Triplet State Studies of Organic Chelating Agents I. Zero-Field Splittings as a Measure of Geometrical Changes

Zero-field splittings have been measured for the triplet states of o-phenanthroline and 2,2′-bipyrldyl in the free and zinc-complexed states. Comparison with hydrocarbon models Indicates that 2,2′-bipyridyl undergoes a significant change in geometry upon complexation. Observations of the δAm=2 transition of 2,2′-biqulnoline indicate that it also undergoes a similar geometrical change.     

Passively controlled supersonic cavity flow using a spanwise cylinder

An experimental investigation of a passively controlled open cavity with a length to depth ratio of six and freestream Mach number of 1.4 was conducted to investigate the mechanisms responsible for the observed surface pressure reductions. The passive control comes from placing a spanwise aligned cylinder in the boundary layer near the leading edge of the cavity. The two control configurations were isolated from previous experiments of the fluctuating surface pressure and correspond to a larger diameter rod near the top of the boundary layer and a smaller diameter rod placed near the wall. These were further analyzed using particle image velocimetry in an attempt to elicit the responsible mechanism for the flow control. The use of two-point statistics revealed the wall normal turbulent velocity correlation’s evolution became elongated in the wall normal direction. This suggests that the shear layer may be less-organized and consists of smaller-scale structures. The disturbance of the feedback receptivity loop is clearly demonstrated for the controlled configurations evidenced by weakened correlation signals between the aft wall sensor and positions on the cavity floor. The presence of the rod is shown to decrease the mean shear gradient, more effectively for the large rod placed at the top of the boundary layer, throughout the shear layer. The efficacy of the control leads to an initially thicker shear layer which spreads more rapidly and is clearly demonstrated by vorticity growth rates, mean, and turbulent flowfield statistics.     

Feynman-Kac Particle Integration with Geometric Interacting Jumps

This article is concerned with the design and analysis of discrete time Feynman-Kac particle integration models with geometric interacting jump processes. We analyze two general types of model, corresponding to whether the reference process is in continuous or discrete time. For the former, we consider discrete generation particle models defined by arbitrarily fine time mesh approximations of the Feynman-Kac models with continuous time path integrals. For the latter, we assume that the discrete process is observed at integer times and we design new approximation models with geometric interacting jumps in terms of a sequence of intermediate time steps between the integers. In both situations, we provide nonasymptotic bias and variance theorems w.r.t. the time step and the size of the system, yielding what appear to be the first results of this type for this class of Feynman-Kac particle integration models. We also discuss uniform convergence estimates w.r.t. the time horizon. Our approach is based on an original semigroup analysis with first order decompositions of the fluctuation errors.     

Some results for the primitive equations with physical boundary conditions

In this paper, we consider the (simplified) 3-dimensional primitive equations with physical boundary conditions. We show that the equations with constant forcing have a bounded absorbing ball in the H ¹-norm and that a solution to the unforced equations has its H ¹-norm decay to 0. From this, we argue that there exists an invariant measure (on H ¹) for the equations under random kick-forcing.     

Risks of Using Improper Priors with Gibbs Sampling and Autocorrelated Errors

Abstract

In this article we examine the use of Gibbs sampling to estimate the autocorrelation coefficient in a linear regression model. Researchers had previously experienced difficulty with moderate-to-high positive autocorrelated errors; estimates could be unstable and sometimes failed to converge. We show that the cause of this problem is that the use of an improper prior leads to an improper posterior, although the conditionals are proper, and hence a formal Gibbs sampler can be constructed. The problem is solved by the use of a vague but proper prior. In this simple case many of the calculations can be done analytically and it serves as a warning as to the uncritical use of improper priors with Gibbs sampling.     

Q-switched thulium-doped photonic crystal fiber laser

We report a novel, Tm-doped photonic crystal fiber (PCF) actively Q-switched oscillator that provides ~8.9 kW peak power with 435 μJ, 49 ns pulses at 10 kHz repetition rate at 2 μm wavelength. This fiber has a mode-field area >1000 μm2, the largest of any flexible PCF providing diffraction-limited beam quality to the best of our knowledge. As an application, the oscillator is used as pump to generate >350 nm broadening in ~50 m of SMF-28 fiber.     

