期刊：
Journal of Computational and Applied Mathematics,2018年336:468-476 ISSN：0377-0427
通讯作者：
Ponnusamy, Saminathan
作者机构：
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
通讯机构：
[Ponnusamy, Saminathan] I;Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
关键词：
Konig's method;Cycle;Fatou set;Attracting basin;Parabolic basin;Siegel disk
摘要：
We consider König’s method for finding roots of polynomials. Let Kf,n be the function defined in König’s method for polynomial f of order n (n≥2). For any given complex number λ∈C and any given set Ω≔{z1,z2,…,zk} of k (k≥2) distinct complex numbers, we present a procedure of constructing a polynomial fn,λ for which Ω is a k-cycle of Kfn,λ,n with multiplier λ.
作者：
He Quan-Guo;Liang Jing;Li Guang-Li*;Deng Pei-Hong*;Liu Jun;...
期刊：
分析化学,2018年46(3):438-445 ISSN：0253-3820
通讯作者：
Li Guang-Li;Deng Pei-Hong
作者机构：
[He Quan-Guo; Li Guang-Li; Liu Xiao-Peng; Liang Jing; Liu Jun] Hunan Univ Technol, Coll Life Sci & Chem, Zhuzhou 412007, Peoples R China.;[Deng Pei-Hong] Hengyang Normal Univ, Dept Chem & Mat Sci, Hengyang 421008, Peoples R China.
通讯机构：
[Li Guang-Li; Deng Pei-Hong] H;Hunan Univ Technol, Coll Life Sci & Chem, Zhuzhou 412007, Peoples R China.;Hengyang Normal Univ, Dept Chem & Mat Sci, Hengyang 421008, Peoples R China.
关键词：
Photonic spin hall effect;Spin-dependent shift;Rotation symmetry;Pancharatnam-Berry phase
摘要：
Photonic spin Hall effect (SHE) manifests itself as spin-dependent shift or splitting of a light beam, which is derived from spin-orbit interactions, and can be realized by breaking the rotation symmetry of light-matter interaction systems. Here, we demonstrate the observation of a photonic SHE by breaking the rotation symmetry of the optical field, while keeping the rotation symmetry of the inhomogeneous waveplate. The inhomogeneous waveplate constructed by dielectric nanostructures, introduces a spin-dependent Pancharatnam-Berry phase to the two spin components of the input beam, i.e., the left- and right-circular polarization components acquire exactly opposite vortex phases. During beam propagation, they experience opposite azimuthal rotations, and induce a four-lobe spin-dependent splitting in the azimuthal direction. In addition, the spin-dependent splitting becomes more evident upon beam propagation, and can be enhanced by increasing the topological orders of the nanostructures. For comparison, we also examine that no spin-dependent splitting can be observed when keeping the rotation symmetry of the incident optical field.
作者机构：
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India.
通讯机构：
[Ponnusamy, Saminathan] I;Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India.
关键词：
Uniformly locally univalent;Analytic functions;Harmonic and stable harmonic mappings;Pre-Schwarzian and Schwarzian;Uniformly hyperbolic radius;Distortion;Hardy space;Bloch space;BMOA;BMOH;Subordination
摘要：
In this paper, we consider the class of uniformly locally univalent harmonic mappings in the unit disk and build a relationship between its pre-Schwarzian norm and uniformly hyperbolic radius. Also, we establish eight ways of characterizing uniformly locally univalent sense-preserving harmonic mappings. We also present some sharp distortions and growth estimates and investigate their connections with Hardy spaces. Finally, we study subordination principles of norm estimates. (C) 2017 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
摘要：
A reaction-based near-infrared (NIR) fluorescent probe, (E)-4-(2-(4-(dicyanometh- ylene)-4H-chromen-2-yl) vinyl)phenyl picolinate (DCM-P), was designed and synthesized by employing the dicyanomethylene-4H-pyran chromophore as the fluorophore and the 2-picolinic ester group as the recognition unit. The proposed probe DCM-P showed significant NIR fluorescence "turn-on" response to Cu2+ with distinct colorimetric change from yellow to purple. The recognition mechanism of probe for Cu2+ was confirmed by fluorescence spectroscopy, H-1 NMR spectra, HAMS spectrometry and TD-DFT calculations. The probe possesses the advantages of large Stokes shift (116 nm), applicability in physiological conditions, low detection limit (2.3 x 10(-8) M), and high selectivity toward Cu2+ in presence of other metal ions. Encouraged by these desirable properties, the probe DCM-P was successfully used for quantitative determination of Cu2+ in real water samples and NIR fluorescence imaging of Cu2+ in living cells with satisfactory results.
