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FAST RISING KICKER MAGNET

FAST RISING KICKER MAGNET. FAST RISING KICKER SHOULD BE ABLE TO RISE BETWEEN TWO SYNCHROTRON BUNCHES RISE TIME <<1 -6 SEC. MAGNETIC STEEL LAMINATION IS NOT SUITABLE FOR THIS PERPOSE FERRITE MATERIAL IS USED FOR THE CORE USUALLY SATURATE AROUND 5 KG AND SOME EVEN LESS

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FAST RISING KICKER MAGNET

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  1. FAST RISING KICKER MAGNET • FAST RISING KICKER SHOULD BE ABLE TO RISE BETWEEN TWO SYNCHROTRON BUNCHES • RISE TIME <<1-6 SEC. • MAGNETIC STEEL LAMINATION IS NOT SUITABLE FOR THIS PERPOSE • FERRITE MATERIAL IS USED FOR THE CORE • USUALLY SATURATE AROUND 5 KG AND SOME EVEN LESS • THE CURIE TEMPERRATURE FOR THE FERRITS ARE ABOUT 100 TO 200OC SO CAREFUL NOT TO HEAT THE CORE • USUALLY CONSTRUCTED AS A WIDOWFRAME OR C MAGNET

  2. Magnet rise time L=Lmagnet+Lstray About 0.5 to 1 mH Not practical to reduce inductance less than 1mH In general construct single turn

  3. - PS + When installed in a synchrotron the magnetic core Should be cut at the neutral point and install a Conductor strip to block circulating RF from the Beam current No such problem for C-magnets

  4. + PS - PS Use two power supplies to reduce magnet’s Inductive load to half per power supply

  5. QUADRUPOLES AND MULTIPOLES

  6. Equation of equipotential surface for dipole B r For higher poles one can use the concept of conformal mapping and fold over For quadrupole g Equation of a hyperbola For sextupole

  7. E and M equations Conformal mapping method tells us that hyperbolic surface poles With infinite permeability makes good quadrupoles

  8. QUADRUPOLES WITH HYPERBOLIC POLES One quadrant of hyperbolic pole quadrupole shown schematically The equation of hyperbola can be written

  9. Because there is 4-fold symmetry only allowed terms are As shown at And achieved good field region 80% of Pole radius

  10. Quadrupole with circular pole By choosing pole radius R and cut off angle,one can Make lowest multipole to vanish

  11. As shown vanish at Unlike hyperbola Range of good field Parameter is very narrow

  12. Because the magnet tend to be large and bulky More compact circular pole quadrupole design has been proposed Parameters are depend on

  13. For other

  14. QUADRUPOLE WITH SQUARE POLE

  15. The case was for the We can find other cases, a few example

  16. IRON SATURATION EFFECT Empirical rule for iron saturation effect on 4-fold symmetric quadrupoles depends only on the pole tip field at the center of the pole And can be scaled linearly with of the pole field

  17. END EFFECT IN QUADRUPOLE Magnetic length Multi-pole due to end Where E is end geometry factor

  18. END EFFECT COMPENSATION Cutting the end of the pole introduces b5 and can be used to reduce or eliminate the multi-pole For chamfer cut of 45o there is a Empirical formula c Meaning cut will cancel the Multipole component However it is more complicated than the equation presents, and using this as a stating pont to make differential calculation

  19. Effective length

  20. ACCELERATOR QUADRUPOLE DESIGN Trim the end to eliminate B5 Best is to start from existing good pole profile

  21. SEXTUPOLE

  22. Sextupole with circular pole

  23. Octupoles

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