Electromagnetic scattering from bounded or infinite subsurface bodies

Abstract

Abstract. The direct scattering problem from a stack of two rough interfaces or from a buried object with a rough interface above it is addressed. The two boundaries are separating three homogeneous and isotropic media. The profiles are assumed to be invariant in one (and the same) direction, and the probing field is time harmonic. The problem is solved with a rigorous integral method leading to a single boundary integral equation. This equation is converted into a linear system of equations, thanks to a boundary finite element method. To improve the accuracy, especially when the two boundaries are very close to each other, the singularity of the kernel is isolated and its integration is performed analytically. As shown through several examples, this versatile tool is well suited for the investigation of physical phenomena, especially the competition between surface and subsurface scattering.

Degree of Roughness of Rough Layers: Extensions of the Rayleigh Roughness Criterion and Some Applications

“…Moreover, the attenuation coefficient A un coh,1 −0.05 dB being negligible, | E tot r | 2 can be assimilated to the reflected intensity from the air/sand interface. This result is in full agreement with the results from [37] (see the second paragraph of page 1356).…”

“…The numerical results of the attenuation of the coherent scattered intensity owing to the layer roughness are presented for the case of a layer of sand over a granite surface [37]. This configuration corresponds to the case of two uncorrelated rough surfaces.…”

Statistical distribution of the field scattered by rough layered interfaces: formulae derived from the small perturbation method

“…We consider the scattering of electromagnetic waves from a stack of two randomly rough interfaces in connection with the microwave remote sensing [5][6]29]. For all simulations, the frequency is in L-band and the wavelength is equal to 20 cm.…”

“…Such structures can be analysed by means of approximated models and of exact methods [27][28][29][30][31][32][33]. The majority of works focuses on the determination of coherent and incoherent intensities.…”

Surface roughness estimation towards a buried target characterization

“…Synthetic data are provided by a forward solver which uses a boundary integral formalism [7]. For the inversion process, as we also need to compute at each iteration the scattered field by an object buried under a rough surface and in order to prevent any "inverse crime", we have chosen to develop a fast numerical solver based on a finite element method.…”