Photonic band gap in the face-centered cubic lattice of spherical shells connected by cylindrical tubes

2005 ◽  
Vol 72 (11) ◽  
Author(s):  
Hong-Bo Chen ◽  
Yong-Zheng Zhu ◽  
Yan-Ling Cao ◽  
Yan-Ping Wang ◽  
Yuan-Bin Chi
Keyword(s):  
Band Gap ◽  
Photonic Band Gap ◽  
Face Centered Cubic ◽  
Spherical Shells ◽  
Cubic Lattice ◽  
Cylindrical Tubes ◽  
The Face ◽  
Face Centered ◽  
Photonic Band

Exploring Space Groups for Three Dimensional Photonic Band Gap Structures Via Level Set Equations: The Face Centered Cubic Lattice

2003 ◽  
Vol 788 ◽  
Author(s):  
Martin Maldovan ◽  
Chaitanya K. Ullal ◽  
Craig W. Carter ◽  
Edwin L. Thomas
Keyword(s):  
Band Gap ◽  
Level Set ◽  
Photonic Band Gap ◽  
Band Gaps ◽  
High Symmetry ◽  
Face Centered Cubic ◽  
Photonic Band Gaps ◽  
Basic Set ◽  
Face Centered ◽  
Photonic Band

ABSTRACTA level set approach was used to study photonic band gaps for dielectric composites with symmetries of the eleven face centered cubic lattices. Candidate structures were modeled for each group by a 3D surface given by f(x,y,z)-t=0 obtained by equating f to an appropriate sum of structure factor terms. This approach allows us to easily map different structures and gives us an insight into the effects of symmetry, connectivity and genus on photonic band gaps. It is seen that a basic set of symmetries defines the essential band gap and connectivity. The remaining symmetry elements modify the band gap. The eleven lattices are classified into four fundamental topologies on the basis of the occupancy of high symmetry Wyckoff sites. Of the fundamental topologies studied, three display band gaps--- including two: the (F-RD) and a group 216 structure that have not been reported previously.

THE SIZE INFLUENCE OF SILICA MICROSPHERES ON PHOTONIC BAND GAP OF PHOTONIC CRYSTALS

2007 ◽  
Vol 21 (16) ◽  
pp. 2761-2768 ◽  
Author(s):  
XIYING MA ◽  
ZHIJUN YAN
Keyword(s):  
Photonic Crystals ◽  
Band Gap ◽  
Photonic Band Gap ◽  
Three Dimensional ◽  
Refraction Index ◽  
Face Centered Cubic ◽  
Silica Microspheres ◽  
Large Shift ◽  
Face Centered ◽  
Photonic Band

The size influence of silica microspheres on the photonic band gap (PBG) of three-dimensional face-centered-cubic (fcc) photonic crystals (PCs) is studied by means of colloidal photonic crystals, which are self-assembled by the vertical deposition technique. Monodispersed SiO 2 microspheres with a diameter of 220–320 nm are synthesized using tetraethylorthosilicate (TEOS) as a precursor material. We find that the PBG of the PCs shifts from 450 nm to 680 nm with silica spheres increasing from 220 to 320 nm. In addition, the PBG moves to higher photon energy when the samples are annealed in a temperature range of 200–700°C. The large shift results from the decrease in refraction index of silica due to moisture evaporation.

A hollow spherical non-closed-packed face-centered cubic uniaxial structure with a photonic band gap

2007 ◽  
Vol 369 (1-2) ◽  
pp. 124-127 ◽  
Author(s):  
Yan-Ling Cao ◽  
Yong-Zheng Zhu ◽  
Zhi-Hui Li ◽  
Juan Ding ◽  
Jun-Song Liu ◽  
...  
Keyword(s):  
Band Gap ◽  
Photonic Band Gap ◽  
Face Centered Cubic ◽  
Face Centered ◽  
Photonic Band

Fabrication and Optical Properties of Nb2O5 Inverse Opal Photonic Crystals by PS Opal Template

2011 ◽  
Vol 688 ◽  
pp. 90-94 ◽  
Author(s):  
Y.Q. Yang ◽  
P.D. Han ◽  
Y.P. Li ◽  
M.H. Dong ◽  
L.L. Zhang ◽  
...  
Keyword(s):  
Band Gap ◽  
Photonic Band Gap ◽  
Face Centered Cubic ◽  
Inverse Opal ◽  
Void Space ◽  
Inverse Opal Structure ◽  
Calculation Results ◽  
Face Centered ◽  
Vertical Deposition Method ◽  
Photonic Band

In this paper, polystyrene (PS) opals template, opal with a closed-packed face centered cubic (fcc) lattice, was prepared using vertical deposition method. The template provided void space for infiltration of Nb2O5 etc. PS colloidal nanospheres was face-centered-cubic (FCC) structure with its (111) planes parallel to the substrate. Finally, the transfer matrix method (TMM) was used to calculate photonic band-gap of PS opal and Nb2O5 inverse opal structure. The calculation results show that the photonic band-gap of Nb2O5 with inverse opal structure is wider than that of PS opals.

MINIMAL KNOTTING NUMBERS

2009 ◽  
Vol 18 (08) ◽  
pp. 1159-1173 ◽  
Author(s):  
CASEY MANN ◽  
JENNIFER MCLOUD-MANN ◽  
RAMONA RANALLI ◽  
NATHAN SMITH ◽  
BENJAMIN MCCARTY
Keyword(s):  
The Body ◽  
Computer Algorithm ◽  
Face Centered Cubic ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
The Face ◽  
Face Centered ◽  
Body Centered Cubic Lattice

This article concerns the minimal knotting number for several types of lattices, including the face-centered cubic lattice (fcc), two variations of the body-centered cubic lattice (bcc-14 and bcc-8), and simple-hexagonal lattices (sh). We find, through the use of a computer algorithm, that the minimal knotting number in sh is 20, in fcc is 15, in bcc-14 is 13, and bcc-8 is 18.

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