A closed form, physical optics expression for the radar cross section of a perfectly conducting flat plate over a dielectric half‐space

Abstract

[1] The physical optics approximation is employed in the derivation of a closed form expression for the radar cross section (RCS) of a flat, perfectly conducting plate of various shapes, located over a dielectric, possibly lossy half-space. The half-space is assumed to lie in the far field region of the plate. The well-known "four-path model" is invoked in a firstorder approximation of the half-space contribution to the scattering mechanisms. Numerical results are compared to a reference, Moment Method solution, and the agreement is investigated, to assess the accuracy of the approximations used. The analytical expressions derived can facilitate very fast RCS calculations for realistic scatterers, such as ships in a sea environment, or aircraft flying low over the ground.INDEX TERMS: 0669 Electromagnetics: Scattering and diffraction; 0619 Electromagnetics: Electromagnetic theory; 0689 Electromagnetics: Wave propagation (4275); KEYWORDS: flat plate, halfspace, radar cross section Citation: Anastassiu, H. T., A closed form, physical optics expression for the radar cross section of a perfectly conducting flat plate over a dielectric half-space,

Analytical method for monostatic radar cross section calculation of a perfectly conducting wind turbine model located over dielectric lossy half space

“…In general, geometry of the problem consists of a PEC, polygonal, flat plate with Q vertices located over a half space as shown in Fig. 4 [12]. Using (1), the expression of the monostatic RCS of the flat plate can be expressed as [14] (see (4)) whereas…”

“…Under the approximation of the four-path model and PO method, monostatic RCS for horizontal and vertical polarisation can be expressed as [11][12][13][14][15] (see (1)) where k is the free space wave number,n is the unit normal vector, s is the illuminated portion of the scatterer, r ′ is the location of an arbitrary point on s,r r is the reflected vector defined asr r =r − 2ẑr ·ẑ ( ) and wherer = sin u cos fx+ sin u sin fŷ + cos uẑ. R H is the horizontal Fresnel reflection coefficients and expressed as…”

Backscattering of Electrically Large Perfect Conducting Targets Modeled by Nurbs Surfaces in Half-Space

“…1. When the surface of half space is assumed to lie at the z = 0 plane, given an incident planar wave, under the "four-path" modal approximation, the backscattered field of an arbitrary conducting body predicted by PO is given by [16]:…”

“…3 show the RCS result at the ϕ = 90 • cut, as a function of θ angle for horizontal polarization. The result from Numerical method is obtained using numerical integration [16].…”

“…And Physical Optics (PO) [1,3,6,15] approximation is a high frequency method which is applied to calculate the RCS of electrically large targets. The method of the "four-path" model combined with PO [16] has been presented to compute the RCS of flat plates in half space and this method can be extended to calculate the RCS of complex targets which are modeled by a series of flat plates. In this paper, the author introduced the combined method into the computation of half space NURBS model.…”