Uniform Analytic Scattered Fields of a Pec Plate Illuminated by a Vector Paraxial Gaussian Beam (original) (raw)
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Physical Optics Scattering by a Pec Plate Located Vertically Over a Dielectric Half-Space
Progress In Electromagnetics Research B, 2020
Analytical solution and numerical results are provided for the problem of plane wave scattering by an electrically large Perfect Electric Conductor plate located vertically over a simple lossy dielectric half-space. The incoming monochromatic homogeneous plane wave is assumed to be incident from an arbitrary direction and decomposed into TE and TM components. Physical Optics approximation is used for estimating the currents induced on the plate. The scattered fields are obtained explicitly by evaluating the Electric Field Integral Equation analytically incorporating the set of Green functions by R. W. P. King which apply under High Contrast Approximation. Amplitude and phase variations of the numerical distance and attenuation function are illustrated in HF-MW band ranges. Azimuth and elevation patterns for scattered electric fields are illustrated with emphasis on the relative contributions of surface wave fields depending on operating frequency and refractivity. An analytical procedure to extract free space RCS information from measured/calculated data is introduced based on the asymptotic behaviors of surface waves and its stability is tested numerically.
Progress In Electromagnetics Research, 2010
This paper presents an extension over a novel, three dimensional high frequency method for the calculation of the scattered electromagnetic (EM) field from a Perfect Electric Conductor (PEC) plate, which is based on the Physical Optics (PO) approximation and the Stationary Phase Method (SPM). This extension defines a new analytical method which is proved to be very efficient in computer execution time and enhances the accuracy of its predecessor around the area of the main scattering lobe. This new analytical method accomplishes high accuracy through the use of higher order approximation terms, which imply the use of Fresnel functions (SPM-F method). By using higher order Fresnel approximation terms, no impact on the time efficiency of the SPM method appears to
Radio Science, 1997
A closed form solution is obtained to describe, in a physically appealing manner, the reflection and diffraction of a general astigmatic Gaussian beam which is incident on an arbitrary smooth, electricaJly large, slowly varying curved, perfectly conducting screen (or reflector). This dosed form solution is obtained via an asymptotic evaluation of the radiation integral for the fields scattered from the reflector, to within the physical optics approximation that remains valid for the present situation. The analysis developed here is particularly well suited for the fast analysis of electrically large reflector antennas by representing the feed illumination by a relatively small set of Gaussian beams launched from the feed plane. Each of these Gaussian beams after being launched undergoes reflection and diffraction at the reflector; the expressions for the reflected and diffracted fields are developed in this paper and utilized by Chou [1996] to compute the radiation pattern of large reflector antennas in a matter of a few seconds as compared to the conventional numerical physical optics integral method which takes hours on the same computer. ory (UAT) or the uniform geometrical theory of diffraction (UTD)for the reflection and diffraction of an arbitrary "ray optical" field when it
Microwave and Optical Technology Letters, 2001
Two-dimensional 2-D scattering of wa¨es by a conducting strip with a canonical profile is simulated in the E-polarization case. () This analysis is performed by reducing a singular integral equation IE to the dual-series equations, and making their analytical regularization. () Furthermore, the incident field is taken as a complex source point CSP beam. This is an extension of our pre¨ious studies about circular and parabolic reflector antennas. The algorithm features are demonstrated. Far-field characteristics are presented for quite large-size cur¨es strips of elliptic, parabolic, and hyperbolic profiles.
Optics Express, 2007
We consider a simple analytical model for the electric near field of a semi-infinite conical probe and apply it to study the incident angle dependence of the field for the case of side illumination by both the plane wave and the Gaussian beam. The electric near field is shown to peak when approaching the grazing incidence. In some cases, a peak can also occur at an incident angle somewhat below 90°. The results obtained are in qualitative agreement with those for a thin semi-infinite wire and previously published results for the finite-size conical probes.
Radio Science, 1995
A high-frequency analysis of the reflection and diffraction of well-focused electromagnetic Gaussian beams (GBs) by a perfectly conducting parabolic surface with an edge is presented for the two dimensional case. The fields are evaluated analytically via the physical optics (PO) approximation, and only the reflected field is expressed as a GB. The GB procedure developed here is expected to be highly efficient in applications involving large reflector antennas, since it avoids the conventional timeconsuming numerical evaluation of the PO integrals. Some numerical results are provided to indicate the accuracy of the analytical expressions obtained. The threedimensional case will be reported separately.
Radio Science, 2002
1] A high-frequency analysis of the reflection of an electromagnetic Gaussian beam (GB) from a metallic parabolic surface is presented for the three-dimensional case. The reflected field is evaluated analytically by use of the physical optics approximation and is expressed in closed form in terms of the incident GB parameters. Similarities with the two-dimensional case and also with ray tracing theory are pointed out. Although the same problem has been investigated in the past by several researchers, this paper presents a physically appealing and intuitive closed form expression for the reflected field in the paraxial zone that does not appear to be available in the literature.
IEEE Transactions on Antennas and Propagation, 2003
An exact line integral representation of the physical optics fields scattered by a perfectly conducting plate illuminated by a vector complex point source is derived. Complex point sources provide, in the paraxial region, an accurate model of Gaussian beams, and can thus be used to efficiently represent the pattern of directive sources. Numerical results are shown to illustrate the exactness of the procedure and the computation time saving is investigated by comparison with surface integration. Moreover, by analyzing the scattering from a plate illuminated by a corrugated circular horn, the feasibility and accuracy of the proposed approach for modeling scattering due to real sources are demonstrated.
Gaussian Beam Electromagnetic Scattering from Pec Polygonal Cross-Section Cylinders
2017
In scattering experiments, incident fields are usually produced by aperture antennas or lasers. Nevertheless, incident plane waves are usually preferred to simplify theoretical analysis. The aim of this paper is the analysis of the electromagnetic scattering from a perfectly electrically conducting polygonal cross-section cylinder when a Gaussian beam impinges upon it. Assuming TM/TE incidence with respect to the cylinder axis, the problem is formulated as electric/magnetic field integral equation in the spectral domain, respectively. The Method of analytical preconditioning is applied in order to guarantee the convergence of the discretization scheme. Moreover, fast convergence is achieved in terms of both computation time and storage requirements by choosing expansion functions reconstructing the behaviour of the fields on the wedges with a closed-form spectral domain counterpart and by means of an analytical asymptotic acceleration technique.