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Welcome to the Virtual Visitor Center at SLAC

Virtual Visitor Center at SLAC

More About Magnets

End view diagram of a quadrapole magnet
End View

The figure at left shows the magnetic field lines for a quadrupole magnet and the corresponding forces on a negative particle traveling into the picture.

Note:

  • A particle moving directly through the middle feels no force. The force felt by a particle gets bigger the further out the particle is from the center
  • Forces on a bunch of particles will squeeze the bunch in the vertical direction, but spread the bunch in the horizontal plane.
    • This is the reason it takes two dipole magnets to achieve a focusing effect on the bunch.

Angle view drawing of a quadrapole magnet

Angle View

This figure shows a pair of quadrupole magnets --note that the second has the north and south poles reversed compared to the first. This magnet will squeeze in the horizontal plane and spread in the vertical.

Side and top views (below) of a electron bunch traveling through a pair of quadrupole magnets, showing how net shrinking of the bunch size is achieved.

Side View (in plane) of a quadrupole magnet

Side View (in plane)

Top view (perpendicular plane) of a quadrupole magnet

Top view (perpendicular plane)

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