Method of Moments for 2D Scattering Problems

Method of Moments for 2D Scattering Problems

Written by: Christophe Bourlier

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  • Publisher: John Wiley & Sons
  • Publish Date: 2013-08-05
  • ISBN-10: 9781118648681
  • ebook-method-of-moments-for-2d-scattering-problems.pdf
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Book Summary

Electromagnetic wave scattering from randomly rough surfaces inthe presence of scatterers is an active, interdisciplinary area ofresearch with myriad practical applications in fields such asoptics, acoustics, geoscience and remote sensing. In this book, the Method of Moments (MoM) is applied to compute thefield scattered by scatterers such as canonical objects (cylinderor plate) or a randomly rough surface, and also by an object aboveor below a random rough surface. Since the problem is considered tobe 2D, the integral equations (IEs) are scalar and only the TE(transverse electric) and TM (transverse magnetic) polarizationsare addressed (no cross-polarizations occur). In Chapter 1, the MoMis applied to convert the IEs into a linear system, while Chapter 2compares the MoM with the exact solution of the field scattered bya cylinder in free space, and with the Physical Optics (PO)approximation for the scattering from a plate in free space.Chapter 3 presents numerical results, obtained from the MoM, of thecoherent and incoherent intensities scattered by a random roughsurface and an object below a random rough surface. The finalchapter presents the same results as in Chapter 3, but for anobject above a random rough surface. In these last two chapters,the coupling between the two scatterers is also studied in detailby inverting the impedance matrix by blocks. Contents 1. Integral Equations for a Single Scatterer: Method of Momentsand Rough Surfaces. 2. Validation of the Method of Moments for a SingleScatterer. 3. Scattering from Two Illuminated Scatterers. 4. Scattering from Two Scatterers Where Only One isIlluminated. Appendix. Matlab Codes. About the Authors Christophe Bourlier works at the IETR (Institutd’Electronique et de Télécommunications de Rennes)laboratory at Polytech Nantes (University of Nantes, France) aswell as being a Researcher at the French National Center forScientific Research (CNRS) on electromagnetic wave scattering fromrough surfaces and objects for remote sensing applications andradar signatures. He is the author of more than 160 journalarticles and conference papers. Nicolas Pinel is currently working as a Research Engineer at theIETR laboratory at Polytech Nantes and is about to join AlyotechTechnologies in Rennes, France. His research interests are in theareas of radar and optical remote sensing, scattering andpropagation. In particular, he works on asymptotic methods ofelectromagnetic wave scattering from random rough surfaces andlayers. Gildas Kubické is in charge of the “Expertise inelectroMagnetism and Computation” (EMC) laboratory at the DGA(Direction Générale de l’Armement), French Ministryof Defense, where he works in the field of radar signatures andelectromagnetic stealth. His research interests includeelectromagnetic scattering and radar cross-section modeling.

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