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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 12 — Dec. 1, 2012
  • pp: 2673–2678

Beam shaping using genetically optimized two-dimensional photonic crystals

Denis Gagnon, Joey Dumont, and Louis J. Dubé  »View Author Affiliations

JOSA A, Vol. 29, Issue 12, pp. 2673-2678 (2012)

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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

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(290.4210) Scattering : Multiple scattering
(230.5298) Optical devices : Photonic crystals

ToC Category:

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)

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