Modeling of metamagnetism in metallic-based materials with first-order transitions

During the past decade, the magnetic properties of metallic-based materials with first-order transitions have been extensively studied, motivated in part by the observation of large magnetocaloric effect (MCE) peaks displayed by these materials near room temperature. These large peaks are believed to be the result of the materials' magnetic properties at the metamagnetic region, characterized by (i) the thermal-induced transition from the ferromagnetic state (FM) to the paramagnetic state (PM) near the Curie temperature (T_C) and (ii) the field-induced transition from PM state to FM state above T_C. We developed a phenomenological model that utilizes the materials' mixed-state probability function to model the materials' complex hysteretic and properties at metamagnetic region. The approximate probability functions are obtained from the first and second derivatives of the magnetization curve. The probability functions are used to separate the materials' magnetization into a FM state component and a PM state component. The applicability of the model is demonstrated for a metallic-based metamagnetic material, Gd₅Si₂Ge₂ compound, where the modeled behaviors show remarkable agreement with the experimental data at the metamagnetic region and provide new physical insights in this mixed-state region. Specifically, in the region of metamagnetic transition, the PM state component is non-reversible and is a function of the FM state component.     

Mg5SnB2O10:Eu3+,Bi3+—一种用于发光二极管的红色荧光粉的制备及其发光性能的研究

采用高温固相法成功合成了单一相的Eu³⁺,Bi³⁺共掺的Mg₅SnB₂O₁₀红色荧光粉,并通过X射线衍射、漫反射光谱、光致发光光谱等手段对该体系的结构及其发光特性进行了测试和研究.激发光谱表明,该荧光粉在393 nm呈现Eu³⁺的⁷Fo—⁵L₆特征激发,可以与用于发光二极管的近紫外芯片很好地匹配.在393 nm激发下,其发射光谱在591,612,701 nm处呈现Eu³⁺的⁵Do—⁷F₁,⁵Do—⁷F₂,⁵D₀—⁷F₄的特征发射.并且当固定Eu³⁺的浓度时,随着Bi³⁺含量的增加,发现Bi³⁺,Eu³⁺在这一体系中存在能量传递现象,系列样品发光强度大幅度提高.通过研究系列样品在不同Bi³⁺,Eu³⁺掺杂浓度下的发光性能,得出最佳样品为Mg_4.89Eu_0.1Bi_0.01SnB₂O₁₀,其积分强度达到了商用Y₂O₂S:Eu³⁺的1.1倍.     

The truncated moment problem via homogenization and flat extensions

This paper studies how to solve the truncated moment problem (TMP) via homogenization and flat extensions of moment matrices. We first transform TMP to a homogeneous TMP (HTMP), and then use semidefinite programming (SDP) techniques to solve HTMP. Our main results are: (1) a truncated moment sequence (tms) is the limit of a sequence of tms admitting measures on ${\mathbb{R}}^n$ if and only if its homogenized tms (htms) admits a measure supported on the unit sphere in ${\mathbb{R}}^{n+1}$; (2) an htms admits a measure if and only if the optimal values of a sequence of SDP problems are nonnegative; (3) under some conditions that are almost necessary and sufficient, by solving these SDP problems, a representing measure for an htms can be explicitly constructed if one exists.     

All-optical RZ-OOK to RZ-BPSK conversion with multicasting based on XPM in highly nonlinear fiber

We present a detailed investigation of all-optical RZ-OOK to RZ-BPSK modulation format conversion at 10 Gb/s using cross-phase modulation in a length of highly nonlinear fiber. In particular, we examine the impact of the input RZ-OOK signal characteristics, such as duty cycle, average (peak) power, optical signal to noise ratio, and degradation from residual dispersion and differential group delay on the BER performance of the converted RZ-BPSK signal. We also present results on RZ-OOK to RZ-BPSK modulation format conversion with wavelength multicasting.