Method of Moments for 2D Scattering Problems (PDF)

Electromagnetic wave scattering from randomly rough surfaces in
the presence of scatterers is an active, interdisciplinary area of
research with myriad practical applications in fields such as
optics, acoustics, geoscience and remote sensing.

In this book, the Method of Moments (MoM) is applied to compute the
field scattered by scatterers such as canonical objects (cylinder
or plate) or a randomly rough surface, and also by an object above
or below a random rough surface. Since the problem is considered to
be 2D, the integral equations (IEs) are scalar and only the TE
(transverse electric) and TM (transverse magnetic) polarizations
are addressed (no cross-polarizations occur). In Chapter 1, the MoM
is applied to convert the IEs into a linear system, while Chapter 2
compares the MoM with the exact solution of the field scattered by
a 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 the
coherent and incoherent intensities scattered by a random rough
surface and an object below a random rough surface. The final
chapter presents the same results as in Chapter 3, but for an
object above a random rough surface. In these last two chapters,
the coupling between the two scatterers is also studied in detail
by inverting the impedance matrix by blocks.

Contents

1. Integral Equations for a Single Scatterer: Method of Moments
and Rough Surfaces.

2. Validation of the Method of Moments for a Single
Scatterer.

3. Scattering from Two Illuminated Scatterers.

4. Scattering from Two Scatterers Where Only One is
Illuminated.

Appendix. Matlab Codes.

About the Authors

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 conference 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.