18
E. Wilson and B. J. Holzer
Fig. 2.3 Geometry of a particle trajectory in a bending magnet of length and deflecting angle θ
A useful rule of thumb formula based on these units is:
Bρ [T · m ] = 3.3356 pc [GeV ] .
(2.3)
2.1.4 Particle Trajectory in a Dipole Bending Magnet
The trajectory of a particle in a bending magnet or dipole of length is shown in
Fig. 2.3. Usually the magnet is placed symmetrically about the arc of the particle’s
path. One may see from the geometry that:
sin (θ/2) =
2
=
B
2 (BB)
,
(2.4)
and, if θ << π/2
θ ≈
B
(BB)
.
(2.5)
So the bending angle provided by a dipole magnet is given by the ration of its
integrated field strength and the beam rigidity.
E. Wilson and B. J. Holzer
Fig. 2.3 Geometry of a particle trajectory in a bending magnet of length and deflecting angle θ
A useful rule of thumb formula based on these units is:
Bρ [T · m ] = 3.3356 pc [GeV ] .
(2.3)
2.1.4 Particle Trajectory in a Dipole Bending Magnet
The trajectory of a particle in a bending magnet or dipole of length is shown in
Fig. 2.3. Usually the magnet is placed symmetrically about the arc of the particle’s
path. One may see from the geometry that:
sin (θ/2) =
2
=
B
2 (BB)
,
(2.4)
and, if θ << π/2
θ ≈
B
(BB)
.
(2.5)
So the bending angle provided by a dipole magnet is given by the ration of its
integrated field strength and the beam rigidity.