%0 Journal Article
%T MODAL METHOD BASED ON SUBSECTIONAL GEGEN- BAUER POLYNOMIAL EXPANSION FOR LAMELLAR GRATINGS: WEIGHTING FUNCTION, CONVERGENCE AND STABILITY
%+ Laboratoire des sciences et matériaux pour l'électronique et d'automatique (LASMEA)
%+ Laboratoire Charles Coulomb (L2C)
%A Edee, K.
%A Fenniche, I
%A Granet, Gérard
%A Guizal, Brahim
%< avec comité de lecture
%Z L2C:12-357
%@ 1070-4698
%J Progress In Electromagnetics Research
%I EMW Publishing
%V 133
%P 17-35
%8 2013
%D 2013
%R 10.2528/PIER12061311
%K Diffraction gratings
%K modal methods
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X The Modal Method by Gegenbauer polynomials Expan- sion (MMGE) has been recently introduced for lamellar gratings by Edee [8]. This method shows a promising potential of outstanding convergence but still suffers from instabilities when the number of polynomials is increased. In this work, we identify the origin of these instabilities and propose a way to remove them.
%G English
%2 https://hal.science/hal-00813180/document
%2 https://hal.science/hal-00813180/file/02.12061311.pdf
%L hal-00813180
%U https://hal.science/hal-00813180
%~ PRES_CLERMONT
%~ CNRS
%~ UNIV-BPCLERMONT
%~ L2C
%~ ACL-SF
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021