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.
© 2012 Optical Society of America
Original Manuscript: October 2, 2012
Revised Manuscript: November 9, 2012
Manuscript Accepted: November 10, 2012
Published: November 29, 2012
Denis Gagnon, Joey Dumont, and Louis J. Dubé, "Beam shaping using genetically optimized two-dimensional photonic crystals," J. Opt. Soc. Am. A 29, 2673-2678 (2012)