MODAL METHOD BASED ON SUBSECTIONAL GEGENBAUER POLYNOMIAL EXPANSION FOR LAMELLAR GRATINGS: WEIGHTING FUNCTION, CONVERGENCE AND STABILITY | Zendy

M. Kofi Edee | Zendy; Ismail Fenniche | Zendy; Gérard Granet | Zendy; Brahim Guizal | Zendy

Open Access

MODAL METHOD BASED ON SUBSECTIONAL GEGENBAUER POLYNOMIAL EXPANSION FOR LAMELLAR GRATINGS: WEIGHTING FUNCTION, CONVERGENCE AND STABILITY

Author(s) -

M. Kofi Edee,

Ismail Fenniche,

Gérard Granet,

Brahim Guizal

Publication year - 2013

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier12061311

Subject(s) - eigenvalues and eigenvectors , helmholtz equation , mathematical analysis , mathematics , piecewise , matrix (chemical analysis) , modal , rate of convergence , boundary value problem , physics , materials science , computer science , quantum mechanics , computer network , channel (broadcasting) , polymer chemistry , composite material

International audienceThe 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

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