Convergence of FDTD andWavelet-Collocation Modeling of CurvedDielectric Interface with the EffectiveDielectric Constants Obtained by Static FieldAnalysis

摘要

The convergence of the effective dielectric constantEDC) model of curved dielectric surfaces has beeninvestigated precisely for the finite-difference timedomain(FDTD) as well as for the wavelet-collocationmethod based on interpolets. The EDCs are computedby solving the Laplace equation of static electric potentialby a finite-difference (FD) method for the cellslocated on the interface of arbitrary dielectric media.The finite-difference solution of the Laplace equationprovides accurate EDCs for arbitrary curved interfacewith even high contrast of the dielectric constants. Ithas been demonstrated that the precisely chosen ECDsallow both the FDTD and the wavelet-collocation methodsto exhibit second-order convergence for the analysisof not only plane boundaries but also curved dielectricinterfaces.