Localization in a synthetic photonic lattice with varying coupling ratio

Author(s):  
Ilya D. Vatnik ◽  
Dmitry Churkin ◽  
Artem Pankov
Keyword(s):  
2021 ◽  
Vol 112 (11-12) ◽  
pp. 3247-3261
Author(s):  
Zhengjian Wang ◽  
Xichun Luo ◽  
Haitao Liu ◽  
Fei Ding ◽  
Wenlong Chang ◽  
...  

AbstractIn recent years, research has begun to focus on the development of non-resonant elliptical vibration-assisted cutting (EVC) devices, because this technique offers good flexibility in manufacturing a wide range of periodic microstructures with different wavelengths and heights. However, existing non-resonant EVC devices for diamond turning can only operate at relatively low frequencies, which limits their machining efficiencies and attainable microstructures. This paper concerns the design and performance analysis of a non-resonant EVC device to overcome the challenge of low operational frequency. The structural design of the non-resonant EVC device was proposed, adopting the leaf spring flexure hinge (LSFH) and notch hinge prismatic joint (NHPJ) to mitigate the cross-axis coupling of the reciprocating displacements of the diamond tool and to combine them into an elliptical trajectory. Finite element analysis (FEA) using the mapped meshing method was performed to assist the determination of the key dimensional parameters of the flexure hinges in achieving high operational frequency while considering the cross-axis coupling and modal characteristics. The impact of the thickness of the LSFH on the sequence of the vibrational mode shape for the non-resonant EVC device was also quantitatively revealed in this study. Moreover, a reduction in the thickness of the LSFH can reduce the natural frequency of the non-resonant EVC device, thereby influencing the upper limit of its operational frequency. It was also found that a decrease in the neck thickness of the NHPJ can reduce the coupling ratio. Experimental tests were conducted to systematically evaluate the heat generation, cross-axis coupling, modal characteristics and diamond tool’s elliptical trajectory of a prototype of the designed device. The test results showed that it could operate at a high frequency of up to 5 kHz. The cross-axis coupling ratio and heat generation of the prototype are both at an acceptable level. The machining flexibility and accuracy of the device in generating microstructures of different wavelengths and heights through tuning operational frequency and input voltage have also been demonstrated via manufacturing the micro-dimple arrays and two-tier microstructured surfaces. High-precision microstructures were obtained with 1.26% and 10.67% machining errors in wavelength and height, respectively.


1952 ◽  
Vol 86 (5) ◽  
pp. 809-810 ◽  
Author(s):  
T. C. Wang ◽  
C. H. Townes ◽  
A. L. Schawlow ◽  
A. N. Holden

2020 ◽  
Vol 20 (1) ◽  
Author(s):  
Jan Riegelmeyer ◽  
Dan Wignall ◽  
Marta P. Estarellas ◽  
Irene D’Amico ◽  
Timothy P. Spiller

AbstractEntanglement is a crucial resource for quantum information processing, and so protocols to generate high-fidelity entangled states on various hardware platforms are in demand. While spin chains have been extensively studied to generate entanglement, graph structures also have such potential; however, only a few classes of graphs have been explored for this specific task. In this paper, we apply a particular coupling scheme involving two different coupling strengths to a graph of two interconnected $$3\times 3$$ 3 × 3 square graphs such that it effectively contains three defects. We show how this structure allows generation of a Bell state whose fidelity depends on the chosen coupling ratio. We apply partitioned graph theory in order to reduce the dimension of the graph and show that, using a reduced graph or a reduced chain, we can still simulate the same protocol with identical dynamics. Finally, we investigate how fabrication errors affect the entanglement generation protocol and how the different equivalent structures are affected, finding that for some specific coupling ratios they are extremely robust.


