Numerical scheme for the modal method based on subsectional Gegenbauer polynomial expansion: application to biperiodic binary grating

K Edee, JP Plumey - JOSA A, 2015 - opg.optica.org
The modal method based on Gegenbauer polynomials (MMGE) is extended to the case of
bidimensional binary gratings. A new concept of modified polynomials is introduced in order …

Spectral Galerkin mode-matching method for applications in photonics

N Zhang, YY Lu - Physical Review E, 2024 - APS
Many engineered photonic devices can be decomposed into parts where the material
properties are independent of one or more spatial variables. Numerical mode-matching …

Convergence analysis of various factorization rules in the Fourier-Bessel basis for solving Maxwell equations using modal methods

M Dems - Optics Express, 2021 - opg.optica.org
The choice of factorization rule can strongly affect the convergence of solutions to Maxwell
equations based on the orthogonal expansion of electromagnetic fields. While this issue has …

Matched coordinates in the framework of polynomial modal methods for complex metasurface modeling

K Edee, JP Plumey, A Moreau, B Guizal - JOSA A, 2018 - opg.optica.org
The polynomial modal method (PMM) is one of the most powerful methods for modeling
diffraction from lamellar gratings. In the present work, we show that applying it to the so …

Scattering by cylinders with an arbitrary cross-section using domain decomposition and polynomial expansions

TA Rafalimanana, G Granet, KD Raniriharinosy - JOSA A, 2023 - opg.optica.org
In this paper, the electromagnetic field scattered by a cylinder with an arbitrary cross section
is computed using a domain decomposition method in which the structure under …

Jet électromagnétique 3D: détection, imagerie et contrôle non destructif dans des structures opaques

H Hyani - 2021 - theses.hal.science
Depuis 2004, il a été montré qu'une sphère diélectrique de quelques longueurs d'onde
pouvait concentrer une onde électromagnétique en champ proche en un faisceau ayant une …

Reformulation of the modal method based on Gegenbauer polynomial expansion for cylindrical structures with arbitrary cross sections

K Edee, M Abboud, G Granet, JF Cornet, J Dauchet - JOSA A, 2014 - opg.optica.org
The work presented here focuses on the numerical modeling of cylindrical structure
eigenmodes with an arbitrary cross section using Gegenbauer polynomials. The new …

Scattering by a dielectric cylinder with arbitrary cross section using Pseudo-spectral Modal Method

TA Rafalimanana, G Granet… - The 8th International …, 2022 - hal.science
We present a new semi-analytical formulation for diffraction by structured cylinders. A
pseudo-spectral method is used to solve the Maxwell equations written in curvilinear …

Full-Vectorial Polynomial Modal Method for Circular Waveguides with Application to Reflection and Diffraction at the End of Radially Inhomogeneous Cylinders

G Granet, K Edee, H Hyani - 2020 IEEE Ukrainian Microwave …, 2020 - ieeexplore.ieee.org
Full-Vectorial Polynomial Modal Method for Circular Waveguides with Application to Reflection
and Diffraction at the End of Radi Page 1 Full-Vectorial Polynomial Modal Method for Circular …

[PDF][PDF] Polynomial Modal Methods for efficient modeling of resonant phenomenons in Nanophotonics

K Edee - researchgate.net
▶ For two-dimensional optical waveguides, the number and the characteristics of the modes
can be completely described through the TE and TM polarizations. However, a realistic …