Numerical method of Brillouin zone integrals of vectorial fields in photonic crystals

2003 ◽  
Vol 308 (2-3) ◽  
pp. 116-119 ◽  
Author(s):  
Xue-Hua Wang ◽  
Ben-Yuan Gu ◽  
Rong-Zhou Wang
2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Tao Xu ◽  
Dejun Zhu ◽  
Zhi Hong Hang

Abstract Triply-degenerate Dirac-like cone at the Brillouin zone center attracts much research interest in recent years. Whether the linear dispersion in such a Dirac-like cone reflects the same physics to Dirac cones at the Brillouin zone boundaries is still under investigation. In this manuscript, through microwave experiments and numerical simulations, we observe intriguing pulse reshaping phenomena in double-zero-index photonic crystals, which cannot be fully understood from their close-to-zero effective parameters. A reshaped pulse, with frequency components close to the Dirac frequency filtered, is propagating at a constant group velocity while part of these filtered frequencies appears at a much later time. In time domain measurements, we find a way to separate the effect between the linear dispersion and the extra flat band in Dirac-like cone to have a better understanding of the underneath physics. We succeed in obtaining the group velocity inside a double-zero-index photonic crystal and good consistence can be found between experiments, numerical simulations and band diagram calculations.


2012 ◽  
Vol 32 (7) ◽  
pp. 0726002
Author(s):  
许振龙 Xu Zhenlong ◽  
吴福根 Wu Fugen ◽  
郭钟宁 Guo Zhongning

2011 ◽  
Vol 9 (72) ◽  
pp. 1609-1614 ◽  
Author(s):  
Bodo D. Wilts ◽  
Kristel Michielsen ◽  
Hans De Raedt ◽  
Doekele G. Stavenga

The brilliant structural body colours of many animals are created by three-dimensional biological photonic crystals that act as wavelength-specific reflectors. Here, we report a study on the vividly coloured scales of the diamond weevil, Entimus imperialis . Electron microscopy identified the chitin and air assemblies inside the scales as domains of a single-network diamond ( Fd 3 m ) photonic crystal. We visualized the topology of the first Brillouin zone (FBZ) by imaging scatterometry, and we reconstructed the complete photonic band structure diagram (PBSD) of the chitinous photonic crystal from reflectance spectra. Comparison with calculated PBSDs indeed showed a perfect overlap. The unique method of non-invasive hemispherical imaging of the FBZ provides key insights for the investigation of photonic crystals in the visible wavelength range. The characterized extremely large biophotonic nanostructures of E. imperialis are structurally optimized for high reflectance and may thus be well suited for use as a template for producing novel photonic devices, e.g. through biomimicry or direct infiltration from dielectric material.


2002 ◽  
Vol 10 (22) ◽  
pp. 1299 ◽  
Author(s):  
Massimiliano Marrone ◽  
V. Rodriguez-Esquerre ◽  
H. Hernandez-Figueroa

2013 ◽  
Vol 834-836 ◽  
pp. 885-888
Author(s):  
Hui Ling Sun ◽  
Qing Bo Li ◽  
Hua Bao Chen ◽  
Bao Ding Chen

The twist effects of the bands during the rotation of rectangular bases are analysed in two-dimensional gyromagnetic photonic crystals with a square lattice. We find that extrema’s position have been dislocated from the high-symmetry line in the whole area of the first Brillouin zone (BZ), resulting in erroneous values for the band gap. These make us to calculate the whole first BZ to obtain the authentic band structure instead of boundary calculation.


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