The field scattered by a perfectly conducting plane surface with a perturbation illuminated by an E // -polarized plane wave is determined by means of a Rayleigh method. This cylindrical surface is described by a local function. The scattered field is supposed to be represented everywhere in space by a superposition of a continuous spectrum of outgoing plane waves. A "triangle/Dirac" method of moments applied to the Dirichlet boundary condition in the spectral domain allows the wave amplitudes to be obtained. For a half cosine arch, the proposed Rayleigh method is numerically investigated in the far-field zone, by means of convergence tests on the spectral amplitudes and on the power balance criterion. We show that the Rayleigh integral can be used for perturbations, the amplitudes of which are close to half the wavelength. 1 Introduction 2 Formulation of the Problem and Rayleigh Integral 3 Method of Resolution: Method of Moments 4 Numerical Application 4.1 Numerical Parameters Mc and M 4.2 Convergence Test as a Function of M 4.3 Convergence Test as a Function of Mc 4.4 Conclusion of the Two Convergence Tests 4.5 Comparison with the Theoretical Limits 4.6 Advantages of the Variable Supports of the Basis Functions

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We present a rigorous method giving the field scattered by a dielectric plane surface with a local cylindrical perturbation illuminated by a plane wave. The theory is based on Maxwell's equations written in a nonorthogonal coordinate system. A Method of Moments (PPMoM) with Pulses for basis and weighting functions is applied for solving in the spectral domain. For several deterministic profiles, we study the influence of polarization, incidence angle and perturbation depth and show that the distance defining the far-field approximation depends on the observation angle.

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