Abstract
It is our aim in this chapter to provide an introduction to a form of the inverse problem in rough surface scattering, and methods for its solution, that differs somewhat from the usual form of this problem. In the usual formulation of this problem scattering data, such as the angular and polarization dependence of the intensity of the scattered field, are provided by experimentalists, and the surface profile function, or some statistical properties of it, such as the power spectrum of the surface roughness, or just the rms height of the surface, is extracted from these data. The type of inverse problem we consider here is how to design a one-or two-dimensional randomly rough surface that scatters in a specified manner a wave or a beam incident on it. We consider two different cases: (i) the scattered field is required to have a prescribed angular dependence of its mean intensity; and (ii) it is required to have a specified wavelength dependence of its mean intensity at a fixed scattering angle. Applications of each of these types of surfaces will be presented.
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Maradudin, A.A. (2007). The Design of Randomly Rough Surfaces That Scatter Waves in a Specified Manner. In: Maradudin, A.A. (eds) Light Scattering and Nanoscale Surface Roughness. Nanostructure Science and Technology. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35659-4_17
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DOI: https://doi.org/10.1007/978-0-387-35659-4_17
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