RELATIVISTIC FIELDS DUE TO A PARTICLE IN A GROUNDED CYLINDRICAL BOX.
Topical research rept.,
CORNELL UNIV ITHACA N Y LAB OF PLASMA STUDIES
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The exact relativistic fields inside a perfectly conducting, closed, grounded cylindrical box of finite length, which are due to a charged particle moving down the axis in vacuum are obtained. This permits construction of the solution for a line segment propagating down the axis, and the return surface-current. The fields are shown to be causal so that no field is present before the light front. The technique of solution employs superposition of Lorentz transformed fields of the positive and negative images. The initial condition that there be no field in the box at time t 0 is satisfied by adding a superposition of the cavity modes to the inhomogeneous solution. The fields and energy in the wake are also found. Author
- Electricity and Magnetism
- Plasma Physics and Magnetohydrodynamics