An Exact Solution for the Scattering of Electromagnetic Waves from Conductors of Arbitrary Shape. I. Case of Cylindrical Symmetry

The problem of the scattering of an electromagnetic plane wave, incident along the axis of symmetry on a cylindrically symmetric, though otherwise arbitrarily shaped conductor, is solved exactly by means of a perturbation-expansion technique developed for this purpose. The solution obtained is an exact analytical solution, equally valid in the near and far zones, as well as over the entire frequency range, including the resonance region. The general solution is obtained, and several special cases are treated in detail. The term-by-term agreement of the perturbation-series solution with the known exact solution is demonstrated analytically for the case of a sphere. The form of the solution is particularly well suited for methodical numerical evaluation by machine calculation.