scholarly journals Negative Propagation Effects in Two-Dimensional Silicon Photonic Crystals

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Ping Jiang ◽  
Kang Xie ◽  
Huajun Yang ◽  
Zhenhai Wu
Keyword(s):  
Photonic Crystals ◽  
Eigenvalue Problems ◽  
Negative Refraction ◽  
Hexagonal Lattice ◽  
Fdtd Method ◽  
Expansion Method ◽  
Complex Eigenvalue ◽  
Two Dimensional ◽  
Negative Index ◽  
Silicon Photonic

We demonstrated negative refraction effects of light propagating in two-dimensional square and hexagonal-lattice silicon photonic crystals (PhCs). The plane wave expansion method was used to solve the complex eigenvalue problems, as well as to find dispersion curves and equal-frequency contour (EFC). The finite-difference time-domain (FDTD) method was used to simulate and visualize electromagnetic wave propagation and scattering in the PhCs. Theoretical analyses and numerical simulations are presented. Two different kinds of negative refractions, namely, all-angle negative refraction (AANR) without a negative index and negative refraction with effective negative index, have been verified and compared.

scholarly journals Far-Field Focus and Dispersionless Anticrossing Bands in Two-Dimensional Photonic Crystals

2007 ◽  
Vol 2007 ◽  
pp. 1-8
Author(s):  
Xiaoshuang Chen ◽  
Renlong Zhou ◽  
Yong Zeng ◽  
Hongbo Chen ◽  
Wei Lu
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystals ◽  
Negative Refraction ◽  
Far Field ◽  
Two Dimensional ◽  
Surface Polaritons ◽  
Concave Lens ◽  
Bloch Mode ◽  
Two Dimensional Photonic Crystal ◽  
Photonic Band

We review the simulation work for the far-field focus and dispersionless anticrossing bands in two-dimensional (2D) photonic crystals. In a two-dimensional photonic-crystal-based concave lens, the far-field focus of a plane wave is given by the distance between the focusing point and the lens. Strong and good-quality far-field focusing of a transmitted wave, explicitly following the well-known wave-beam negative refraction law, can be achieved. The spatial frequency information of the Bloch mode in multiple Brillouin zones (BZs) is investigated in order to indicate the wave propagation in two different regions. When considering the photonic transmission in a 2D photonic crystal composed of a negative phase-velocity medium (NPVM), it is shown that the dispersionless anticrossing bands are generated by the couplings among the localized surface polaritons of the NPVM rods. The photonic band structures of the NPVM photonic crystals are characterized by a topographical continuous dispersion relationship accompanied by many anticrossing bands.

scholarly journals NEGATIVE REFRACTION AND SUBWAVELENGTH FOCUSING USING PHOTONIC CRYSTALS

2004 ◽  
Vol 18 (25) ◽  
pp. 1275-1291 ◽  
Author(s):  
EKMEL OZBAY ◽  
KAAN GUVEN ◽  
ERTUGRUL CUBUKCU ◽  
KORAY AYDIN ◽  
B. KAMIL ALICI
Keyword(s):  
Optical Properties ◽  
Photonic Crystals ◽  
Negative Refraction ◽  
Numerical Study ◽  
Effective Index ◽  
Index Of Refraction ◽  
Far Field ◽  
Two Dimensional ◽  
Flat Lens ◽  
Effective Index Of Refraction

In this article, we present an experimental and numerical study of novel optical properties of two-dimensional dielectric photonic crystals (PCs) which exhibit negative refraction. We investigate two mechanisms which utilize the band structure of the PC to generate a negative effective index of refraction (n eff <0) and demonstrate the negative refraction experimentally. To the isotropic extend of n eff , different PC slab structures are employed to focus the radiation of a point source. It is shown experimentally that the PC can generate an image of the source with subwavelength resolution in the vicinity of the PC interface. Using a different PC, one can also obtain a far field focusing. In the latter case, we explicitly show the flat lens behavior of the structure. These examples indicate that PC-based lenses can surpass limitations of conventional lenses and lead to novel optics applications.

Large-area two-dimensional silicon photonic crystals for infrared light fabricated with laser interference lithography

2004 ◽  
Vol 15 (5) ◽  
pp. 639-642 ◽  
Author(s):  
L Prodan ◽  
T G Euser ◽  
H A G M van Wolferen ◽  
C Bostan ◽  
R M de Ridder ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Infrared Light ◽  
Interference Lithography ◽  
Laser Interference Lithography ◽  
Two Dimensional ◽  
Laser Interference ◽  
Large Area ◽  
Silicon Photonic

A Two-Dimensional Nonorthogonal WLP-FDTD Method for Eigenvalue Problems

2013 ◽  
Vol 23 (10) ◽  
pp. 515-517
Author(s):  
Wei-Jun Chen ◽  
Wei Shao ◽  
Jia-Lin Li ◽  
Bing-Zhong Wang
Keyword(s):  
Eigenvalue Problems ◽  
Fdtd Method ◽  
Two Dimensional

Tunable negative refraction based on the Pockels effect in two-dimensional photonic crystals composed of electro-optic crystals

2007 ◽  
Vol 101 (1) ◽  
pp. 013516 ◽  
Author(s):  
Jian Li ◽  
Ming-Hui Lu ◽  
Liang Feng ◽  
Xiao-Ping Liu ◽  
Yan-Feng Chen
Keyword(s):  
Photonic Crystals ◽  
Negative Refraction ◽  
Two Dimensional ◽  
Pockels Effect ◽  
Electro Optic
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