Scattering bytwo-dimensional rough surfaces: comparison between the method ofmoments, Kirchhoff and small-slope approximations

G Soriano, CA Guérin, M Saillard - Waves in random media, 2001 - iopscience.iop.org
We use a rigorous numerical code based on the method of moments to test the accuracy
and validity domains of two popular first-order approximations, namely the Kirchhoff and the …

The weighted curvature approximation in scattering from sea surfaces

CA Guerin, G Soriano, B Chapron - Waves in Random and …, 2010 - Taylor & Francis
A family of unified models in scattering from rough surfaces is based on local corrections of
the tangent plane approximation through higher-order derivatives of the surface. We revisit …

Local and non-local curvature approximation: a new asymptotic theory for wavescattering

T Elfouhaily, S Guignard, R Awadallah… - Waves in Random …, 2003 - iopscience.iop.org
We present a new asymptotic theory for scalar and vector wave scattering from rough
surfaces which federates an extended Kirchhoff approximation (EKA), such as the integral …

Weighted curvature approximation: numerical tests for 2D dielectric surfaces

CA Guérin, G Soriano, T Elfouhaily - Waves in random media, 2004 - iopscience.iop.org
The weighted curvature approximation (WCA) was recently introduced by Elfouhaily et al [7]
as a unifying scattering theory that reproduces formally both the tangent-plane and the small …

Tilt-invariant theory of rough-surface scattering: I

MI Charnotskii, VI Tatarskii - Waves in Random Media, 1995 - iopscience.iop.org
The small-slope approximation (SA) in rough-surface scattering theory uses the surface
slope as a small parameter of expansion. But, from the physical pint of view, the slope may …

A critical survey of approximate scattering wave theories from random rough surfaces

TM Elfouhaily, CA Guérin - Waves in random media, 2004 - iopscience.iop.org
This review is intended to provide a critical and up-to-date survey of the analytical
approximate methods that are encountered in scattering from random rough surfaces. The …

On the high-frequency limit of the second-order small-slope approximation

CA Guérin, M Saillard - Waves in random media, 2003 - iopscience.iop.org
Small-slope approximation (SSA) is a scattering theory that is supposed to unify both the
small-perturbation model and the Kirchhoff approximation (KA). We study and compute the …

Beyond the Kirchhoff approximation

E Rodriguez - Radio Science, 1989 - ieeexplore.ieee.org
The three most successful models for describing scattering from random rough surfaces are
the Kirchhoff approximation (KA), the small perturbation method (SPM) and the two-scale …

An investigation of the small slope approximation for scattering from rough surfaces. Part II. Numerical studies

SL Broschat, EI Thorsos - The Journal of the Acoustical Society of …, 1997 - pubs.aip.org
The small slope approximation (SSA) of Voronovich [Sov. Phys. JETP 62, 65–70 (1985)] is a
promising method for modeling wave scattering from rough surfaces. The SSA T-matrix …

A two-scale model from the point of view of the small-slope approximation

AG Voronovich - Waves in Random Media, 1996 - iopscience.iop.org
General results for the scattering cross section following from the small-slope approximation
(SSA) are applied to the case of two-scale surface roughness which can be represented as …