摘要：
Organic-inorganic hybrid perovskite solar cells (SCs) have emerged as one of the most promising contenders to traditional silicon solar cells, due to their active layers outstanding photoelectric properties, such as appropriate direct bandgap, balanced high carrier mobility and long carrier diffusion length, the identified power conversion efficiency (PCE) has reached to 22.7%. But the toxic lead, a key component in the archetypical light harvesting material, is a large obstacle to commercialization. Herein, we reviewed the recent progress in lead-free perovskite (-like) SCs according to the valent difference of metal ions in absorber material, e.g., bivalent (Sn2+, Ge2+, Cu2+, Sr2+), trivalent (Bi3+, Sb3+), tetravalent (Sn4+) and hybrid valent (e.g. Ag+ and Bi3+). Finally, we gave an outlook on the tactic to achieve high performance lead-free perovskite (-like) SCs. (c) 2018 Elsevier Ltd. All rights reserved.
摘要：
Information security has become increasingly important with the rapid development of mobile devices and internet. An efficient encryption system is a key to this end. In this paper, we propose an image encryption method based on the cross diffusion of two chaotic maps. We use two chaotic sequences, namely the Logistic map and the Chebyshev map, for key generation which has larger security key space than single one. Moreover, we use these two sequences for further image encryption diffusion which decreases the correlation of neighboring pixels significantly. We conduct extensive experiments on several well-known images like Lena, Baboon, Koala, etc. Experimental results show that our algorithm has the characteristics of large key space, fast, robust to statistic attack, etc.
作者：
Chen, Mansheng;Chen, Shoushun;Chen, Wei;Lucier, Bryan E. G.;Zhang, Yue;...
期刊：
CHEMISTRY OF MATERIALS,2018年30(11):3613-3617 ISSN：0897-4756
通讯作者：
Huang, Yining
作者机构：
[Chen, Mansheng; Chen, Shoushun; Zhang, Yue; Lucier, Bryan E. G.; Huang, Yining] Univ Western Ontario, Dept Chem, London, ON N6A 5B7, Canada.;[Chen, Mansheng] Hengyang Normal Univ, Coll Chem & Mat Sci, Key Lab Funct Organometall Mat, Hengyang 421008, Hunan, Peoples R China.;[Chen, Wei; Zheng, Anmin] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan Ctr Magnet Resonance, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China.;[Chen, Wei] Chinese Acad Sci Univ, Beijing 100049, Peoples R China.
通讯机构：
[Huang, Yining] U;Univ Western Ontario, Dept Chem, London, ON N6A 5B7, Canada.
摘要：
Gas adsorption within the prototypical amidefunctionalized metal-organic frameworks (MOF) Cu(INAIP) has been thoroughly investigated using a combination of single crystal XRD (SCXRD), solid-state NMR (SSNMR) and computational methods. SCXRD was used to locate the exact gas adsorption sites, whereas VT SSNMR spectra were able to probe the local environment about adsorbed gases across a large temperature range, yielding information on the presence and position of nearby paramagnetic metal centers. Computational methods have identified the various interactions responsible for the adsorption of gas molecules, yielding key insights into the host−gas interactions that are unavailable by direct experimental measurement. A cooperative binding model was found to exist in Cu(INAIP) in which the carbonyl group of the amide plays different roles in the adsorption of specific gas molecules, strengthening our understanding of host-gas interactions and gas adsorption in amide-functionalized MOFs.
