Nonstandard electrostatic problem for strips

The spatial field distribution is the most frequent subject of standard electrostatic analysis. In this paper the system of several strips in external spatial-harmonic electric field, which causes the charge distribution on them, is considered. The solution is constructed as a linear combination of certain template functions, evaluated in spectral domain and satisfying the electric boundary conditions on the strips. The problem is analogous to wave scattering; this justifies the application of the wave-scattering terminology (i.e. incident wave for the external field and the corresponding ‘radiation condition’) in the considered nonstandard ‘electrostatic scattering’ problem. The strip total charge and the Bloch harmonics of the ‘scattered’ field are evaluated.