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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 28 — Oct. 1, 2012
  • pp: 6732–6737

Visible light Laue diffraction from woodpile photonic crystals

Björn Brüser, Isabelle Staude, Georg von Freymann, Martin Wegener, and Ullrich Pietsch  »View Author Affiliations

Applied Optics, Vol. 51, Issue 28, pp. 6732-6737 (2012)

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Bragg diffraction is often used as a tool to assess the structural quality of two-dimensional and three-dimensional (3D) photonic crystals. However, direct conclusions from the Laue diagrams to the underlying crystals structure cannot be drawn, as multiple scattering due to the high index contrast takes place. Here we systematically study the scattering of visible light by 3D woodpile photonic crystals with varying internal refractive index contrast Δn, to determine the limits of the single (kinematic) scattering approach. We aim to describe the intensity distribution of diffracting Bragg peaks with analytic expressions similarly to x-ray scattering at electronic crystals. Measured scattering curves of selected Bragg reflections are classified in terms of Δn. We find that the kinematic approach describes the shape and intensity distribution of experimental scattering curves in acceptable accuracy as long as Δn<0.15. The transition between single and multiple scattering is observed for Δn0.160.25 before multiple scattering dominates for larger Δn. The classification of the scattering regimes is confirmed by simulations in terms of numerical solution of Maxwell’s equations.

© 2012 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(160.5298) Materials : Photonic crystals

ToC Category:
Diffraction and Gratings

Original Manuscript: July 13, 2012
Manuscript Accepted: August 15, 2012
Published: September 25, 2012

Björn Brüser, Isabelle Staude, Georg von Freymann, Martin Wegener, and Ullrich Pietsch, "Visible light Laue diffraction from woodpile photonic crystals," Appl. Opt. 51, 6732-6737 (2012)

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