2D Pauli Equation with Hulthén Potential in the Presence of Aharonov-Bohm Effect

The 2D Pauli equation with Hulthén potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term.Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov-Bohm Coulomb problem.     

Vectorial Pauli algebraic approach in polarization optics. II. Interaction of light with the canonical polarization devices

A theoretical approach to the interaction between polarized light and polarization devices, based on the vectorial and pure operatorial form of the Pauli algebra, is presented. In the first part of the paper we have established the vectorial Pauli-algebraic forms of the operators corresponding to various polarization devices and states of light polarization. In this second part we give the vectorial Pauli-algebraic treatment of the interaction between the canonical polarization devices and the various forms of light polarization. Unlike the standard (Jones and Mueller) approaches, this formalism does not appeal to any matrix representation of the involved operators. This approach establishes a bridge between the Hilbert space of the density operators of the polarization states and the Poincaré space of their geometric representations and gives a rigorous justification of the handling of the interactions between the polarization states and polarization systems on the Poincaré sphere and in the Poincaré ball. In such an approach, unlike the standard ones, the three relevant quantities that characterize the interaction - the gain, the Poincaré vector of the outgoing light and its degree of polarization - result straightforwardly, in block. A generalized form of Malus’ law, for any dichroic device and partially polarized light is also obtained this way.     

二维光子晶体分频特性效率分析

采用FDTD方法分析了二维光子晶体的分频特性，在二维光子晶体内引入线缺陷后形成波导，在波导附近引入点缺陷可将能在波导中传播的某些特定频率的电磁波分离出去；特定频率取决于点缺陷的性质；设计了一种多个相同性质的点缺陷与波导耦合的分频模型，计算结果表明，这种模型的分频效率明显高于单个点缺陷与波导耦合的模型，为制作光子晶体分频器件提供了理论依据。     

Strong Pauli paramagnetic effect in the upper critical field of KCa2Fe4As4F2

Recently, 12442 system of Fe-based superconductors has attracted considerable attention owing to its unique double-Fe As-layer structure. A steep increase in the in-plane upper critical field with cooling has been observed near the superconducting transition temperature, Tc, in KCa2Fe4As4F2 single crystals. Herein, we report a high-field investigation on upper critical field of this material over a wide temperature range, and both out-of-plane(H∥c, Hc2c) and in-plane(H∥ab, Hc2ab ) directions have been measured.A sublinear temperature-dependent behavior is observed for the out-of-plane Hc2c , whereas strong convex curvature with cooling is observed for the in-plane Hc2ab . Such behaviors could not be described by the conventional Werthamer-Helfand-Hohenberg(WHH) model. The data analysis based on the WHH model by considering the spin aspects reveals a large Maki parameter α=9,indicating that the in-plane upper critical field is affected by a very strong Pauli paramagnetic effect.     

Completely Subradiant Multi‐Atom Architectures Through 2D Photonic Crystals

Following recent advances in the manipulation of atoms trapped near 1D waveguides and proposals to use surface acoustic waves on piezoelectric substrates for the same purpose, the potential of two‐dimensional platforms is shown. Directional emission of atoms near photonic crystal slabs with square symmetry is used, in the ideal case, to build perfect subradiant states of 2 distant atoms, possible in 2D only for finite lattices with perfectly reflecting boundaries. These allow the design of massively parallel 1D arrays of atoms above a single crystal, useful for multi‐port output of nonclassical light, by exploiting destructive interference of guided resonance modes. Directionality of the emission is shown to be present whenever a linear iso‐frequency manifold is present in the dispersion relation of the crystal. Multi‐atom radiance properties can be predicted from a simple cross‐talk coefficient of a master equation, in good agreement with exact atom‐crystal dynamics, showing its predictive power. Departing from the ideal theoretical case, possible experimental issues in photonic crystal implementations are also discussed, and an outlook of other relevant modern platforms for 2D propagation of excitations is given.     

All-Angle Self-Collimation-Based Invisibility Cloaking in 2D Square Lattice Photonic Crystals

Here, a two-dimensional (2D) hole-type square lattice photonic crystal is shown to achieve invisibility cloaking based on all-angle self-collimation. The proposed structure, which is composed of the high-refraction-index dielectric material PbTe (n_PbTe ≈ 6), is applicable in the mid-infrared (mid-IR) frequency range. The cloaking region is capable of hiding any object of any shape and size since the incoming wave does not interact with the cloaked object. The optimization process and the functionality of the proposed structure are investigated by equal frequency contour analysis and the finite difference time domain (FDTD) method.     