摘要：
A nanohybrid composed of Ag@Cu2O heterogeneous nanocrystals supported on N-doped reduced graphene oxide (Ag@Cu2O/N-RGO) has been synthesized by a simple wet-chemical method. The resultant composite consists of N-RGO sheets fully and homogeneously coated with a dense layer of Ag@Cu2O nanocrystals. Both Ag and N-RGO are in direct contact with Cu2O, and Ag nanoparticles with sizes of 2-5 nm are mainly deposited on the surface of Cu2O cubes (edge length of 500 nm). The electrochemical studies reveal that the ternary Ag@Cu2O/N-RGO composite exhibit significantly enhanced electrocatalytic activity for H2O2 sensing compared with either the single component (N-RGO) or two component systems (Cu2O/N-RGO and Ag/N-RGO), which is mainly due to the synergetic catalysis of the ternary system. The nonenzymatic sensor based on Ag@Cu2O/N-RGO composite shows overwhelmingly superior comprehensive performance for the H2O2 detection over the documented Ag-based sensors. More specifically, it displays a rapid response (10 s) to H2O2 over a wide linear range of 54-700 nM with a high sensitivity of 1298.3 mu A mM(-1) cm(-2) and a low detection limit of 10 nM. Moreover, the sensor also exhibits the preferable selectivity in the presence of biologically coactive compounds accompanied with long-term stability and good reproducibility. (C) 2018 Elsevier B.V. All rights reserved.
期刊：
Results in Physics,2018年9:215-217 ISSN：2211-3797
通讯作者：
Tang, Shiqing
作者机构：
[Dai, Zhiping; Tang, Shiqing; Ling, Xiaohui] Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421002, Peoples R China.
通讯机构：
[Tang, Shiqing] H;Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421002, Peoples R China.
关键词：
Hollow Gaussian beam;Strongly nonlocal media;Propagation property;Off-waist incident case
摘要：
In this paper, the propagation properties of hollow Gaussian beams (HGBs) are discussed in detail when they are off-waist incident in strongly nonlocal media. A set of mathematic expressions are given to describe the evolutions of the beam intensity, the beam width, and the real beam radius. Numerical simulations are carried out to illustrate these propagation properties depended on the off-waist incidence. It is found that a HGB always periodically transforms its transverse patterns during propagation. Accordingly, the beam width and the real beam radius are also periodic during propagation.
摘要：
Control and detection of sunset yellow is an utmost demanding issue, due to the presence of potential risks for human health if excessively consumed or added. Herein, cuprous oxide-electrochemically reduced graphene nanocomposite modified glassy carbon electrode (Cu(2)O-ErGO/GCE) was developed for the determination of sunset yellow. The Cu(2)O-ErGO/GCE was fabricated by drop-casting Cu(2)O-GO dispersion on the GCE surface following a potentiostatic reduction of graphene oxide (GO). Scanning electron microscope and X-ray powder diffractometer was used to characterize the morphology and microstructure of the modification materials, such as Cu(2)O nanoparticles and Cu(2)O-ErGO nanocomposites. The electrochemical behavior of sunset yellow on the bare GCE, ErGO/GCE, and Cu(2)O-ErGO/GCE were investigated by cyclic voltammetry and second-derivative linear sweep voltammetry, respectively. The analytical parameters (including pH value, sweep rate, and accumulation parameters) were explored systematically. The results show that the anodic peak currents of Cu(2)O-ErGO /GCE are 25-fold higher than that of the bare GCE, due to the synergistic enhancement effect between Cu(2)O nanoparticles and ErGO sheets. Under the optimum detection conditions, the anodic peak currents are well linear to the concentrations of sunset yellow, ranging from 2.0 x 10(-8) mol/L to 2.0 x 10(-5) mol/L and from 2.0 x 10(-5) mol/L to 1.0 x 10(-4) mol/L with a low limit of detection (S/N = 3, 6.0 x 10(-9) mol/L). Moreover, Cu(2)O-ErGO/GCE was successfully used for the determination of sunset yellow in beverages and food with good recovery. This proposed Cu(2)O-ErGO/GCE has an attractive prospect applications on the determination of sunset yellow in diverse real samples.
摘要：
In this work, we theoretically propose an optical biosensor (consists of a BK7 glass, a metal film, and a graphene sheet) based on photonic spin Hall effect (SHE). We establish a quantitative relationship between the spin-dependent shift in photonic SHE and the refractive index of sensing medium. It is found that, by considering the surface plasmon resonance effect, the refractive index variations owing to the adsorption of biomolecules in sensing medium can effectively change the spin-dependent displacements. Remarkably, using the weak measurement method, this tiny spin-dependent shifts can be detected with a desirable accuracy so that the corresponding biomolecules concentration can be determined.
