2008
DOI: 10.3938/jkps.52.1589
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Angle-Resolved Reflectivity and Self-Activated Luminescence of 3D Photonic Crystals

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Cited by 4 publications
(4 citation statements)
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“…The decrease in the transmission for λ ≤ 350 nm is due to the cutoff in transmission of matrix/substrate of the fluco. We fit the angle dependent position of the reflection peaks with the appropriate Bragg relation 15 λ max = 2$\sqrt {2/3} \, D \sqrt {n^2 - {\rm sin} ^2 \phi } $ to independently extract the sphere diameter D = 259 nm and average opal refractive index n OP = 1.38, which both agree well with the above data (Fig. 5).…”
supporting
confidence: 72%
“…The decrease in the transmission for λ ≤ 350 nm is due to the cutoff in transmission of matrix/substrate of the fluco. We fit the angle dependent position of the reflection peaks with the appropriate Bragg relation 15 λ max = 2$\sqrt {2/3} \, D \sqrt {n^2 - {\rm sin} ^2 \phi } $ to independently extract the sphere diameter D = 259 nm and average opal refractive index n OP = 1.38, which both agree well with the above data (Fig. 5).…”
supporting
confidence: 72%
“…For an opal, the periodic three-dimensional grating actually relies on an ensemble of contacted spheres, but the principle of a geometric condition governing the direction of a Bragg diffraction still applies. The standard Bragg condition kl = 2a cos(q), with k an integer, a the distance between successive planes, and q the incidence angle, should however include the effect of propagation in the opal as an heterogeneous medium, so that a modified equation [6] is often applied to find the wavelength lmax for an opal [12][13]24]: k l max /D = 2. (2/3) 1/2 (n² eff -sin²q) 1/2 (5) Eq.…”
Section: Bragg Reflection and Fabry-perot Oscillationsmentioning
confidence: 99%
“…This crude model has even been used to describe antireflection properties of a single layer opal [22,23]. It is actually often combined with the geometrical periodicity of the opal crystalline arrangement [6,[11][12][13][24][25] in order to predict a peak of reflectivity in analogy with a Bragg diffraction peak, so that the "effective index" allows to determine the optical periodicity inside the opal. By adjusting the model to experiments performed under various incidences, a refined estimate of the sphere diameter and/or of the sphere index (i.e.…”
Section: Introductionmentioning
confidence: 99%
“…Robust 5 ϫ 5 ϫ 0.5 mm 3 samples were obtained ͑Ϸ2000 layers͒. 27,28 Figure 1 presents the opal band diagram calculated numerically by a direct computation of the eigenstates and eigenvalues of Maxwell's equations ͑using a plane wave basis͒, 29 showing a photonic pseudogap at the L point of the photonic Brillouin zone.…”
Section: Opals Characterizationmentioning
confidence: 99%