Test3d04, 4th 'benchmark test' data file for CPO3D
Relativistic cyclotron motion
This provides a test of the motion of a relativistic electron of energy 10 MeV in a uniform magnetic field of strength 1 Tesla. The radius of the cyclotron orbit is accurately reproduced.
Table of exact diameters:
|
Magnetic field(T) |
energy (eV) |
diameter (mm) |
|
0.02 |
1.E5 |
111.73 |
|
0.05 |
3.E5 |
116.40 |
|
0.1 |
1.E6 |
94.864 |
|
0.2 |
3.E6 |
115.87 |
|
1.0 |
1.E7 |
70.04 |
|
3.0 |
3.E7 |
67.84 |
|
10.0 |
1.E8 |
67.05 |
|
100.0 |
1.E10 |
66.72 |
In fact the answers are almost exact, because the program senses that the magnetic forces dominate the electric forces and so switches to a mode of ray tracing based on the known helical motion in a uniform magnetic field.
For details see the note on integrating relativistic equations of motion.