**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)

- Introduction
- Wave Equation from Maxwell's Equations
- Wave Equation in Cylindrical Coordinates
- Solution by Separation of Variables
- Standing Wave Solution
- Determining the Initial Conditions (pictures)
- Time Evolution of the Wave Equation (pictures)
- Electric Field and Poynting Flux
- Conclusion
- Appendix: How It Was Done

Craig Markwardt 2001-07-30