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Solving Maxwell's Equation for a Toroidal Flux Loop

Craig B. Markwardt


I solve Maxwell's equations in cylindrical coordinates for the case of an initial magnetic flux loop. After solving the partial differential equation, a numerical model is developed which shows the time evolution. I find that the flux loop is not stable, and dissipates as electromagnetic waves at the speed of light. I generated an animated movie which shows this behavior.

(Figure: Density plots showing time evolution of magnetic flux loop)

CLICK HERE FOR MOVIE (magnetic field animated GIF, 400 kilobytes)

ANOTHER MOVIE is HERE (Poynting flux GIF, 110 kilobytes)

Craig Markwardt 2001-07-30