Trajectory of a Charged Particle in a Time-Varying Magnetic Field.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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An analysis of the motion of a single charged particle in a uniform time-varying BB sub zero sin omega t magnetic field is made assuming cylindrical symmetry. The collisionless, nonrelativistic case results in a form of Mathieus differential equation. The solution of Mathieus equation can be either stable time-bounded or unstable depending upon the ratio of cyclotron frequency to magnetic field frequency. Several examples of orbits are drawn for various values of cyclotron frequency, field frequency, and initial velocity. Author
- Fusion Devices (Thermonuclear)
- Electricity and Magnetism
- Plasma Physics and Magnetohydrodynamics