Multipole magnet

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Multipole magnets are magnets built from multiple individual magnets, typically used to control beams of charged particles. Each type of magnet serves a particular purpose.

Magnetic field equations[edit]

The magnetic field of an ideal multipole magnet in an accelerator is typically modeled as having no (or a constant) component parallel to the nominal beam direction ( direction) and for the transverse components can be written as complex numbers:[2]

where and are the coordinates in the plane transverse to the nominal beam direction. is a complex number specifying the orientation and strength of the magnetic field. and are the components of the magnetic field in the corresponding directions. Fields with a real are called 'normal' while fields with purely imaginary are called 'skewed'.

First few multipole fields
n name magnetic field lines example device
1 dipole
Magnetic field of an idealized dipole.svg
2 quadrupole
Magnetic field of an idealized quadrupole.svg
3 sextupole
Magnetic field of an idealized sextupole.svg