Method of Moments for 2D Scattering Problems

Christophe Bourlier works at the IETR (Institut d’Electronique et de Télécommunications de Rennes) laboratory at Polytech Nantes (University of Nantes, France) as well as being a Researcher at the French National Center for Scientific Research (CNRS) on electromagnetic wave scattering from rough surfaces and objects for remote sensing applications and radar signatures. He is the author of more than 160 journal articles and conferences papers.Nicolas Pinel is currently working as a Research Engineer at the IETR laboratory at Polytech Nantes and is about to join Alyotech Technologies in Rennes, France. His research interests are in the areas of radar and optical remote sensing, scattering and propagation. In particular, he works on asymptotic methods of electromagnetic wave scattering from random rough surfaces and layers.Gildas Kubické is in charge of the “Expertise in electroMagnetism and Computation” (EMC) laboratory at the DGA (Direction Générale de l’Armement), French Ministry of Defense, where he works in the field of radar signatures and electromagnetic stealth. His research interests include electromagnetic scattering and radar cross-section modeling.

• PREFACE ixINTRODUCTION xiCHAPTER 1. INTEGRAL EQUATIONS FOR A SINGLE SCATTERER: METHOD OF MOMENTS AND ROUGH SURFACES 11.1. Introduction 11.2. Integral equations 21.3. Method of moments with point-matching method 121.4. Application to a surface 141.5. Forward–Backward (FB) method 191.6. Random rough surface generation 21CHAPTER 2. VALIDATION OF THE METHOD OF MOMENTS FOR A SINGLE SCATTERER 312.1. Introduction 312.2. Solutions of a scattering problem 312.3. Comparison with the exact solution of a circular cylinder in free space 342.4. PO approximation 552.5. FB method 692.6. Conclusion 71CHAPTER 3. SCATTERING FROM TWO ILLUMINATED SCATTERERS 733.1. Introduction 733.2. Integral equations and method of moments 753.3. Efficient inversion of the impedance matrix: E-PILE method for two scatterers 863.4. E-PILE method combined with PO and FB 943.5. Conclusion 107CHAPTER 4. SCATTERING FROM TWO SCATTERERS WHERE ONLY ONE IS ILLUMINATED 1094.1. Introduction 1094.2. Integral equations and method of moments 1104.3. Efficient inversion of the impedance matrix: PILE method 1224.4. PILE method combined with FB or PO 1284.5. Conclusion 138APPENDIX MATLAB CODES 139BIBLIOGRAPHY 141INDEX 147