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Injection System Modeling

Injection System Modeling A.Drozhdin. The expansion coefficients , with respect to magnet center in the injection system bump magnets. The field harmonics

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Injection System Modeling

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  1. Injection System Modeling A.Drozhdin The expansion coefficients , with respect to magnet center in the injection system bump magnets. The field harmonics in the injection system bump magnets.

  2. April 20, 2005 A.Drozhdin The MAD program multipole coefficients of the order n with respect to the magnet center for 0.4 GeV protons at new injection and extraction bump magnets. Input data to STRUCT code.

  3. April 20, 2005 A.Drozhdin The MAD program multipole coefficients of the order n with respect to the beam position in the magnet aperture for 0.4~GeV protons at new injection and extraction bump magnets. Injection system: circulating beam is located at X=-40.0 mm from magnet center at bump1 and bump3, and at X=+4.4 mm from magnet center at bump2. Extraction system: circulating beam is located at X=0 from magnet center at bump1 and bump4, and at X=-25.4 mm from magnet center at bump2 and bump3. Input data to MAD code.

  4. April 20, 2005 A.Drozhdin Fermilab Booster horizontal (top), vertical (middle) beta-functions and dispersion (bottom) at injection for new proposed and existing injection scheme. MAD calculations. New injection scheme reduces vertical beta functions by 17% from 25.8 m to 21.9 m.

  5. April 20, 2005 A.Drozhdin Fermilab Booster horizontal (top), vertical (middle) beta-functions and horizontal dispersion (bottom) at injection for new proposed injection scheme. MAD and STRUCT calculations.

  6. April 20, 2005 A.Drozhdin Fermilab Booster horizontal (top), vertical (middle) beta-functions and dispersion (bottom) at injection for new proposed injection scheme with and without nonlinear field harmo-nics. MAD calculations.

  7. April 20, 2005 A.Drozhdin Horizontal (top) and vertical (middle and bottom) closed orbit at injection with and without nonlinear field harmonics in the injection and extraction bump magnets.

  8. April 20, 2005 A.Drozhdin Horizontal (top) and vertical (bottom) closed orbit with ideal injection and extraction bump magnets and bump magnets with nonlinear field harmonics.

  9. April 20, 2005 A.Drozhdin Top - horizontal closed orbit with extraction and injection bumps with nonlinear field harmonics with and without orbit correction. Orbit correction is performed by dipole corrector HL01 (BL=-0.007064 kG-m) and HL02 (BL=+0.003 kG-m). Bottom - only quadrupole component is taken in the injection bump magnets. Orbit correction is perfor-med by dipole corrector HL01 (BL=-0.007318 kG-m) and HL02 (BL=+0.0036 kG-m). and STRUCT calculations.

  10. April 20, 2005 A.Drozhdin Orbit bump strength during injection (top) and circulating beam position (bottom) at turn No.1 (start of injection), No.10 (end of injection) and turns No.20, 30, 40, 60, 80 and 100 with nonlinear field in bump magnets.

  11. April 20, 2005 A.Drozhdin 3-sigma_x (left) and 3-sigma_y (right) ellipses of circulating beam injected at the first turn of injection are shown at turn No.1, 10, 20, 30, 40, 60, 80 and 100 with nonlinear field harmonics in bump magnets. Each particle has both horizontal and vertical betatron amplitude of 3 sigma_x,y.

  12. April 20, 2005 A.Drozhdin 3-sigma_x (left) and 3-sigma_y (right) ellipses of circulating beam at turns No.1, 10, 40 and 100 with and without nonlinear field harmonics in bump magnets.

  13. April 20, 2005 A.Drozhdin Conclusions New injection scheme reduces vertical beta functions by 17% from 25.8 m to 21.9 m. There is a horizontal closed orbit deviation of ~2.5 mm at injection because of gradient term in the bump magnets. It can be corrected by two fast (20-turn ramp) correctors of BL=0.007 KG-m. Nonlinear field in the orbit bump magnets do not give a visible effect to the beam parameters during injection.

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