Volt-ampere characteristics of a nitrogen DC plasma arc with anode melting

The characteristics of a nitrogen arc using a graphite cathode and a melting anode in a pilot-scale plasma furnace are investigated. The voltage is examined as a function of current and apparent plasma length. The voltage increases non-linearly with the increase of apparent plasma length, with the current fixed. The experimental data so obtained are compared with the predictions of the Bowman model for the electric arc, and with numerical simulations as well. The level of agreement between the experimental data at the melting anode and the numerical predictions confirms the suitability of the proposed the Bowman model. These characteristics are relevant to the engineering design and evaluation of a DC plasma furnace and reactor for the treatment of hazardous fly ash waste.     

Dirac Equation in Space–Time with Torsion

The Dirac equation in a curved space–time endowed with compatible affine connection is reconsidered. After a detailed decomposition of the total action, the equation is obtained by varying with respect to the Dirac spinor and the torsion field. The result is a known Dirac-like equation with constraints that can be interpreted as the equation of a self-interacting spin 1/2 particle in curved space–time. The scheme is then translated into the language of the 2-spinor formalism of curved space–time based on the choice of a null tetrad frame. The spinorial equation so obtained coincides with the standard one in case of no torsion, while in general it remains a nonlinear equation describing a self-interacting spin 1/2 particle. The nonlinearity is produced by the interaction of the particle with its own current that remains conserved as in the free torsion case.     

Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic random conductivity

The effective coefficients in the quasi-steady Maxwell’s equations are calculated for a multiscale isotropic medium by using a subgrid modeling approach. The conductivity is mathematically represented by a Kolmogorov multiplicative continuous cascade with a lognormal probability distribution. The scale of the solution domain is assumed to be large as compared with the scale of heterogeneities of the medium. The theoretical results obtained in the paper are compared with the results of a direct 3D numerical simulation and the results of the conventional perturbation theory.     

Hybrid diffractive-refractive 40° head-mounted display

The design of a head-mounted display with a field of view of 40 degrees and suitable for use with a micro display of 17.5 mm diagonal is presented. It is a combination of a diffractive-refractive eyepiece with an appropriate reflective relay system. The eyepiece design is based on a Kellner eyepiece. By replacing the cemented-doublet of the traditional eyepiece with a diffractive-refractive element (a plano-convex lens with the plane surface as the diffractive surface) an improved eyepiece is obtained. The proposed eyepiece shows a considerable reduction in physical size (which is particularly important for binocular systems) and weight, and exhibits superior performance compared to the traditional refractive type. It is emphasized that the proposed design has a performance that is well matched to a micro display with SXGA resolution.     

一种基于二元位相加密的大信息量数字全息水印

研究了一种基于二元位相加密的大信息量数字全息水印方法,对需隐藏的水印信息用二元位相编码,然后再用2台阶位相密钥进行加密,作为水印插入宿主图像中,解码后得到了高质量的水印结果.与平面波照明数字全息水印相比,采用位相密钥数字全息水印有效地提高了水印提取的安全性和相对光学效率,并保持了对大信息量水印的提取质量,解码过程不依赖于原图像. 计算和分析了二元位相密钥的空间分布对水印信息提取质量的影响,计算结果验证了理论的正确性.     

R22与R410A热泵中冷凝器性能随支路数变化的比较

利用软件EVAP-COND,模拟对比了在室内换热器中分别采用R22与R410A制冷剂时冷凝器的性能随支路数的变化,结果表明:室内换热器作为冷凝器时,R410A的换热量比R22的要大,换热量的差别是由两排管共同造成的,两排管中R410A的换热量都比R22的要大;随支路数的增多,第一排管对冷凝器换热量差值的影响越来越显著,而第二排管的影响逐渐减弱;第一排管换热量的差别主要受传热系数的影响,而第二排管受传热温差和传热系数的综合影响。因此,支路增多时制约R410A和R22冷凝器换热量差别的因素,从传热温差和传热系数共同作用逐渐转变为传热系数起主导作用。     

Structure Formation from the Oriented Glassy States of Poly(Ethylene Terephthalate)

The ordering process of poly(ethylene terephthalate) (PET) from the oriented glassy states during the isothermal annealing process was investigated using real-time X-ray scattering experiments with synchrotron radiation sources. The X-ray scattering intensity of the 001' reflection, which is a measure of the smectic order with respect to chain alignment, increases with time and then begins to decrease after reaching a maximum. The intensity of the four-point pattern in the small-angle X-ray scattering region, which is a measure of the fraction of a crystal-like structure with a tilted lamellar structure, increases monotonically with time. Hence, the fraction of PET chains with smectic-like order has a maximum during the isothermal process, while that of the crystal-like structure increases monotonically. The kinetics of structure formation from the nematic-like structure to the crystal-like structure by way of the smectic structure will be discussed.     

