Ｔ Dependence of λ • Impurity Effect Hayama ILC Lecture, 2006.5.23

  11. Ginzburg – Landau Phenomenology • Not Uniform • Not Independent on • Near Tc　Ａｐｐｒｏｘｉｍａｔｉｏｎ; << 1 • No Dynamics Hayama ILC Lecture, 2006.5.23

  12. Gintzburg – Landau Equation Stable State is Free Energy minimum Hayama ILC Lecture, 2006.5.23

  13. Outputs from GL Equation Step I > Tc = Tc G < Tc Hayama ILC Lecture, 2006.5.23

  14. Step II Hayama ILC Lecture, 2006.5.23

  15. Step III Hayama ILC Lecture, 2006.5.23

  16. Coherence Length Hayama ILC Lecture, 2006.5.23

  17. Appearance of Superconductivity Minimum Eigen Value Hayama ILC Lecture, 2006.5.23

  18. Boundary Energy ξ λ x From Step III Normal Super Hayama ILC Lecture, 2006.5.23

  19. Boundary Energy Results Hayama ILC Lecture, 2006.5.23

  20. ＡｂｒｉｋｏｓｏｖBoundary Energy of Fluxoid Cylindrical Coordinate, Bulk 2m0Hc1 B r Hayama ILC Lecture, 2006.5.23

  21. Fluxoid Energy κ>>1 Hayama ILC Lecture, 2006.5.23

  22. Fluxoid Parallel to the Surface Bean – Livingston, de Gennes κ>>1 Hayama ILC Lecture, 2006.5.23

  23. Phase Diagram of Type II Superconductor Bulk Parallel to Surface HC3 Normal State HC2 Mixed State HC HC HC1 HS Meisnner State T T Hayama ILC Lecture, 2006.5.23

  24. Ｇｏｒｋｏｖshowed using BCS Theory T ~ TC Hayama ILC Lecture, 2006.5.23

  25. Typical Superconductor Hayama ILC Lecture, 2006.5.23

  26. Flohrich Isotope Effect k - q k’- q k’+ q k + q Phonon q q k k’ k k’ Hayama ILC Lecture, 2006.5.23

  27. Fermi Distribution εＦ N(e) Fermi Sphere ε εＦ Hayama ILC Lecture, 2006.5.23

  28. Cooper Pair Interaction Amplitude Occupied vk vk’ Empty uk uk’ vk2 + uk2 = 1 vk’2 + uk’2 = 1 Hayama ILC Lecture, 2006.5.23

  29. Total Energy of the System Hayama ILC Lecture, 2006.5.23

  30. vk2 uk2 2Δｋ Hayama ILC Lecture, 2006.5.23

  31. T=0 Hayama ILC Lecture, 2006.5.23

  32. Prediction of BCS Theory Hayama ILC Lecture, 2006.5.23

  33. Near Tc Hayama ILC Lecture, 2006.5.23

  34. Ｔ～０ Hayama ILC Lecture, 2006.5.23

  35. RF Surface Resistance Hayama ILC Lecture, 2006.5.23

  36. London Hayama ILC Lecture, 2006.5.23

  37. BCS Surface Resistance Hayama ILC Lecture, 2006.5.23

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