Path Calculation of Charged Particles
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Overview

JMAG provides a feature for calculating the paths of charged particles in an electromagnetic field (See Figure 1). Since the results from a magnetic field analysis run by JMAG can be used as well as an uniform electromagnetic field, this is applicable to a wide variety of problems such as the yoke of a cathode-ray tube, coils or shields. The magnetic field distribution in space is independent of the mesh during the path calculation, which allows for precise and effective analysis.
Analysis example 1 calculates the path of electrons plunging into an electromagnet (See Figure 2). In addition to the path, the force and magnetic field applied to the particles at each position can be output as results of the calculation.

Path calculation of charged particles in an electromagnetic field Path calculation of electrons plunging into an electromagnet
Figure 1 - Path calculation of charged particles in an electromagnetic field
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Figure 2 - Path calculation of electrons plunging into an electromagnet
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In analysis example 2, the paths of electrons in the vicinity of a magnet are calculated using JMAG and are compared to the theoretical solutions (See Figure 3). It can be seen that the results obtained with JMAG correspond well to the theoretical solutions. Figure 4 shows the situation at different initial velocities. It can be seen that the paths of the electrons are circular due to the large effect of the magnetic field at the slow initial velocity, and that the curvature decreases as the velocity increases.

Path of particles around magnet fragments-comparison with theoretical solutions Paths with different initial velocities
Figure 3 - Path of particles around magnet fragments-comparison with theoretical solutions
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Figure 4 - Paths with different initial velocities
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