The Adaptive Cross Approximation Algorithm Applied to Electromagnetic Scattering by Bodies of Revolution

Finding solutions to Maxwell\u27s Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell\u27s Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell\u27s Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results