Qiubo Ye

Numerical Methods for Electromagnetic Scattering by Large Structures: from Progressive Numerical Method to Projection Iterative Method Qiubo Ye

Engineers and researchers have long been interested in efficiently modeling electromagnetic (EM) scattering by electrically large structures. The integral-equation-based Method of Moments results in linear algebraic equations with large coefficient matrices that require excessive computer storage and execution time. The accumulation of errors while inverting large matrices greatly impairs the accuracy of the solution. The objective of the research aims at making progress in this area. This book proposes and analyses the progressive numerical method (PNM) and the projection iterative method (PIM), including formulations, operation counts, stopping criteria, and their connection. In applications, the PNM works fine for 2-D problems and can depress internal resonances. The PIM is successful for both 2- and 3-D problems. Both methods avoid matrix inversion by dividing the object and using iteration, thus saving computer memory and time. This monograph is an important reference for university professors, graduate students and professional engineers with work or research involving numerical modeling for EM scattering, especially by large structures.