Two-dimensional Talbot array illuminators with single-step phase grating

1996 ◽  
Vol 13 (1) ◽  
pp. 126 ◽  
Author(s):  
Xiao-Yi Da ◽  
Qu-Quan Wang ◽  
Xin-jian Xue
2006 ◽  
Vol 39 (4) ◽  
pp. 563-570 ◽  
Author(s):  
M. A. Deij ◽  
J. H. Los ◽  
H. Meekes ◽  
E. Vlieg

Steps on surfaces are important in crystal growth theory, as the step free energy determines the two-dimensional nucleation rate, island growth, step flow and spiral growth. In this paper, it is illustrated that in general in lattice models the step energy of a single step cannot be determined directly by counting broken bonds. A new method is proposed that uses the geometry of a step together with the bonding topology, allowing for a straightforward determination of single-step energies for any case. The method is applied to an anisotropic Kossel model.


2014 ◽  
Vol 51 (4) ◽  
pp. 999-1020 ◽  
Author(s):  
S. Ashrafi ◽  
M. Asadi

This paper is an investigation into the reliability and stochastic properties of three-state networks. We consider a single-step network consisting of n links and we assume that the links are subject to failure. We assume that the network can be in three states, up (K = 2), partial performance (K = 1), and down (K = 0). Using the concept of the two-dimensional signature, we study the residual lifetimes of the networks under different scenarios on the states and the number of failed links of the network. In the process of doing so, we define variants of the concept of the dynamic signature in a bivariate setting. Then, we obtain signature based mixture representations of the reliability of the residual lifetimes of the network states under the condition that the network is in state K = 2 (or K = 1) and exactly k links in the network have failed. We prove preservation theorems showing that stochastic orderings and dependence between the elements of the dynamic signatures (which relies on the network structure) are preserved by the residual lifetimes of the states of the network (which relies on the network ageing). Various illustrative examples are also provided.


2010 ◽  
Vol 283 (9) ◽  
pp. 1950-1955 ◽  
Author(s):  
Ching-Fen Kao ◽  
Hung-Lin Huang ◽  
Sheng-Hua Lu

2018 ◽  
Vol 52 (2-3-4) ◽  
pp. 235-251
Author(s):  
Friedrich Otto ◽  
František Mráz

Here, we study the cyclic extensions of Sgraffito automata and of deterministic two-dimensional two-way ordered restarting automata for picture languages. Such a cyclically extended automaton can move in a single step from the last column (or row) of a picture to the first column (or row). For Sgraffito automata, we show that this cyclic extension does not increase the expressive power of the model, while for deterministic two-dimensional two-way restarting automata, the expressive power is strictly increased by allowing cyclic moves. In fact, for the latter automata, we take the number of allowed cyclic moves in any column or row as a parameter, and we show that already with a single cyclic move per column (or row) the deterministic two-dimensional extended two-way restarting automaton can be simulated. On the other hand, we show that two cyclic moves per column or row already give the same expressive power as any finite number of cyclic moves.


2006 ◽  
Vol 45 (1) ◽  
pp. 33 ◽  
Author(s):  
Jin Won Sung ◽  
Heidi Hockel ◽  
Jeremiah D. Brown ◽  
Eric G. Johnson

Lab on a Chip ◽  
2012 ◽  
Vol 12 (11) ◽  
pp. 1995 ◽  
Author(s):  
Tatsuro Endo ◽  
Masaya Sato ◽  
Hiroshi Kajita ◽  
Norimichi Okuda ◽  
Satoru Tanaka ◽  
...  

2017 ◽  
Vol 10 (03) ◽  
pp. 1750031
Author(s):  
Liangwei Wang ◽  
Shuai Guo ◽  
Ke Chai ◽  
Liang Liang ◽  
An li ◽  
...  

Using synthesized sol–gel nanoimprint resist, large-area, ordered SiO2 cylindrical and stripe photonic nanostructures with constant aspect ratio have been fabricated by a single-step soft stamp hot embossing nanoimprint. Different from the traditional hot embossing nanoimprint technique, in our imprint process, the external force applied to the soft stamp is provided just by using our hand. Since the stress can be well released, the stamp can be easily released after the hot stage cooling down. So the optical window (K9 glass) substrates with imprinted two-dimensional SiO2 cylindrical photonic nanostructures show good light diffraction property. Also, our experiment demonstrates that with the imprinted sample annealing at 200[Formula: see text]C, the density of SiO2 will be increased and the diffraction efficiency can be further enhanced. In addition, the light splitting characteristic can still keep good for a larger (6 inch) substrate, which has a certain radian. This illustrates that this nanoimprint method can be compatible with the fluctuation of the imprinted substrates. Furthermore, as the distance between two adjacent feature nanostructures is in sub-micro scale, hexagonal symmetry diffraction pattern by the cylindrical photonic structures was realized at normal incidence of monochromatic laser ([Formula: see text]532[Formula: see text]nm). The diffraction efficiency of first order is about 11.2%. Morever, the diffraction pattern and the intensity of the first diffraction order can be modulated just by changing the incident angle of the input laser.


Nanoscale ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 4189-4193 ◽  
Author(s):  
Yamei Ding ◽  
Qing Chang ◽  
Fei Xiu ◽  
Yingying Chen ◽  
Zhengdong Liu ◽  
...  

Zero- and two-dimensional hybrid carbon phosphors have been preparedviaa facile single-step hydrothermal method to realize high colorimetric purity white light-emission.


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