title: Beam shaping using genetically optimized two-dimensional photonic crystals.
abstract: We propose the use of two-dimensional (2D) photonic crystals (PhCs) with engineered defects for the generation of an arbitrary-profile beam from a focused input beam. The cylindrical harmonics expansion of complex-source beams is derived and used to compute the scattered wave function of a 2D PhC via the multiple scattering method. The beam shaping problem is then solved using a genetic algorithm. We illustrate our procedure by generating different orders of Hermite-Gauss profiles, while maintaining reasonable losses and tolerance to variations in the input beam and the slab refractive index.
authors: Département de physique, de génie physique et d’optique, Faculté des Sciences et de Génie, Université Laval, Québec G1V 0A6, Canada.
authors: Denis
authors: D
authors: Gagnon
authors: Joey
authors: J
authors: Dumont
authors: Louis J
authors: LJ
authors: Dubé