Analysis of diffraction gratings by using an edge element method

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dc.contributor.author Dossou, Kokou en_US
dc.contributor.author Packirisamy, Muthukumaran en_US
dc.contributor.author Fontaine, Marie en_US
dc.date.accessioned 2009-11-12T05:28:28Z
dc.date.available 2009-11-12T05:28:28Z
dc.date.issued 2005 en_US
dc.identifier 2005002926 en_US
dc.identifier.citation Dossou Kokou, Packirisamy Muthukumaran, and Fontaine Marie 2005, 'Analysis of diffraction gratings by using an edge element method', Optical Society of America, vol. 22, no. 2, pp. 278-288. en_US
dc.identifier.issn 1084-7529 en_US
dc.identifier.other C1 en_US
dc.identifier.uri http://hdl.handle.net/10453/3270
dc.description.abstract Typically the grating problem is formulated for TE and TM polirizations by using, respectively, the electric and magnetic fields aligned with the grating wall and perpendicular to the plane of incidence, and this leads to a one-field-component problem. For some grating profiles such as metallic gratings with a traingular profile, the prediction of TM polarisation by using a standard finite-element method experiences a slower convergence rate, and this reduces the accuracy of the computed results and also introduces a numerical polarisation effect. This discrepency cannot be seen as a simple numerical issue, since it has been observed for different types of numerical methods based o the classical formulation. Hence an alternative formulation is proposed, where the grating problem is modeled by taking the electric field as unknown for TM polarisation. The application of this idea to both TE and TM polarisation leads to a two-field component problem. The purpose of the paper is to propose an edge finite-element method to solve this wave problem. A comparison of the results of the proposed formulation and the classical formulation shows improvement and robustness in the new approach. en_US
dc.publisher Optical Society of America en_US
dc.relation.isbasedon http://dx.doi.org/10.1364/JOSAA.22.000278 en_US
dc.rights This paper was published in The Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/JOSAA.22.000278. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
dc.subject Diffraction gratings. en
dc.title Analysis of diffraction gratings by using an edge element method en_US
dc.parent Journal of the Optical Society of America A: Optics Image Science and Vision en_US
dc.journal.volume 22 en_US
dc.journal.number 2 en_US
dc.publocation USA en_US
dc.identifier.startpage 278 en_US
dc.identifier.endpage 288 en_US
dc.cauo.name FEIT.School of Elec, Mech and Mechatronic Systems en_US
dc.conference Verified OK en_US
dc.for 020500 en_US
dc.personcode 040396 en_US
dc.personcode 0000024579 en_US
dc.personcode 0000024542 en_US
dc.percentage 100 en_US
dc.classification.name Optical Physics en_US
dc.classification.type FOR-08 en_US


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