On the solution of periodic cylindrical structures with mixed boundary conditions

In various types of EMP simulators, the existence of spurious electrons is an annoying problem. To reduce this effect, charged wire structures have been employed. The solution of a wire mesh charged to a sufficiently high negative potential to repel these unwanted electrons has previously been handled theoretically by conformal transformation for the limiting case of thin-wire structures. The generalized case of finite-radii cylindrical structures has also been dealt with previously by Fourier transformation. In the present work, separation of variables and the method of moments have been used for a two-dimensional study of the problem of a cylindrical satellite with a periodic structure of narrow sheets having a constant negative voltage. The result is applicable to repelling unwanted electrons in system-generated EMP simulators. The technique is general and hence can easily be extended to the case of a coaxial line with slots as well as other shielding enclosures and similar applications.< >