The Experts below are selected from a list of 111 Experts worldwide ranked by ideXlab platform
Claude Bourrely - One of the best experts on this subject based on the ideXlab platform.
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Application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbation method has been extensively used for wave scattering by rough surfaces. The standard method developed by Rice is difficult to apply when we consider second and third orders of scattered fields as functions of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a set of four reduced Equations for the scattering amplitudes, which are applied to cases of a rough conducting surface, and to a slab where one of the boundaries is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
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A new application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbations method has been extensively used for waves scattering by rough surfaces. The standard method developped by Rice is difficult to apply when we consider second and third order of scattered fields as a function of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a new set of four reduced Equations for the scattering amplitudes, which are applied to the cases of a rough conducting surface, and to a slab where one of the boundary is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
Antoine Soubret - One of the best experts on this subject based on the ideXlab platform.
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Application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbation method has been extensively used for wave scattering by rough surfaces. The standard method developed by Rice is difficult to apply when we consider second and third orders of scattered fields as functions of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a set of four reduced Equations for the scattering amplitudes, which are applied to cases of a rough conducting surface, and to a slab where one of the boundaries is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
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A new application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbations method has been extensively used for waves scattering by rough surfaces. The standard method developped by Rice is difficult to apply when we consider second and third order of scattered fields as a function of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a new set of four reduced Equations for the scattering amplitudes, which are applied to the cases of a rough conducting surface, and to a slab where one of the boundary is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
Alexei A. Maradudin - One of the best experts on this subject based on the ideXlab platform.
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Numerical solutions of the Rayleigh Equations for the scattering of light from a two-dimensional randomly rough perfectly conducting surface
Journal of the Optical Society of America A, 2014Co-Authors: Tor Nordam, Paul Anton Letnes, Ingve Simonsen, Alexei A. MaradudinAbstract:We present rigorous, nonperturbative, purely numerical solutions of the Rayleigh Equations for the scattering of p- and s-polarized light from a two-dimensional randomly rough perfectly conducting surface. The solutions are used to calculate the reflectivity of the surface, the mean differential reflection coefficients, and the full angular distribution of the intensity of the scattered field. These results are compared with previously published rigorous numerical solutions of the Stratton-Chu Equations, and very good agreement is found.
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reduced Rayleigh Equations in the scattering of s polarized light from and its transmission through a film with two one dimensional rough surfaces
Proceedings of SPIE, 2008Co-Authors: T A Leskova, Alexei A. MaradudinAbstract:We obtain a single integral equation for the scattering amplitude and for the transmission amplitude for light of s polarization incident on a free-standing or supported film, both of whose surfaces are one-dimensional rough surfaces.
G. Berginc - One of the best experts on this subject based on the ideXlab platform.
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Application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbation method has been extensively used for wave scattering by rough surfaces. The standard method developed by Rice is difficult to apply when we consider second and third orders of scattered fields as functions of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a set of four reduced Equations for the scattering amplitudes, which are applied to cases of a rough conducting surface, and to a slab where one of the boundaries is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
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A new application of reduced Rayleigh Equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces
Physical Review B, 2001Co-Authors: Antoine Soubret, G. Berginc, Claude BourrelyAbstract:The small perturbations method has been extensively used for waves scattering by rough surfaces. The standard method developped by Rice is difficult to apply when we consider second and third order of scattered fields as a function of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh Equations, because one of the unknown fields can be eliminated. We derive a new set of four reduced Equations for the scattering amplitudes, which are applied to the cases of a rough conducting surface, and to a slab where one of the boundary is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.
Zaihong Wang - One of the best experts on this subject based on the ideXlab platform.
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Periodic solutions of Rayleigh Equations with singularities
Boundary Value Problems, 2015Co-Authors: Zaihong WangAbstract:In this paper, we study the existence of periodic solutions of Rayleigh Equations with singularities $x''+f(t, x')+g(x)=p(t)$ . By using the limit properties of the time map, we prove that the given equation has at least one 2π periodic solution.
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Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh Equations
Boundary Value Problems, 2012Co-Authors: Zaihong WangAbstract:In this paper, we give a complementary proof on the paper ‘Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh Equations’.
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a continuation lemma and its applications to periodic solutions of Rayleigh differential Equations with subquadratic potential conditions
Journal of Mathematical Analysis and Applications, 2012Co-Authors: Zaihong WangAbstract:In this paper, we study the existence of periodic solutions of Rayleigh Equations x″+f(t,x′)+g(x)=e(t), where f, g, e are continuous functions and f is T-periodic with the first variable, e is T-periodic. By developing a continuation lemma for Rayleigh Equations, we prove that the given equation has at least one T-periodic solution provided that f(t,y) is sublinear with respect to the variable y and G(x)(=∫0xg(u)du) satisfies some subquadratic conditions.
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On the existence of periodic solutions of Rayleigh Equations
Zeitschrift für angewandte Mathematik und Physik, 2005Co-Authors: Zaihong WangAbstract:In this paper, we study the existence of periodic solutions of Rayleigh equation $$ x'' + f(x') + g(x) = p(t) $$ where f, g are continuous functions and p is a continuous and 2π-periodic function. We prove that the given equation has at least one 2π-periodic solution provided that f(x) is sublinear and the time map of equation x′′ + g(x) = 0 satisfies some nonresonant conditions. We also prove that this equation has at least one 2π-periodic solution provided that g(x) satisfies \(\lim_{|x|\to+\infty}sgn(x)g(x) = +\infty\) and f(x) satisfies sgn(x)(f(x) − p(t)) ≥ c, for t ∈R, |x| ≥ d with c, d being positive constants.
