1st Edition
by Christophe Bourlier (Author), Nicolas Pinel (Author), Gildas Kubické (Author)
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.