Dj. Hoppe et Y. Rahmatsamii, HIGHER-ORDER IMPEDANCE BOUNDARY-CONDITIONS APPLIED TO SCATTERING BY COATED BODIES OF REVOLUTION, IEEE transactions on antennas and propagation, 42(12), 1994, pp. 1600-1611
In this paper higher order impedance boundary conditions will be emplo
yed in the solution of scattering by coated conducting bodies of revol
ution. The higher order impedance solution reduces the total number of
unknowns relative to the exact solution, and produces a system matrix
which is less dense than that of the exact solution, The construction
of the solution involves two distinct steps, In the first step the bo
dy of revolution is replaced by an equivalent set of electric and magn
etic currents on its exterior surface which generate the true fields o
utside the body, An integral equation relating these currents through
the free space Green's function is derived, Step two employs the highe
r order impedance boundary condition to relate the electric and magnet
ic currents on the surface of the body, This replaces the rigorous sol
ution of the interior problem, The higher order impedance boundary con
ditions are derived by obtaining an exact impedance boundary condition
in the spectral domain for the coated ground plane, approximating the
impedances as ratios of polynomials in the transform variables, and e
mploying the Fourier transform, The resulting spatial domain different
ial equations are solved in conjunction with the integral equation usi
ng the method of moments, Several examples of bistatic and monostatic
radar cross section for coated bodies of revolution are used to illust
rate the accuracy of the higher order impedance boundary condition sol
ution relative to the standard impedance boundary condition solution a
nd the exact solution, The effects of coating thickness, loss, and cur
vature on the accuracy of the solution are discussed.