Matrix solution to electromagnetic scattering by a conducting cylinder with an eccentric metamaterial coating

Abstract

Closed series solution to scattering by an eccentric coated cylinder is realized in matrix form. Diffracted radiation characteristics are investigated for N incident plane transverse electric (TE) waves. The solution is obtained by the boundary value analysis and the addition theorem of the Bessel's functions. Wave transformation and orthogonality of the complex exponentials are also used to find an infinite series in the solution. Numerical results are shown by reducing the infinite series to a limited number of terms and compared to previously published works.

Radiation From an Eccentric Coated Cylinder With Slots of Arbitrary Sizes and Positions

“…For small values of d this series quickly converges and can be solved by numerical reduction to form finite matrices. On the contrary, for larger values of d the physical size of the proposed structure in Figure 1 is larger and we require further terms in the summation [15]. In view of that, our numerical estimations are only obtained for small eccentricities in order to smooth the progress of the series expansion.…”

Scattering from an eccentric system, including a dielectric rod placed in a thin annular magnetized relativistic rotating electron beam (TAMRREB)

“…This theorem for converting Bessel functions is as follows [27] T n (kr c ) e inϕ c = +∞ m=−∞ e imϕ T m−n (kd) J m (kr) for r < d,…”

“…It must be noted that in all previous relations, the prime denotes to the derivative with respect to the argument. Knowing the important coefficient A n (The scattering amplitude), one can find the back-scattering cross section follows [1][2][3][4][5][6][7]25,27,28] …”

Radiations from an Eccentric Coated Cylinder with N Slots

“…Equation (12) is expressed as a series over n from -∞ to +∞ which can produce infinite matrices in Equation Figure 1 is bigger and additional terms in the summation are required [12]. Therefore, the numerical evaluations are computed for small eccentricities in order to smooth the progress of the series expansion.…”