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Scattering characteristics of two plane waves are investigated for a circular cylinder covered by a dielectric substance. Fields are assumed to be transverse magnetic (TM) and represented in an exponential series form. The diffracted radiations are found by applying the boundary conditions to the wave functions. The wave transformation method and the orthogonality of the exponential functions are respectively employed to obtain an infinite series in the solution. Numerical results are evaluated by reducing the infinite series to a finite number of terms and comparing estimates with the single plane wave scattering situation.

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.

Abstract-The transverse electric (TE) field patterns and characteristics are considered for a cylinder with N infinite axial slots of arbitrary opening size and position. The cylinder is a thin circular conductor and covered by an eccentric material. Radiations are determined by applying the boundary conditions to the cylindrical wave functions of the fields. The addition theorem of Bessel functions is employed to find an infinite-series solution in Fourier-Bessel series form. Results are achieved by reducing the produced infinite series to a finite number of terms and judged against other published data. Numerical and graphical results for different values are also presented and discussed for small eccentricities.