## Abstract A fast method for analyzing optical waveguides with the use of an improved Fourier series method and an absorbing boundary condition of perfectly matched layer (PML) is proposed. The numerical examples show that the computing cost, calculated accuracy, and convergent speed with the PML
Unified analysis of perfectly matched layers using differential forms
✍ Scribed by F. L. Teixeira; W. C. Chew
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
The perfectly matched layer PML concept is interpreted as a change in the metric of space. By using the language of differential forms applied to the electromagnetic fields and exploring the metric in¨ariance of Maxwell's equations, the ¨arious pre¨alent PML formula-( ) tions Maxwellian and non-Maxwellian are unified. The analysis also re¨eals that other PML formulations are also possible, embodying the pre¨ious PML formulations as special cases.
📜 SIMILAR VOLUMES
We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stabili
## Abstract A numerical approach for transition problems in optical waveguides is presented, with the use of the Fourier‐series expansion method combined with the absorbing boundary condition by a perfectly matched layer (PML). The optical propagation along a transition is described by a simple mat
bandwidth, the capability to achieve the performance is obvious. We made a comparison of the results obtained with the structure maintained by the U shape without any soldering and the one obtained with soldering without support. Except in the upper frequency band, there is no different between the
## Abstract This article presents the development of discontinuous Galerkin time‐domain finite‐element method (DG‐TDFEM) for modeling wideband electromagnetic response of dielectric loaded waveguide structures.The method can be considered as a kind of domain decomposition method. The hierarchical v