Stark spectra of Rydberg states in atomic cesium in the vicinity of n=18

The Stark structures in a cesium atom around n=18 are numerically calculated. The results show that the components of 20D states with a small azimuthal quantum number |m| shift upward a lot, and those with a large |m| shift downward a little within 1100 V/cm. All components of P states shift downward. Experimental work has been performed in ultracold atomic cesium. Atoms initially in 6P3/2 state are excited to high-n Rydberg states by a polarization light perpendicular to the field, and Stark spectra with |m|=1/2,3/2,5/2 are simultaneously observed with a large linewidth for the first time. The observed spectra are analyzed in detail. The relative transition probability is calculated. The experimental results are in good agreement with our numerical computation.     

Detonation initiation from shock and material interface interactions in hydrogen-air mixtures

A numerical study was conducted to explore the mechanisms of detonation initiation in a stoichiometric hydrogen-air mixture resulting from the interaction between a Mach 2.8 shock and a perturbed material interface. The simulations used a high-order compressible numerical method for fluid dynamics with both detailed and simplified chemical-diffusive models. Three material interfaces were considered: no interface, a perturbed planar flame, and a perturbed helium interface. The case with no interface did not evolve into a detonation. The case with the flame produced a series of additional shock-flame and shock-shock interactions. The shock-shock interactions produced a series of contact surfaces and sliplines with increasing temperature. Hot spots eventually formed along these sliplines and a detonation was initiated shortly thereafter through a reactivity gradient mechanism. The overall process of detonation initiation was similar for both detailed and simplified chemical-diffusive models. Only the fine details, such as the precise time and location of the hot spots, were different. This indicates that simplified chemical-diffusive models are adequate to describe the initiation of detonations in the present configuration. The processes that ignited the detonation were also similar in the case where the flame was replaced with a helium interface. Helium has a similar acoustic impedance to the products and produced similar wave refraction patterns. Thus, the primary effect of the flame is to facilitate the shock-shock interactions that produce hot spots and initiate the detonation. The chemical energy released by the flame has a secondary influence.     

Fabrication of high‐aspect‐ratio Fresnel zone plates by e‐beam lithography and electroplating

The fabrication of gold Fresnel zone plates, by a combination of e‐beam lithography and electrodeposition, with a 30 nm outermost zone width and a 450 nm‐thick structure is described. The e‐beam lithography process was implemented with a careful evaluation of applied dosage, tests of different bake‐out temperatures and durations for the photoresist, and the use of a developer without methylisobutylketone. Electrodeposition with a pulsed current mode and with a specially designed apparatus produced the desired high‐aspect‐ratio nanostructures. The fabricated zone plates were examined by electron microscopy and their performances were assessed using a transmission X‐ray microscope. The results specifically demonstrated an image resolution of 40 nm.     

Determination of the shape of a binary object of a square with a square hole by means of chosen initial phases

The binary object treated is a square with a square hole. We first use a set of initial phases to determine the symmetry of the object. The initial image has the gross shape of a square with a square hole, and preserves symmetry of the object. With another set of initial phases, the initial image has gross shape of a square with a hole. Sayre's equation is applied to refine this gross shape. After iterations, the result shows a square with a distorted square hole. These three squares have approximately same edge lengths. These squares are larger than the object. The holes are smaller than the hole of the object. The initial phases or the gross shapes can be used as starting phases or starting envelopes in other iterative algorithms.     

Three-dimensional treatment of convective flow in the earth's mantle

A three-dimensional finite-element method is used to investigate thermal convection in the earth's mantle. The equations of motion are solved implicitly by means of a fast multigrid technique. The computational mesh for the spherical problem is derived from the regular icosahedron. The calculations described use a mesh with 43,554 nodes and 81,920 elements and were run on a Cray X. The earth's mantly is modeled as a thick spherical shell with isothermal, free-slip boundaries. The infinite Prandtl number problem is formulated in terms of pressure, density, absolute temperature, and velocity and assumes an isotropic Newtonian rheology. Solutions are obtained for Rayleigh numbers up to approximately 10⁶ for a variety of modes of heating. Cases initialized with a temperature distribution with warmer temperatures beneath spreading ridges and cooler temperatures beneath present subduction zones yield whole-mantle convection solutions with surface velocities that correlate well with currently observed plate velocities.     

Power line monitoring system using fiber optic power supply

We propose a novel power-line-monitoring system using optical fibers for transmitting power as well as signal. The principle is experimentally confirmed with a system composed of a monitoring side with a 1.5-μm laser diode, transmission line of a single mode fiber, and a sensing side having an efficient photovoltaic (PV) cell, electrical junction sensor, and low power liquid crystal optical modulator (LCOM). The PV cell generates the electrical power in the sensing side with a conversion efficiency of 20%. The LCOM is driven with low power of less than 50 μW, modulates the laser light with a signal indicating the power line condition, and transmits the optical signal. The developed sensing unit produces an optical signal having an extinction ratio of 15 dB with low optical power of 1.8 mW. Five systems were in operation for two years, faithfully monitoring the oil pressure in electrical cables every 20 min without incident.     

