## Abstract A spectralโelement timeโdomain (SETD) method based on GaussโLobattoโLegendre (GLL) polynomials is presented to solve Maxwell's equations. The proposed SETD method combines the advantages of spectral accuracy with the geometric flexibility of unstructured grids. In addition, a 4^th^โorde
Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements
โ Scribed by J.S. Hesthaven; P.G. Dinesen; J.P. Lynov
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 280 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0021-9991
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โฆ Synopsis
A spectral collocation multi-domain scheme is developed for the accurate and efficient time-domain solution of Maxwell's equations within multi-layered diffractive optical elements. Special attention is being paid to the modeling of out-of-plane waveguide couplers. Emphasis is given to the proper construction of high-order schemes with the ability to handle very general problems of considerable geometric and material complexity. Central questions regarding efficient absorbing boundary conditions and time-stepping issues are also addressed. The efficacy of the overall scheme for the time-domain modeling of electrically large, and computationally challenging, problems is illustrated by solving a number of plane as well as non-plane waveguide problems.
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