In this paper, we investigate analytically the connection between the existing first-order small perturbation method solutions for the scattering from a layered structure with one rough interface. First of all, by using effectively the concept of generalized reflection coefficients, we cast the existing models in a unified more compact formulation and point out the connection between the different analytical solutions. The obtained reformulations of the available analytical solutions allow us to subsequently prove the consistency of the considered models. Finally, a suitable expansion is performed that leads us to understand the physical meaning of the analytical expressions. The obtained unified formulation also opens the way toward a general closed-form solution for the problem of scattering by a layered structure with an arbitrary number of corrugated interfaces.
Scattering from layered structures with one rough interface: a unified formulation of perturbative solutions / Franceschetti, Giorgio; Imperatore, Pasquale; Iodice, Antonio; Riccio, Daniele; Ruello, Giuseppe. - In: IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING. - ISSN 0196-2892. - STAMPA. - (2008), pp. 1634-1643.
Scattering from layered structures with one rough interface: a unified formulation of perturbative solutions
FRANCESCHETTI, GIORGIO;IMPERATORE, PASQUALE;IODICE, ANTONIO;RICCIO, DANIELE;RUELLO, GIUSEPPE
2008
Abstract
In this paper, we investigate analytically the connection between the existing first-order small perturbation method solutions for the scattering from a layered structure with one rough interface. First of all, by using effectively the concept of generalized reflection coefficients, we cast the existing models in a unified more compact formulation and point out the connection between the different analytical solutions. The obtained reformulations of the available analytical solutions allow us to subsequently prove the consistency of the considered models. Finally, a suitable expansion is performed that leads us to understand the physical meaning of the analytical expressions. The obtained unified formulation also opens the way toward a general closed-form solution for the problem of scattering by a layered structure with an arbitrary number of corrugated interfaces.File | Dimensione | Formato | |
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