10.66 MULT—A canonical kick multipole.

A canonical kick multipole.
Parallel capable? : yes
GPU capable? : no
Back-tracking capable? : no






Parameter Name Units Type Default

Description






L M double0.0

length






KNL M-ORDERdouble0.0

integrated geometric strength






TILT RAD double0.0

rotation about longitudinal axis






BORE M double0.0

bore radius






BTIPL TM double0.0

integrated field at pole tip, used if BORE nonzero






DX M double0.0

misalignment






DY M double0.0

misalignment






DZ M double0.0

misalignment






FACTOR double1

factor by which to multiply strength






ORDER short 1

multipole order






N_KICKS short 4

number of kicks






SYNCH_RAD short 0

include classical, single-particle synchrotron radiation?






EXPAND_HAMILTONIAN short 0

If 1, Hamiltonian is expanded to leading order.






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 a multipole element using 4th-order sympletic integration. A single multipole order, n, is given. The multipole strength is specified by giving

       (      )
         ∂nBy-       -L-
KnL  =    ∂xn   x=y=0B ρ,
(97)

where is the beam rigidity. A quadrupole is n = 1, a sextupole is n = 2, and so on.

The relationship between the pole tip field and KnL is

       n!BtipL
KnL  = -rn(B-ρ)-,
(98)

where r is the bore radius.

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