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Perfect modes with distinct protective radii

J.M. van den Akker, J.H. Koolen, R.J.M. Vaessens
1990 Discrete Mathematics  
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

Andrei V. Lavrinenko, Wendel Wohlleben, Reinhold J. Leyrer
2009 Optics Express  
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

Xuan Zhu, Hai-Xiao Wang, Changqing Xu, Yun Lai, Jian-Hua Jiang, Sajeev John
2018 Physical review B  
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

Fei Cheng, Xiaodong Yang, Daniel Rosenmann, Liliana Stan, David Czaplewski, Jie Gao
2015 Optics Express  
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

J. S. Bowerbank
1862 Philosophical Transactions of the Royal Society of London  
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

Simon Yves, Romain Fleury, Fabrice Lemoult, Mathias Fink, Geoffroy Lerosey
2017 New Journal of Physics  
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]

J. Hajivandi, E. Kaya, G. Edwards, H. Kurt
2020 arXiv   pre-print
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

J. S. Bowerbank
1858 Philosophical Transactions of the Royal Society of London  
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  
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

Costa Nicolaou, Wah Tung Lau, Raanan Gad, Hooman Akhavan, Ryan Schilling, Ofer Levi
2013 Optics Express  
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

J. S. Bowerbank
1858 Philosophical Transactions of the Royal Society of London  
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

Jian-Wen Dong, Xiao-Dong Chen, Hanyu Zhu, Yuan Wang, Xiang Zhang
2016 Nature Materials  
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

Yasser M Sabry, Bassam Saadany, Diaa Khalil, Tarik Bourouina
2013 Light: Science & Applications  
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]

Nathan Roberts, Guido Baardink, Josh Nunn, Peter J. Mosley, Anton Souslov
2022 arXiv   pre-print
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

Mark J. Ablowitz, Justin T. Cole
2017 Physical Review A  
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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