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Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2008

Solutions of Maxwell's equations in presence of lamellar gratings including infinitely conducting metal

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Boris Gralak
Pierre Raphaël
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Gérard Tayeb
Stefan Enoch

Résumé

Modal methods often used to model lamellar gratings that include infinitely or highly conducting metallic parts encounter numerical instabilities in some situations. In this paper, the origin of these numerical instabilities is determined, and then a stable algorithm solving this problem is proposed. In order to complete this analysis, the different geometries that can be handled without numerical instabilities are clearly defined. Numerical tests of the exact modal method implemented with the proposed solution are also presented. A test of convergence shows the efficiency of the method while the comparison with the fictitious sources method shows its accuracy.
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Dates et versions

hal-00347267 , version 1 (15-12-2008)

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  • HAL Id : hal-00347267 , version 1

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Boris Gralak, Pierre Raphaël, Gérard Tayeb, Stefan Enoch. Solutions of Maxwell's equations in presence of lamellar gratings including infinitely conducting metal. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2008, 25 (12), pp.3099. ⟨hal-00347267⟩
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