Multiple Bragg diffraction effects in angle-resolved reflection and transmission spectra of opaline photonic crystal films

V. G. Fedotov; T. A. Ukleev; A. Yu. Men'shikova; N. N. Shevchenko; A. V. Sel'kin

doi:10.1117/12.922803

25 April 2012 Multiple Bragg diffraction effects in angle-resolved reflection and transmission spectra of opaline photonic crystal films

V. G. Fedotov, T. A. Ukleev, A. Yu. Men'shikova, N. N. Shevchenko, A. V. Sel'kin

Author Affiliations +

Proceedings Volume 8425, Photonic Crystal Materials and Devices X; 842525 (2012) https://doi.org/10.1117/12.922803
Event: SPIE Photonics Europe, 2012, Brussels, Belgium

Abstract

We report on theoretical and experimental studies of multiple Bragg diffraction of light in three-dimensional photonic crystals possessing high dielectric contrast. Self-assembled opaline photonic crystals made up of monodisperse polystyrene microspheres are used as an example in our measurements. A new approach is considered to analyze and quantitatively describe the Bragg reflection and transmission complex-shaped contours. Our method is based on the dynamical diffraction theory generalized to the case of a three-dimensional spatially periodic medium characterized by high dielectric contrast and allows one to calculate in a simple analytical way the reflection and transmission spectra. The spatial Fourier components of the dielectric function are calculated taking into account a sintering of the spheres forming the opaline structure. Numerical calculations of the angle-resolved Bragg reflection and transmission spectra are performed, and those are compared with the dispersion curves of the electromagnetic eigenmodes for the opaline photonic crystals spatially confined along the [111] direction. The peculiarities in the optical spectra are found to correspond to singular points in the eigenmode dispersion curves. It is shown also that under the multiple Bragg diffraction conditions the reflection and transmission contours are shaped due to conventional photonic stop-band states as well as additional low-group-velocity modes ("slow light" modes). The contours calculated show a good agreement with our experimental data if a uniaxial strain along the sedimentation direction [111] and the particle sintering are accounted for.

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V. G. Fedotov, T. A. Ukleev, A. Yu. Men'shikova, N. N. Shevchenko, and A. V. Sel'kin "Multiple Bragg diffraction effects in angle-resolved reflection and transmission spectra of opaline photonic crystal films", Proc. SPIE 8425, Photonic Crystal Materials and Devices X, 842525 (25 April 2012); https://doi.org/10.1117/12.922803

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