Noise-free static field calculations in corrugated periodic structures

Field calculations in corrugated periodic problems in the static limit are considered. The method relies on the following steps: (a) establishment of an eigenoperator equation equivalent to the Laplace equation for anisotropic and inhomogeneous dielectrics; (b) using the Fourier method to discretize the mentioned equation for simultaneous determination of eigenvalues and corresponding eigenvectors; (c) fulfillment of boundary conditions for problem-specific families of Dirac delta functions results in Green´s functions (GFs) associated with the problem considered; and (d) application of the method of moments, leading to source distributions from which field quantities can subsequently be calculated by a computationally inexpensive postprocessing. Numerical results include GFs defined in a standard fashion, as well as modified Green´s functions as introduced here, along with related potential distributions.<>