Beam shaping using genetically optimized two-dimensional photonic crystals

Abstract

We propose the use of two-dimensional photonic crystals 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 wavefunction of a 2D photonic crystal 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.

References in corpus (3)

• Taming random lasers through active spatial control of the pump
• Beam shaping by a layered structure with left-handed materials
• Generation of J0-Bessel-Gauss Beam by an heterogeneous refractive index map

Cited by in corpus (6)

• Ab initio investigation of lasing thresholds in photonic molecules
• Multiobjective optimization in integrated photonics design
• Lorenz-Mie theory for 2D scattering and resonance calculations
• Optimization of integrated polarization filters
• Coherent beam shaping using two-dimensional photonic crystals
• Adding SALT to Coupled Microcavities: the making of active photonic molecule lasers