Method of moments for 2D scattering problems : basic concepts and applications
- Christophe Bourlier, Nicolas Pinel, Gildas Kubické.
- London : ISTE Ltd ; Hoboken, NJ : John Wiley & Sons, Inc., 2013.
- Physical description
- x, 148 pages : illustrations ; 25 cm.
- Focus series in waves.
Math & Statistics Library
QC665 .S3 B68 2013
- Unknown QC665 .S3 B68 2013
- Bourlier, Christophe, author.
- Pinel, Nicolás, author.
- Kubické, Gildas, author.
- International Society for Technology in Education.
- Includes bibliographical references (pages 141-145) and index.
- PREFACE ix INTRODUCTION xi CHAPTER 1. INTEGRAL EQUATIONS FOR A SINGLE SCATTERER: METHODOF MOMENTS AND ROUGH SURFACES 1 1.1. Introduction 1 1.2. Integral equations 2 1.3. Method of moments with point-matching method 12 1.4. Application to a surface 14 1.5. Forward Backward (FB) method 19 1.6. Random rough surface generation 21 CHAPTER 2. VALIDATION OF THE METHOD OF MOMENTS FOR A SINGLESCATTERER 31 2.1. Introduction 31 2.2. Solutions of a scattering problem 31 2.3. Comparison with the exact solution of a circular cylinderin free space 34 2.4. PO approximation 55 2.5. FB method 69 2.6. Conclusion 71 CHAPTER 3. SCATTERING FROM TWO ILLUMINATED SCATTERERS73 3.1. Introduction 73 3.2. Integral equations and method of moments 75 3.3. Efficient inversion of the impedance matrix: E-PILE methodfor two scatterers 86 3.4. E-PILE method combined with PO and FB 94 3.5. Conclusion 107 CHAPTER 4. SCATTERING FROM TWO SCATTERERS WHERE ONLY ONE ISILLUMINATED 109 4.1. Introduction 109 4.2. Integral equations and method of moments 110 4.3. Efficient inversion of the impedance matrix: PILE method122 4.4. PILE method combined with FB or PO 128 4.5. Conclusion 138 APPENDIX MATLAB CODES 139 BIBLIOGRAPHY 141 INDEX 147.
- (source: Nielsen Book Data)
- Publisher's Summary
- This book applies the method of moments (MoM) to compute the field scattered by scatterers as well as by an object above or below a random rough surface. Since the problem is considered as 2D, the integral equations are scalar and only the TE and TM polarizations are addressed. The book compares the MoM with the exact solution of the field scattered by a cylinder in free space and with the physical optics approximation for the scattering from a plate in free space. It then presents numerical results of the coherent and incoherent intensities scattered by different means. Coupling between the two scatterers is also examined.
(source: Nielsen Book Data)
- Publication date
- Focus series in waves, 2051-2481
- 9781848214729 (hardback)
- 1848214723 (hardback)