Iterative Solution to the Multiple Scattering by A System of Two Infinitely Long Conducting Strips
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Iterative Solution to the Multiple Scattering by A System of Two Infinitely Long Conducting StripsAbstract
An analytic solution to the problem of a plane electromagnetic wave scattering by two infinitely long conducting strips is presented using an iterative procedure to account for the multiple scattered field between the strips. To compute the higher order terms of the scattered fields, the translation addition theorem for Mathieu functions is implemented to express the field scattered by one strip in terms of the elliptic coordinate system of the other strip in order to impose the boundary conditions. Scattered field coefficients of high order fields are obtained and written in matrix form. Numerical results are plotted for the scattered in far zone for different strip widths, electrical separations and angles of incidence.
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14 16 18 20 22
2
4
6
8
2
4
6
k d
s qrt (σ /λ )
k = 1, .... k = 2, oooo k= 3, xx x x k = 4
Figure 8: Normalized backscattering cross section
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, , .o
==
α
α o
i 90=
φ o
=
γ
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