Hybrid composed method associating conformal transformation with matrix formulation for computing eigenvalues and eigenvectors in bended optical waveguides

Autor: L. Garnier, C. Saavedra, R. Castro-Beltrán, J.L. Lucio M., E. Gaviot, B. Bêche
Přispěvatelé: Institut de Physique de Rennes (IPR), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Centre National de la Recherche Scientifique (CNRS), Universidad de Guanajuato, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université de Rennes (UR)-Centre National de la Recherche Scientifique (CNRS), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Discretization
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
Physics::Optics
Conformal map
02 engineering and technology
01 natural sciences
Waveguide (optics)
010309 optics
Matrix (mathematics)
020210 optoelectronics & photonics
0103 physical sciences
0202 electrical engineering
electronic engineering
information engineering
Electrical and Electronic Engineering
mathematic conformal transformation with multilayer formalism methods
Eigenvalues and eigenvectors
Physics
Numerical analysis
Mathematical analysis
Integrated optics
Atomic and Molecular Physics
and Optics
[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]
Electronic
Optical and Magnetic Materials
hybrid composed method
Transformation (function)
Personal computer
[SPI.OPTI]Engineering Sciences [physics]/Optics / Photonic
Zdroj: Optik
Optik, Elsevier, 2017, 142, pp.536-540. ⟨10.1016/j.ijleo.2017.06.035⟩
Optik, 2017, 142, pp.536-540. ⟨10.1016/j.ijleo.2017.06.035⟩
ISSN: 0030-4026
DOI: 10.1016/j.ijleo.2017.06.035⟩
Popis: International audience; A fast hybrid composed and numerical method for the calculation of eigenvalues (effective indices) and eigenvectors (optical modes) of a slab waveguide presenting a radius of curvature is presented in this letter. This compound method combines a conformal transformation of the complex plane plus a multilayer matrix formalism addressing directly the modified index profile obtained by the conformal transformation; the matrix formalism is then applied in second step so as to discretize and slice the profile in a virtual multilayer structure. This method being conveniently operable on a personal computer in a short amount of time and is easy to implement. Its results are then compared to values afforded with the commercial vectorial software COMSOL 3D so as to discuss their accuracy.
Databáze: OpenAIRE
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