In this Letter, a finite element-based domain decomposition method (DDM) with a novel transmission condition (TC) for the computation of electromagnetic or other kinds of fields by splitting the original large domain into several small non-overlapping sub-domains is proposed. The TC is derived from the definition of thermal contact resistance and is then imposed through an interior penalty formulation. The advantage of the proposed DDM is that no extra unknowns are introduced and the system matrix arising from the finite element method will be symmetric and positive definite. A Krylov subspace iterative method, preconditioned conjugate gradient, is adopted for the solution of the matrix equation. To verify the reliability and accuracy of the proposed DDM, both three-dimensional electrostatic and static magnetic models are calculated. In some deeper sense, the proposed DDM can be widely used in other fields of computational electromagnetics.
In this study, the finite difference time domain (FDTD) method was used to analyze light propagation in polymer nanoporous films. Compared with some theoretical models, it is found that the composite medium in series model is consistent with the results calculated by the FDTD method. In order to verify the theoretical model, we also fabricated several polymer nanoporous films, and obtained their effective indices of refraction and porosities with an ellipsometer and scanning electronic microscope (SEM), respectively. It is indicated that the composite medium in series model is also consistent with the experimental results.
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