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Perfect modes with distinct protective radii
1990
Discrete Mathematics
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Our main theorem states that a bipartite perfect (r, l)-error-correcting code with r 3 2 must have r = 2 and in fact is obtained from a code with the parameters of a Preparata code. 0012-365X/90/$3.50 ...
If these balls are not only disjoint but also partition the space of all words, then C is called perfect. ...
V(n, r2) = q", (1.7) Perfect codes with distinct protective radii were studied by M. Gundlach [4] (see also (2, 31 no new examples were found). ...
doi:10.1016/0012-365x(90)90184-j
fatcat:b5b4yrzcbrh75dseblxtyvh7um
Influence of imperfections on the insulating and guiding properties of finite Si-inverted opal crystals
2009
Optics Express
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The stability of the photonic properties of Si-infiltrated opals for fabrication disorder is tested with following models of applied imperfections: deviations in radii of spheres, deviations in spheres ...
Imperfections in both radii and positions (s&s) close the PBG with σ ≥ 0.02. ...
The wide and deep ravine 30-40 dB in depth at frequencies between 0.78 and 0.82 reflects perfect photonic insulation by the complete PBG in spite of rather compact dimensions of the protecting shield. ...
doi:10.1364/oe.17.000747
pmid:19158888
fatcat:od533zfp45bsfag7lvkov5xgw4
Topological transitions in continuously deformed photonic crystals
2018
Physical review B
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2017 pre-print arXiv:1710.08529v1 fatcat:t4getz4jjzfz7b4s22ln7ykh6uOther Versions
By changing the radii of the holes and/or the distance between them, multiple transitions between normal and topological photonic band gaps (PBGs) can appear. ...
We search for optimal topological transitions, i.e., sharp transitions sensitive to the geometry, and optimal topological PBGs, i.e., large PBGs with clean spectrum of edge states. ...
These are lattices of air-holes with small radii for various distance . If the radii of the air-holes are large, different geometries and transitions may appear. ...
doi:10.1103/physrevb.97.085148
fatcat:6cbrvoputjaz7dyskzy7ag24ma
Enhanced structural color generation in aluminum metamaterials coated with a thin polymer layer
2015
Optics Express
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better impedance matching for the plasmonic resonances to the free space so that strong light absorption can be obtained, leading to the generation of pure colors in cyan, magenta, yellow and black (CMYK) with ...
Fig. 1(c )-1(e) show the SEM images and bright-field optical microscope images of three selected samples (20 × 20 μm 2 ) with different periods and hole radii, corresponding to three primary colors of ...
P = 340 nm and r = 120 nm, which results in the near perfect light absorption at the two plasmonic resonance wavelengths at 480 nm and 610 nm of the first-order and the secondorder modes, respectively ...
doi:10.1364/oe.23.025329
pmid:26406729
fatcat:xibnajknwzdn7bul72kv2xj7m4
On the Anatomy and Physiology of the Spongiadae. Part II
1862
Philosophical Transactions of the Royal Society of London
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The mode in which the radii are united, and the material with which they are cemented together indicate a unity of firmness and elasticity in the living state that is truly admirable; and this mode of ...
Two of the inhalant areas, connected by the dermal network :-a, the external protective organ in a perfect condition; b, having the external protective organ removed to exhibit the deeply depressed porous ...
fatcat:amfbyjs7l5df3clbau2tqqd44i
Topological acoustic polaritons: robust sound manipulation at the subwavelength scale
2017
New Journal of Physics
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We consider a finite-size crystal with two domains with distinct topology. ...
domains of distinct topology. ...
doi:10.1088/1367-2630/aa66f8
fatcat:hcspokvaefgpjjsb5bagmfcyxy
Simulating Topological Robustness of Fano Resonance in Rotated Honeycomb Photonic Crystals
[article]
2020
arXiv
pre-print
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The Fano resonance with a distinctive ultra-sharp, asymmetric line shape and high quality factor Q, is a widely occurring phenomena that has a large variety of optical, plasmonic and microwave manifestations ...
In this paper, we explore the characteristic robustness of the Fano resonance mode, which is topologically protected by manufacturing band inversion induced by breaking the mirror symmetry of a two-dimensional ...
field, of the equivalent bound-state in the continuum (BIC) mode for a hexagonal unit cell containing six rods rotating 0 ,−10 (10 ) with the periodic BCs. along the lattice vectors, ⃗ and the Perfect ...
arXiv:2003.07253v5
fatcat:2ln5bhrhqfb6jhangzyl57djk4
On the Anatomy and Physiology of the Spongiadae
1858
Philosophical Transactions of the Royal Society of London
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The remains of the sarcode are crowded with them in a perfect state of preservation. ...
