Porosity of free boundaries in the obstacle problem for quasilinear elliptic equations

In this paper, we establish growth rate of solutions near free boundaries in the identical zero obstacle problem for quasilinear elliptic equations. As a result, we obtain porosity of free boundaries, which is naturally an extension of the previous works by Karp et al. (J. Diff. Equ. 164 (2000) 110–117) for p-Laplacian equations, and by Zheng and Zhang (J. Shaanxi Normal Univ. 40(2) (2012) 11–13, 18) for p-Laplacian type equations.     

Surface modification and characterization of indium-tin oxide for organic light-emitting devices

In this work, we used different treatment methods (ultrasonic degreasing, hydrochloric acid treatment, and oxygen plasma) to modify the surfaces of indium-tin oxide (ITO) substrates for organic light-emitting devices. The surface properties of treated ITO substrates were studied by atomic force microscopy (AFM), X-ray photoelectron spectroscopy (XPS), sheet resistance, contact angle, and surface energy measurements. Experimental results show that the ITO surface properties are closely related to the treatment methods, and the oxygen plasma is more efficient than the other treatments since it brings about smoother surfaces, lower sheet resistance, higher work function, and higher surface energy and polarity of the ITO substrate. Moreover, polymer light-emitting electrochemical cells (PLECs) with differently treated ITO substrates as device electrodes were fabricated and characterized. It is found that surface treatments of ITO substrates have a certain degree of influence upon the injection current, brightness, and efficiency, but hardly upon the turn-on voltages of current injection and light emission, which are in agreement with the measured optical energy gap of the electroluminescent polymer. The oxygen plasma treatment on the ITO substrate yields the best performance of PLECs, due to the improvement of interface formation and electrical contact of the ITO substrate with the polymer blend in the PLECs.     

Hybrid Mach-Zehnder interferometer and knot resonator based on silica microfibers

We propose and demonstrate an all-fiber high Q Mach-Zehnder interferometer (MZI)-coupled microknot resonator (MZKR) structure using optical microfibers drawn from silica fibers. The experimental results show that this microfiber-based structure achieved a high Q factor of ∼ 15,000 and good interference fringes with extinction ratio of up to ∼ 15 dB. By optimizing the loop-length of the microfiber knot and the optical path-difference of the MZI, the desired MZKR with higher Q factor and better extinction ratio could be obtained. A series of integrated all-fiber optical devices could be realized based on such a MZKR structure due to its outstanding advantages of easy fabrication, great flexibility, low cost, low loss, etc.     

Fractional vortex lens

The properties of a fractional vortex lens are discussed and its focal plane intensity distribution is investigated. The azimuthal phase pattern of a fractional topological charge vortex and the quadratic phase variation of the lens are displayed on a spatial light modulator (SLM) that is used in the phase mode. The intensity distribution possesses a low intensity radial opening in contrast to the doughnut pattern formed by a vortex beam with integer charge. The presence of multiple singularities in the radial opening of the doughnut structure is detected interferometrically.     

An accurate analysis for two-mode interferometer based Mach-Zehnder interferometers interleaver

By using a more accurate analysis, we investigate the effect of the mode coupling and radiation loss of a two-mode interferometer (TMI) which is employed in the design of Mach-Zehnder interferometer interleaver by considering different branching angles and index contrasts. Based on our study, we find that the transmission characteristics of a TMI in the interleaver design cannot always be treated as a simple zero gap directional coupler (DC), called pure model. Under certain conditions, its characteristics should be treated as a zero gap DC combined with two variable gap DCs, and correspondently called integrated model. The conditions under which a TMI is treated as pure model or integrated model are defined in terms of branching angle and index contrast. Our findings are confirmed with the experimental results.     

Optical peculiarities in quasi-sandwiching periodic one-dimensional photonic crystals

Within the Maxwell framework and using the transfer-matrix method, we have determined an exact expression that governs the photonic band structure and the density of states (the group velocity) of one-dimensional superlattices composed of three alternate layers (quasi-sandwiching periodic structure) characterized by three different refractive indexes. We begin by giving the band gap of the quasi-sandwiching period structure. Owing to the advantage of the quasi-sandwiching periodic structure, we develop a specific formula that gives the N-period mode density in terms of the complex transmission coefficient of a unit cell. The specific example of a quarter-wave stack is analyzed.     

Beaming of light through depth-tuned plasmonic nanostructures

A nanostructure comprising dielectric/Ag interface with central slit surrounded by grooves is presented for beam focusing and collimating. Desired phase retardations of the beam emerging through slits are manipulated by tuning the depth of grooves. Numerical simulations are performed through a finite-difference time-domain (FDTD) algorithm. Results reveal the suitability of parabolic depth-tuned structure for enhanced transmission and beam collimation. Enhanced transmission and beam collimation are the result of transportation of electromagnetic energy in the form of surface plasmon polariton (SPP) waves.     

与P矩阵和LCP有关的量(英文)

发展了与P矩阵有关的基本量的一些新性质,并且改进了由Xiu和Zhang[A characteristic quantity ofP-matrices,Appl.Math.Lett.,2002,15:41-46]提出的水平线性余问题全局误差上限.     

Theoretical and experimental study of transient response of the Yb-doped fiber amplifier

Some analysis of the transient response of the Yb-doped fiber amplifier are performed by solving a set of time-dependent rate and power transfer equations based on finite-difference method.Meanwhile,the variation of time to reach the steady state for upper level population distribution,the forward and backward amplified spontaneous emissions(ASEs)and stored energy on the system parameters including pump power,fiber length,Yb-doped concentration,and core area are numerically simulated,respectively.The results show that,by optimizing pump pulse width,stored energy can reach or even exceed the steady state value of continuous wave(CW)pump.By increasing Yb-doped concentration and core area,stored energy is increased,the ASE is suppressed and the ASE built-up time is postponed.In addition,the experimental results show the validity of the theoretical ASE built-up time.The obtained results can provide important guiding for the optimization of pump pulse width and fiber parameters.     

氧化钒-碳纳米管复合薄膜的制备及特性

提出了一种制备氧化钒热敏电阻薄膜的新方法。采用紫外光和过氧化氢相结合的方法,对多壁碳纳米管进行功能化处理,然后通过溶胶-凝胶法,使功能化碳纳米管与V2O5相复合,制备氧化钒-碳纳米管复合薄膜。与单纯的氧化钒薄膜相比,氧化钒-碳纳米管复合膜的薄膜方阻和光学带隙发生减小,而电阻温度系数(TCR)和光吸收率相应增大。复合膜还具有更高的载流子迁移速率,更加适合应用到红外探测器当中。