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Helical FOFO snake check with G4BL

1. Helical FOFO snake check with G4BL MICCD (Methodical Ionization Cooling Channel Design) uses canonical variables and vector-potential for electromagnetic fields) G4BL uses coordinates and slopes and separate maps for electric and magnetic fields.

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Helical FOFO snake check with G4BL

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  1. 1 • Helical FOFO snake check with G4BL • MICCD (Methodical Ionization Cooling Channel Design) uses canonical variables and vector-potential for electromagnetic fields) • G4BL uses coordinates and slopes and separate maps for electric and magnetic fields. One period of helical snake, tilts are exaggerated Y.Alexahin, MCTF meeting 10/16/2008

  2. 2 No absorbers & RF MICCD: magnetic field via vector-potential series expansion in x,y (up to 5th order) G4BL: superposition of field-maps pz [MeV/c] x [cm] z [cm] z [cm] y [cm] Periodic orbit: MICCD – red, G4BL – blue In the following I used G4BL with field-map computed with MICCD z [cm] Y.Alexahin, MCTF meeting 10/16/2008

  3. 3 Absorbers & RF in MICCD: RF phase evenly incremented G4BL: RF phase adjusted w.r.t. the reference particle x [cm] ptot [MeV/c] z [cm] something wrong with RF! z [cm] pz [MeV/c] y [cm] z [cm] z [cm] Y.Alexahin, MCTF meeting 10/16/2008

  4. 4 RF magnetic field MICCD: Bphi and Ez from the same Az G4BL: Bphi and Ez computed separately x [cm] Red: MICCD with Bphi=0 Blue: G4BL Tom please turn Bphi on! Otherwise everything looks perfect. z [cm] y [cm] z [cm] Y.Alexahin, MCTF meeting 10/16/2008

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