Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory.
DELAWARE UNIV NEWARK INST FOR MATHEMATICAL SCIENCES
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This report investigates the scattering of electromagnetic waves by a perfectly conducting object. The incident field is assumed to be time harmonic and the scatterer a closed bounded Lyapunov surface with no holes. A boundary integral equation for the total field incident plus scattered is derived using an integral representation of the total field analogous to Greens formula. The proof that this boundary integral equation can be solved by iteration rests on showing that the spectral radius of the resulting integral operator is less than one for small perturbations of the corresponding potential operator. Author
- Numerical Mathematics
- Radiofrequency Wave Propagation