Deposition of coatings on long-period fiber gratings: tunnel effect analogy

The sensitivity of Long-period fiber gratings (LPFGs), coated with high-refractive-index thin film overlays, to the refractive index and the thickness of the overlay, and to the ambient refractive index, can be enhanced with a design based on a two-overlay coating of an LPFG. The first overlay of lower refractive index than the cladding affects the guidance of a cladding mode in the second overlay of higher refractive index than the cladding. This causes a more abrupt cladding modal redistribution than with the deposition of a unique high-refractive-index overlay. The phenomenon is analyzed with a method based on a vectorial analysis of modes and the application of coupled mode theory.     

Dynamics in two-elevator traffic system with real-time information

We study the dynamics of traffic system with two elevators using a elevator choice scenario. The two-elevator traffic system with real-time information is similar to the two-route vehicular traffic system. The dynamics of two-elevator traffic system is described by the two-dimensional nonlinear map. An elevator runs a neck-and-neck race with another elevator. The motion of two elevators displays such a complex behavior as quasi-periodic one. The return map of two-dimensional map shows a piecewise map.     

Ising model with a new class of four-spin interactions

The Ising model on a Union-Jack lattice, described by a Hamiltonian with second-neighbor pair-pair, four-spin, infinite-range interactions is considered. The model is solved exactly and the results are compared with MFA predictions. Within the exact treatment two new classes of phase transitions are obtained. The first one includes transitions from a disordered to a metastable, ordered and then to a stable and ordered phase with decreasing temperature. The metastable phase does not appear if the temperature is increased. The second one contains transitions between ordered and partialy ordered, partialy frustrated phases.     

Improved measurements of thermally induced birefringence effects in a laser material using a half-wave plate

The polarization dependence of a probe beam for use in measuring thermally induced birefringence effects in a laser-diode end-pumped Nd:YAG ceramic laser has been investigated. The variation in intensity of the probe beam was found to be 10.2% for a linearly polarized probe beam, 20.6% for a circularly polarized probe beam, and 31.4% for a circularly polarized probe beam using a half-wave plate with a pump power of 12 W. The angle between the analyzer and the inclination of the major axis of the elliptical polarization with respect to the x axis was controlled using a half-wave plate. By combining a half-wave plate with a circularly polarized probe beam, the variation in intensity increased compared with conventional methods.     

充分发展槽道湍流的小波数值分析

数值计算了高斯子波变换Navier Stokes(N-S)方程后得到的积分方程.在利用高斯子波得到的以弯曲度为基本量的无穷域中N-S方程的基础上,得到了有界区域内的以弯曲度为基本量的N-S方程.将此N-S方程看作一个特殊的扩散方程,将压力项与对流项看作是源项,得到一个积分方程.利用特征线法对该方程求解,得到通解.并将所得结果运用于对称槽道湍流和非对称槽道湍流的研究中.将计算与实验所得的平均量与实验结果进行了对比.     

Dynamics and applications of a microscale liquid surface interacting with an electric field

We analyze the dynamics of a microscale liquid surface interacting with a time-dependent electrostatic field. The analysis is based on Hamilton’s theory, which can deal with electrodynamics as well as mechanics. The analysis predicts that the mass of a liquid interacting with an electrostatic field is reduced as a result of its motion. The mass reduction occurs through the formation of a high-aspect liquid meniscus, which is eventually transformed to a molecular flow of the liquid. The high-aspect liquid meniscus is used to erect a CNT on the glass surface, and the molecular flow is used to initiate a plasma-induced reaction that produces a hydrogen-storing polymer.     

Contact problem with wear for a foundation with a surface nonuniform coating

The plane contact problem with wear for an elastic foundation with a longitudinally nonuniform (surface nonuniform) coating and a rigid punch with a flat foundation has been solved for the first time. The case of linear wear is considered. The nonuniformity of the coating is described by a rapidly changing function. This strong nonuniformity arises when coatings are deposited using modern additive manufacturing technologies. The problem is reduced to the solution of an integral equation with two different integral operators: a compact self-adjoint positively defined operator with respect to the coordinate and the non-selfadjoint integral Volterra operator with respect to time. The solution is obtained in series using author’s projection method. The efficiency of the proposed approach for constructing a high-accuracy approximate solution to the problem (with only a few expansion terms retained) is demonstrated. A simple engineering formula for estimating the contact stresses under a punch for large values of times is proposed.