10.65 MRFDF—Zero-length Multipole RF DeFlector from dipole to decapole

Zero-length Multipole RF DeFlector from dipole to decapole
Parallel capable? : yes
GPU capable? : no
Back-tracking capable? : no






Parameter Name UnitsType Default

Description






FACTOR double1

A factor by which to multiply all components.






TILT RADdouble0.0

rotation about longitudinal axis






A1 V∕m double0.0

Vertically-deflecting dipole






A2 V∕m2double0.0

Skew quadrupole






A3 V∕m3double0.0

Skew sextupole






A4 V∕m4double0.0

Skew octupole






A5 V∕m5double0.0

Skew decapole






B1 V∕m double0.0

Horizontally-deflecting dipole






B2 V∕m2double0.0

Normal quadrupole






B3 V∕m3double0.0

Normal sextupole






B4 V∕m4double0.0

Normal octupole






B5 V∕m5double0.0

Normal decapole






FREQUENCY1 HZ double2856000000

Dipole frequency






FREQUENCY2 HZ double2856000000

Quadrupole frequency






FREQUENCY3 HZ double2856000000

Sextupole frequency






FREQUENCY4 HZ double2856000000

Octupole frequency






FREQUENCY5 HZ double2856000000

Decapole frequency






PHASE1 HZ double0.0

Dipole phase






PHASE2 HZ double0.0

Quadrupole phase






PHASE3 HZ double0.0

Sextupole phase






PHASE4 HZ double0.0

Octupole phase






PHASE5 HZ double0.0

Decapole phase






PHASE_REFERENCE long 0

phase reference number (to link with other time-dependent elements)






GROUP string NULL

Optionally used to assign an element to a group, with a user-defined name. Group names will appear in the parameter output file in the column ElementGroup






This element simulates an rf deflector with specified multipole content.

Assuming for simplicity that y = 0, the momentum change in the horizontal plane is

             5
       -e---∑      i- 1
Δpx =  mc2k    ibix   cosϕi,
            i=1
(95)

where k = ω∕c and px = βxγ. The deflection is

   ′   Δpx
Δx  ≈  ----,
       pz
(96)

where the approximation results from the fact that pz = βzγ also changes in order to satisfy Maxwell’s equations.

MULT