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Multipole magnet : ウィキペディア英語版
Multipole magnet
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.
* Dipole magnets are used to bend the trajectory of particles
* Quadrupole magnets are used to focus particle beams
* Sextupole magnets are used to correct for chromaticity introduced by quadrupole magnets 〔http://cas.web.cern.ch/cas/Bulgaria-2010/Talks-web/Brandt-1-web.pdf〕
==Magnetic field equations==

The magnetic field of an ideal multipole magnet in an accelerators is typically modeled as having no (or a constant) component parallel to the nominal beam direction (z direction)
and the for the transverse components can be written as complex numbers:〔http://cas.web.cern.ch/cas/Belgium-2009/Lectures/PDFs/Wolski-1.pdf〕

B_y + i B_x = C_n \cdot ( x + iy )^

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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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