Electrostatic scattering by strips

A system of in-plane periodic perfectly conducting strips
is considered embedded in an preexisting electric field which, in applications,
can result from propagation of an elastic wave in a piezoelectric material
supporting strips on its surface. The spatial spectrum of charge distribution in
the plane of strips is of our primary interest. In spite of the functional
dependence between the spectrum and the spatial distribution of charge by means
of the Fourier transform, its direct application leads to a considerable
numerical error caused by poor numerical representation of the singular field at
the strip edges. Carrying out the analysis in the spectral domain instead of
direct evaluation of the spatial charge distribution overcomes this difficulty.