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Personne :
Gagnon, Denis

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Gagnon

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Denis

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Département de physique, de génie physique et d'optique, Faculté des sciences et de génie, Université Laval

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ncf11904608

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Voici les éléments 1 - 3 sur 3
  • PublicationRestreint
    Optimization of integrated polarization filters
    (Optical Society, 2014-10-01) Gagnon, Denis; Déziel, Jean-Luc; Dubé, Louis J.; Dumont, Joey
    This study reports on the design of small footprint, integrated polarization filters based on engineered photonic lattices. Using a rods-in-air lattice as a basis for a TE filter and a holes-in-slab lattice for the analogous TM filter, we are able to maximize the degree of polarization of the output beams up to 98% with a transmission efficiency greater than 75%. The proposed designs allow not only for logical polarization filtering, but can also be tailored to output an arbitrary transverse beam profile. The lattice configurations are found using a recently proposed parallel tabu search algorithm for combinatorial optimization problems in integrated photonics.
  • PublicationRestreint
    Lorenz-Mie theory for 2D scattering and resonance calculations
    (Bristol Institute of Physics Publishing, 2015-09-22) Gagnon, Denis; Dubé, Louis J.
    This PhD tutorial is concerned with a description of the two-dimensional generalized Lorenz–Mie theory (2D-GLMT), a well-established numerical method used to compute the interaction of light with arrays of cylindrical scatterers. This theory is based on the method of separation of variables and the application of an addition theorem for cylindrical functions. The purpose of this tutorial is to assemble the practical tools necessary to implement the 2D-GLMT method for the computation of scattering by passive scatterers or of resonances in optically active media. The first part contains a derivation of the vector and scalar Helmholtz equations for 2D geometries, starting from Maxwell's equations. Optically active media are included in 2D-GLMT using a recent stationary formulation of the Maxwell–Bloch equations called steady-state ab initio laser theory (SALT), which introduces new classes of solutions useful for resonance computations. Following these preliminaries, a detailed description of 2D-GLMT is presented. The emphasis is placed on the derivation of beam-shape coefficients for scattering computations, as well as the computation of resonant modes using a combination of 2D-GLMT and SALT. The final section contains several numerical examples illustrating the full potential of 2D-GLMT for scattering and resonance computations. These examples, drawn from the literature, include the design of integrated polarization filters and the computation of optical modes of photonic crystal cavities and random lasers
  • PublicationRestreint
    Multiobjective optimization in integrated photonics design
    (OSA Publishing, 2013-03-18) Gagnon, Denis; Dubé, Louis J.; Dumont, Joey
    We propose the use of the parallel tabu search algorithm (PTS) to solve combinatorial inverse design problems in integrated photonics. To assess the potential of this algorithm, we consider the problem of beam shaping using a two-dimensional arrangement of dielectric scatterers. The performance of PTS is compared to one of the most widely used optimization algorithms in photonics design, the genetic algorithm (GA). We find that PTS can produce comparable or better solutions than the GA, while requiring less computation time and fewer adjustable parameters. For the coherent beam shaping problem as a case study, we demonstrate how PTS can tackle multiobjective optimization problems and represent a robust and efficient alternative to GA.