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Concept
Dipole magnet
Summary
A dipole magnet is the simplest type of magnet. It has two poles, one north and one south. Its magnetic field lines form simple closed loops which emerge from the north pole, re-enter at the south pole, then pass through the body of the magnet. The simplest example of a dipole magnet is a bar magnet.
In particle accelerators, a dipole magnet is the electromagnet used to create a homogeneous magnetic field over some distance. Particle motion in that field will be circular in a plane that is perpendicular to the field and collinear to the direction of particle motion, and free in the direction orthogonal to it.
Thus, a particle injected into a dipole magnet will travel on a circular or helical trajectory. By adding several dipole sections on the same plane, the bending radial effect of the beam increases.
In accelerator physics, dipole magnets are used to realize bends in the design trajectory (or 'orbit') of the particles, as in circular accelerators. Other uses include:
Injection of particles into the accelerator
Ejection of particles from the accelerator
Correction of orbit errors
Production of synchrotron radiation
The force on a charged particle in a particle accelerator from a dipole magnet can be described by the Lorentz force law, where a charged particle experiences a force of
(in SI units). In the case of a particle accelerator dipole magnet, the charged particle beam is bent via the cross product of the particle's velocity and the magnetic field vector, with direction also being dependent on the charge of the particle.
The amount of force that can be applied to a charged particle by a dipole magnet is one of the limiting factors for modern synchrotron and cyclotron proton and ion accelerators. As the energy of the accelerated particles increases, they require more force to change direction and require larger B fields to be steered. Limitations on the amount of B field that can be produced with modern dipole electromagnets require synchrotrons/cyclotrons to increase in size (thus increasing the number of dipole magnets used) to compensate for increases in particle velocity.
Official source
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