Method for modeling additive color effect in photonic polycrystals with form anisotropic elements - the case of Entimus imperialis weevil

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Résumé

The calculation of the reflectance of photonic crystals having form-birefringent anisotropic elements in the crystal unit cell, such as cylinders, often turns out to be problematic, especially when the reflectance spectrum has to be computed according to different crystal orientations as in polycrystals for instance. The method we propose here solves this problem in the specific case of photonic crystals whose periodicities are such that there are no diffraction orders except Bragg reflection in the visible range. For a given crystal orientation, the crystal is sliced into layers and the periodic spatial variations of the dielectric function ε are homogenized. Thanks to that homogenization, the calculation can be performed using standard thin film computation codes. In order to demonstrate the usefulness of our method, we applied it to the case of a natural photonic polycrystal found on the cuticle of Entimus imperialis weevil which is a remarkable example of additive color effect. Although each photonic crystal grain of the polycrystal produces a single bright iridescent color, a non-iridescent green matt coloration is perceived by the human eye due to multiscale averaging effects.
langue originaleAnglais
Pages (de - à)13228-13240
Nombre de pages13
journalOptics Express
Volume21
Numéro de publication11
Date de mise en ligne précoce23 mai 2013
Les DOIs
étatPublié - 3 juin 2013

Empreinte digitale

polycrystals
photonics
color
crystals
reflectance
homogenizing
periodic variations
thin films
cells
diffraction

mots-clés

  • Biomaterials
  • Color
  • Computational electromagnetic methods
  • Optics in computing
  • Photonic bandgap materials
  • Photonic crystals
  • Spectra

Citer ceci

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title = "Method for modeling additive color effect in photonic polycrystals with form anisotropic elements - the case of Entimus imperialis weevil",
abstract = "The calculation of the reflectance of photonic crystals having form-birefringent anisotropic elements in the crystal unit cell, such as cylinders, often turns out to be problematic, especially when the reflectance spectrum has to be computed according to different crystal orientations as in polycrystals for instance. The method we propose here solves this problem in the specific case of photonic crystals whose periodicities are such that there are no diffraction orders except Bragg reflection in the visible range. For a given crystal orientation, the crystal is sliced into layers and the periodic spatial variations of the dielectric function ε are homogenized. Thanks to that homogenization, the calculation can be performed using standard thin film computation codes. In order to demonstrate the usefulness of our method, we applied it to the case of a natural photonic polycrystal found on the cuticle of Entimus imperialis weevil which is a remarkable example of additive color effect. Although each photonic crystal grain of the polycrystal produces a single bright iridescent color, a non-iridescent green matt coloration is perceived by the human eye due to multiscale averaging effects.",
keywords = "Photonic crystals, Photonic bandgap materials, Color, Optics in computing, Computational electromagnetic methods, Biomaterials, Spectra, Biomaterials, Color, Computational electromagnetic methods, Optics in computing, Photonic bandgap materials, Photonic crystals, Spectra",
author = "S. Mouchet and J.-F. Colomer and C. Vandenbem and Olivier Deparis and Jean-Pol Vigneron",
note = "Selected by the Editors, Andrew Dunn and Anthony Durkin, for publication in the Virtual Journal for Biomedical Optics (VJBO), Vol. 8, Issue 7, Aug. 1, 2013 (http://www.opticsinfobase.org/vjbo/fulltext.cfm?uri=oe-21-11-13228&id=253790)",
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doi = "10.1364/OE.21.013228",
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pages = "13228--13240",
journal = "Opt. Express",
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publisher = "The Optical Society",
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T1 - Method for modeling additive color effect in photonic polycrystals with form anisotropic elements - the case of Entimus imperialis weevil

AU - Mouchet, S.

AU - Colomer, J.-F.

AU - Vandenbem, C.

AU - Deparis, Olivier

AU - Vigneron, Jean-Pol

N1 - Selected by the Editors, Andrew Dunn and Anthony Durkin, for publication in the Virtual Journal for Biomedical Optics (VJBO), Vol. 8, Issue 7, Aug. 1, 2013 (http://www.opticsinfobase.org/vjbo/fulltext.cfm?uri=oe-21-11-13228&id=253790)

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Y1 - 2013/6/3

N2 - The calculation of the reflectance of photonic crystals having form-birefringent anisotropic elements in the crystal unit cell, such as cylinders, often turns out to be problematic, especially when the reflectance spectrum has to be computed according to different crystal orientations as in polycrystals for instance. The method we propose here solves this problem in the specific case of photonic crystals whose periodicities are such that there are no diffraction orders except Bragg reflection in the visible range. For a given crystal orientation, the crystal is sliced into layers and the periodic spatial variations of the dielectric function ε are homogenized. Thanks to that homogenization, the calculation can be performed using standard thin film computation codes. In order to demonstrate the usefulness of our method, we applied it to the case of a natural photonic polycrystal found on the cuticle of Entimus imperialis weevil which is a remarkable example of additive color effect. Although each photonic crystal grain of the polycrystal produces a single bright iridescent color, a non-iridescent green matt coloration is perceived by the human eye due to multiscale averaging effects.

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