1994 ◽  
Vol 267 (2) ◽  
pp. C357-C366 ◽  
Author(s):  
P. Korge ◽  
K. B. Campbell

Ca2+ pump function of skeletal muscle sarcoplasmic reticulum (SR) vesicles was measured by monitoring Ca2+ uptake and efflux with a Ca(2+)-sensitive minielectrode and adenosinetriphosphatase (ATPase) activity of the same preparation under the same conditions. The efficiency of Ca2+ transport into SR vesicles, defined by the amount of Ca2+ transported per ATP hydrolyzed (coupling ratio), varied significantly depending on assay conditions. Coupling ratio increased in parallel with increase in precipitating anion concentration, which is supposed to decrease accumulation of free Ca2+ inside vesicles and its subsequent efflux. Membrane-bound creatine kinase-creatine phosphate (CK-CP) system, acting as a ADP sensor and local ATP regenerator, significantly improved Ca2+ pump function when the pump worked with low efficiency (coupling ratio < 1). The effect of CK-CP system on Ca2+ pump function was also dependent on extravesicular Ca2+ concentration ([Ca2+]o), the effect being most significant at high initial [Ca2+]o. Under conditions in which SR vesicles were allowed to decrease [Ca2+]o, as occurs also during muscle relaxation, plateau values of Ca(2+)-ATPase activity were reached at significantly higher [Ca2+]o (54 +/- 5.7, n = 6), compared with leaky vesicles or the condition in which [Ca2+]o was maintained. By preventing local accumulation of ADP, generated in ATPase reactions, CK-CP system also inhibited Ca2+ efflux under conditions in which this efflux was stimulated by the increase of free Ca2+ inside vesicles. This effect was at least partially responsible for the CK-CP-supported increase in Ca2+ uptake and coupling ratios that were more expressed at low precipitating anion concentration. We hypothesize that local ATP regeneration by CK-CP system is one mechanism the cell can use to improve Ca2+ uptake by SR in emergency conditions, where excessive increase in cytoplasmic [Ca2+] may have deleterious effects.


2004 ◽  
Vol 287 (6) ◽  
pp. C1577-C1588 ◽  
Author(s):  
Ronghua ZhuGe ◽  
Kevin E. Fogarty ◽  
Stephen P. Baker ◽  
John G. McCarron ◽  
Richard A. Tuft ◽  
...  

Ca2+ sparks are highly localized Ca2+ transients caused by Ca2+ release from sarcoplasmic reticulum through ryanodine receptors (RyR). In smooth muscle, Ca2+ sparks activate nearby large-conductance, Ca2+-sensitive K+ (BK) channels to generate spontaneous transient outward currents (STOC). The properties of individual sites that give rise to Ca2+ sparks have not been examined systematically. We have characterized individual sites in amphibian gastric smooth muscle cells with simultaneous high-speed imaging of Ca2+ sparks using wide-field digital microscopy and patch-clamp recording of STOC in whole cell mode. We used a signal mass approach to measure the total Ca2+ released at a site and to estimate the Ca2+ current flowing through RyR [ ICa(spark)]. The variance between spark sites was significantly greater than the intrasite variance for the following parameters: Ca2+ signal mass, ICa(spark), STOC amplitude, and 5-ms isochronic STOC amplitude. Sites that failed to generate STOC did so consistently, while those at the remaining sites generated STOC without failure, allowing the sites to be divided into STOC-generating and STOC-less sites. We also determined the average number of spark sites, which was 42/cell at a minimum and more likely on the order of at least 400/cell. We conclude that 1) spark sites differ in the number of RyR, BK channels, and coupling ratio of RyR-BK channels, and 2) there are numerous Ca2+ spark-generating sites in smooth muscle cells. The implications of these findings for the organization of the spark microdomain are explored.


2021 ◽  
Author(s):  
HECTOR SANTIAGO-HERNANDEZ ◽  
Beethoven Bravo-Medina ◽  
Azael MORA-NUÑEZ ◽  
Jorge Flores ◽  
Guillermo García-Torales ◽  
...  

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