Amplification of Solar Energy Conversion in Quantum‐Confined CdSe‐Sensitized TiO2 Photonic Crystals by Trapping Light

Photonic effects amplifying solar energy conversion are reported in titania inverse opals sensitized with quantum‐confined CdSe films. TiO₂ inverse opals (i‐TiO₂‐o) and unstructured nanocrystalline TiO₂ (nc‐TiO₂) films are sensitized with CdSe deposited via successive ionic layer adsorption and reaction (SILAR) by generating Se^2? in situ under inert atmosphere, and the film absorbance is tuned by the number of SILAR cycles. Photonic effects are investigated while varying the i‐TiO₂‐o stop band position relative to CdSe films’ absorbance. i‐TiO₂‐o films with stop band at 700 and 560 nm are sensitized with CdSe having absorption edges at 600 and 650 nm thus tuning absorbance to the red and the blue of the stop band. Significant amplification in photon‐to‐current conversion efficiency is measured when CdSe films prepared via two cycles are adsorbed on i‐TiO₂‐o with a stop band at 700 nm, with a maximum average enhancement factor equal to 6.7 ± 1.6 at 640 nm, 60 nm to the blue of the stop band center, relative to nc‐TiO₂ sensitized with comparable CdSe amounts. The gain is observed over a wide frequency range to the blue of the stop band and is greatest when film absorbance was low. The photocurrent gain is not a result of differences in the rates of charge separation or charge transport, and occurs in the same frequency range where absorbance amplification is measured to the blue of the 700‐i‐TiO₂‐o stop band, and is thus attributed to slow light effects enhancing absorbance in the photonic crystal environment.     

多孔硅制备的二维光子晶体生长过程监控

采用单槽电化学腐蚀法在预置有倒金字塔结构的n型单晶硅上制备用于二维光子晶体的多孔硅。利用基于LabVIEW的虚拟仪器技术对实验仪器编程,搭建实时测控系统,实现对反应过程中所需电源的控制,并且实时显示采集到的随时间变化的电压和电流信号,将采集的数据存储在计算机里。实验表明,恒电流供电模式下致使电压剧烈变动,导致多孔硅侧向...     

二维三角柱光子晶体的传输特性

利用时域有限差分方法对二维三角介质柱光子晶体的传输特性进行了研究,计算了不同晶格、同一晶格柱体截面面积不同、放置方位角不同、入射波入射方向不同时光子晶体的传输特性。结果表明:光子禁带的宽度与中心频率和晶格结构有很大关系,三角晶格更易形成平坦光子禁带,柱体截面面积大,则形成的禁带较宽,在其他因素相同的条件下柱体放置的方位角在一定范围内对光子禁带有重要影响;对不同入射方向时光子晶体的传输特性的研究结果表明,在低频范围内,入射角对禁带宽度和中心频率没有任何影响,在高频段,透射率随入射角变大而降低。研究结果为实验上制作三角柱光子晶体器件提供了重要的理论依据。     

二维光子晶体提高C波段LED出光效率的研究

片上集成光源是未来光电子系统中光源发展的主要趋势,LED光源作为片上集成光源的主要缺点是其出光效率低,二维光子晶体是提高LED出光效率的有效手段。本工作设计了C波段LED的基本结构及参数,并采用时域有限差分法计算了不同阵列不同占空比的二维光子晶体能带结构,利用禁带理论选取提高C波段LED出光效率的最优二维光子晶体结构参数,结果表明三角排列空气孔二维光子晶体晶格常数a=500 nm且占空比R_p=0.44的光子晶体结构最优。     

Interaction of Love waves with coupled cavity modes in a 2D holey phononic crystal

The interaction of Love waves with square array of pillars deposited on a cavity defined in a 2D holey phononic crystal is numerically investigated using Finite Element Method. First, the existence of SH surface modes is demonstrated separately for phononic crystals that consist of square arrayed holes, or rectangular arrayed Ni pillars, respectively in, or on, a SiO₂ film deposited on a ST-cut quartz substrate. The coupling between SH modes and torsional mode in pillars induces a transmission dip that occurs at a frequency located in the range of the band-gap of the holey phononic crystal. Second, a cavity is constructed by removing lines of holes in the holey phononic crystal and results in a transmission peak that matches the dip. The optimal geometrical parameters enable us to create a coupling of the cavity mode and the localized pillar mode by introducing lines of pillars into the cavity, which significantly improved the efficiency of the cavity without increasing the crystal size. The obtained results will pave the way to implement advanced designs of high-performance electroacoustic sensors based on coupling modes in phononic crystals.     

Prospects and Opportunities of 2D van der Waals Magnetic Systems

The existence of spontaneous magnetization in low dimensional magnetic systems has attracted intensive studies since the early 60s and research remains very active even now. Only recently, magnetic van der Waals (vdW) systems down to a few layers have been broadly discussed for their magnetic order ground states at finite temperature. The naturally inherited layered structure of the vdW magnetic systems possessing onsite magnetic anisotropy from band electrons can suppress the long-range fluctuations. This provides an excellent vehicle to study the transition of magnetism to 2D limits both theoretically and experimentally. Here the current status of 2D vdW magnetic system and its potential applications are briefly summarized and discussed.     

