MULT

A canonical kick multipole.

Parameter Name	Units	Type	Default	Description
L	$M$	double	0.0	length
KNL	$M^{-ORDER}$	double	0.0	integrated geometric strength
TILT	$RAD$	double	0.0	rotation about longitudinal axis
BORE	$M$	double	0.0	bore radius
BTIPL	$T M$	double	0.0	integrated field at pole tip, used if BORE nonzero
DX	$M$	double	0.0	misalignment
DY	$M$	double	0.0	misalignment
DZ	$M$	double	0.0	misalignment
FACTOR		double	1	factor by which to multiply strength
ORDER		long	1	multipole order
N_KICKS		long	4	number of kicks
SYNCH_RAD		long	0	include classical synchrotron radiation?

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

$$K_n L = \left(\frac{\partial^n B_y}{\partial x^n}\right)_{x=y=0} \frac{L}{B\rho},$$ (9)

where $B\rho$ 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 $K_n L$ is

$$K_n L = \frac{n! B_{tip} L}{r^n (B\rho)},$$ (10)

where $r$ is the bore radius.