They would thus render the passage of minute annelids and other small enemies extremely difficult; and in one instance, the mode in which the protection of the interior of the sponge is provided for is ...
fatcat:5h5styrt5zbunlbyj7suvoqi24
Page 472 of American Society of Civil Engineers. Collected Journals Vol. 128, Issue 4
[page]
2002
American Society of Civil Engineers. Collected Journals
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Perfect bond exists at all interfaces. This includes the host material/coating, and the coating/core interfaces. ...
In this figure, r, 7. rep- resent the radii of the fiber core and the outer edge of the polymer coating, respectively. ...
Enhanced detection limit by dark mode perturbation in 2D photonic crystal slab refractive index sensors
2013
Optics Express
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We demonstrate for the first time a 300nm thick, 300µm × 300µm 2D dielectric photonic crystal slab membrane with a quality factor of 10,600 by coupling light to slightly perturbed dark modes through alternating ...
we created a new layer architecture resulting in electric field enhancement at the interface between the slab and sensing regions, and spectral sensitivity of >800 nm/RIU, that is, >0.8 of the single-mode ...
Acknowledgements The authors are grateful for the helpful discussions with Shanhui Fan and Victor Liu, Center for Nanoscale Science and Engineering, Stanford University, Stanford, CA and Iliya Sigal, University ...
doi:10.1364/oe.21.031698
pmid:24514742
fatcat:zazoob7k6vg2zo5vov23avg24e
On the Anatomy and Physiology of the Spongiadae
1858
Philosophical Transactions of the Royal Society of London
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The remains of the sarcode are crowded with them in a perfect state of preservation. ...
They would thus render the passage of minute annelids and other small enemies extremely difficult; and in one instance, the mode in which the protection of the interior of the sponge is provided for is ...
The central cavity of the shaft is veiy distinct, and has a diameter equal to about one-fifth that of the medial one of the ...
doi:10.1098/rstl.1858.0016
fatcat:qab2eaizpzdyjm5zozdm6kkmfe
Valley photonic crystals for control of spin and topology
2016
Nature Materials
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We also show the independent control of valley and topology in a single system that has been long pursued in electronic systems, resulting in topologically-protected flat edge states. ...
Here, we propose a concept of valley photonic crystals with electromagnetic duality symmetry but broken inversion symmetry. ...
This degeneracy is constructed by two modes with the same orbital index but different spin indices, and is structurally protected due to the same strengths between photonic valley-spin coupling and spin-orbit ...
doi:10.1038/nmat4807
pmid:27893722
fatcat:7zm5sdtcz5e2boa6gelrmtksza
Silicon micromirrors with three-dimensional curvature enabling lensless efficient coupling of free-space light
2013
Light: Science & Applications
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A nearly 100% coupling was also estimated when matching the sagittal and tangential radii of curvature of the presented micromirror's surface. ...
Introducing dimensionless parameters facilitates the elucidation of the role of key design parameters, including the mirror's radii of curvature, independent of the wavelength. ...
These humps are more distinct at 675 nm due to the smaller z o /R ratio. ...
doi:10.1038/lsa.2013.50
fatcat:43vg6be4pravtm4p3g2cxv6xly
Topological supermodes in photonic crystal fibre
[article]
2022
arXiv
pre-print
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However, a challenge remains to exploit topological protection inside a scalable communications platform. ...
Here we use both modelling and experiments to realise photonic crystal fibre that supports topologically protected supermodes. ...
Because this argument does not rely on the boundary's geometry, the band topology endows this edge modes with protection against disorder. ...
arXiv:2201.10584v1
fatcat:oyrwo2uo7vatbax3bcq4ax2lzm
Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons
2017
Physical Review A
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Nonlinear states, referred to as topologically protected edge solitons are unidirectional edge modes. ...
Topologically protected modes are found; they possess unidirectionality and do not scatter at lattice defect boundaries. ...
It was numerically verified that the left-moving mode interacted with a defect like the topologically protected mode shown in the top row of Fig. 12; i.e. this mode travelled through the defect. ...
doi:10.1103/physreva.96.043868
fatcat:7xgwf6aqpjb7te6sj6q3msser4
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