Feature of Energy Spectra of Four-Identical-Particle Systems in 2D Space

A comparison has been made between features of low-lying states of a four-electron dot and a 2-dimensional four-alpha-particle system. A series of qualitative features are revealed to be identical. We stress the importance of quantum mechanical symmetries in the understanding of quantum mechanical few-body systems.     

Grain boundary premelting of monolayer ices in 2D nano-channels

ABSTRACT

We employ molecular-dynamics (MD) simulations to study grain boundary (GB) premelting in ices confined in two-dimensional hydrophobic nano-channels. Premelting transitions are observed in symmetric tilt GBs in monolayer ices and involve the formation of a premelting band of liquid phase water with a width that grows logarithmically as the melting temperature is approached from below, consistent with the existing theory of GB premelting. The premelted GB is found rough for a broad range of temperature below the melting temperature, the two ice-premelt interfaces bounding the melted GB are engaged with long wave-length parallel coupled fluctuations. Based on current MD simulation study, one may expect GB premelting transitions exist over a wide range of low dimensional phases of confined ice and shows important consequences for crystal growth of low dimensional ices.     

二维光子晶体中与电磁波偏振态无关的自准直

利用有限时域差分法(FDTD)进行数值模拟，在二维光子晶体中实现了电磁波两种偏振态的自准直——全光自准直(full-light-self-collimation).研究表明，通过对光子晶体的结构做适当的调整，可以在较宽频率范围内实现横电波(TE波)和横磁波(TM波)沿着相同方向传播，同时保持较强的能流强度.全光自准直可以显著提高光源利用率和光波导的传播效率，在高密度集成光路中有非常重要的用途. 关键词： 光子晶体 偏振 自准直     

Adaptive Control and Function Projective Synchronization in 2D Discrete-Time Chaotic Systems

This study addresses the adaptive control and function projective synchronization problems between 2D Rulkov discrete-time system and Network discrete-time system. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate the function projective synchronization of discretetime chaotic systems. In addition, the adaptive control function is applied to achieve the state synchronization of two discrete-time systems. Numerical results demonstrate the effectiveness of the proposed control scheme.     

Dynamic registration of D2 16O absorption spectrum in silica aerogel

Absorption spectra of the gas phase and adsorbed D₂О in the silica aerogel with nanoscale pores were investigated in 3700–5400 cm^?1 range using dynamic registration with Fourier Transform spectrometer IFS-125M. Two types of sample with pores of 60 nm wide – the nitrogen gas-treated and untreated aerogels – were examined. The surface treatment of the sample changes noticeably the broadband absorption of adsorbed water. Spectrum of D₂O in the pores differs from the spectrum of bulk water as for bandwidth so for band maximum. It was found that treatment of the pores by dry nitrogen leads to increasing hydrophilic properties of the material and to change water band contour. The D₂О line widths in both the aerogels exceed those of free monomer in 1.1–3 times at the same pressure. Calculations of self-broadening coefficients of the D₂O lines were performed using semi-empirical method based on the impact theory of broadening and includes the correction factors. The calculated results well agree with experimental data. Greater differences were found for the shift of the line centre. The D₂O line shifts in the treated pores significantly exceed line shifts in the untreated pores. For some lines, these shifts have the opposite sign indicating complex nature of the molecule–wall interaction.     

Special control of the cutoff frequencies in a 2D photonic crystal coupled-cavity waveguide

We show theoretically that the upper and lower cutoff frequencies of the guided band in a 2D photonic crystal coupled-cavity waveguide can be controlled independently or synchronously by changing two configuration parameters of the waveguide simultaneously. The independent control range for the lower and upper cutoff frequencies can be as large as 68.6% and 67.9% of photonic band gap, respectively. The two cutoff frequencies can also be tuned in the same direction over equal distances up to 25.7% of photonic band gap. These results offer an efficient way for designing the various dispersion relations for photonic crystal waveguides.     

用于短波段发光二极管的二维光子晶体禁带研究

运用平面波展开法(PWE),针对光子晶体在短波长段发光二极管(LED)领域上的应用,主要选择高频禁带模式,研究了4种具有较大应用潜力的二维光子晶体结构,包括正方空气柱结构、三角空气柱结构、正方介质柱结构和三角介质柱结构。在不同晶格常数、占空比(AFF)、柱半径和晶格常数比下,分析了TE模式和TM模式光子禁带的变化。数据分析表明,光子禁带中心波长随AFF增加而变小。相比于其他结构,正方介质柱结构更适于短波段光子晶体LED来提高其出光效率,三角介质柱结构和三角空气柱结构适合用于构造短波段偏振光LED。