基于耦合T型空腔的多重法诺共振现象

提出由T型空腔和挡板组成的两种金属-电介质-金属(MIM)波导结构,分别为:正T型空腔结构和倒T型空腔结构,并应用有限元法系统地研究了该结构的透射特性.对于正T型空腔结构,仿真结果出现了双重法诺共振现象,并且共振波长可以通过改变T型空腔长度和高度进行调节.该结构有助于设计成敏感度达到1 620nm/RIU、品质因数为5.4×10~4的纳米传感器.对于倒置T型空腔,在波导中产生了多重法诺共振现象,其敏感度可达1 560nm/RIU,品质因数为9.37×104.该结构有望在光学集成回路,特别是纳米传感器、光束分路器方面具有广泛应用.     

Effect of magnetic field on electron spectrum and probabilities of intraband quantum transitions in spherical quantum-dot-quantum-well

The effect of magnetic field on electron energy spectrum, wave functions and probabilities of intraband quantum transitions in multilayered spherical quantum-dot-quantum-well (QDQW) CdSe/ZnS/CdSe/ZnS is studied. Computations are performed in the framework of the effective mass approximation and rectangular potential barriers model. The wave functions are expanded over the complete basis of functions obtained as exact solutions of the Schrodinger equation for the electron in QDQW without the magnetic field.It is shown that magnetic field takes off the spectrum degeneration with respect to the magnetic quantum number and changes the localization of electron in the nanostructure. The field stronger effects on the spherically-symmetric states, especially in the case of electron location in the outer potential well. The magnetic field changes more the radial distribution of probability of electron location in QDQW than the angular one. The oscillator strengths of intraband quantum transitions are calculated as functions of the magnetic field induction and their selection rules are established.     

KClO_4/Zr在石英管内的燃烧发射光谱与燃烧产物分析

为了研究燃烧条件对KClO_4/Zr烟火剂燃烧过程中光辐射性能的影响,考察了KClO_4/Zr在开放环境和不同规格封闭石英管内的燃烧发射光谱和燃烧产物。借助光纤光谱仪、光电二极管和示波器测试了烟火剂燃烧过程中的光辐射能量分布和闪光时间-强度曲线,分析了所得发射光谱在(590±10),(750±10)和(808±10)nm三个主吸收波段内的光谱效率,借助SEM表征了不同燃烧条件下KClO_4/Zr燃烧产物的形貌。结果表明:在开放条件下燃烧时,KClO_4/Zr的燃烧发射光谱在可见光到近红外的宽波段内,最强辐射出现在730~820nm波段。在石英管内封闭燃烧时,随着石英管体积的减少,在石英管外检测到的燃烧发射光谱强度逐渐减弱,光谱能量分布也呈现不同的变化规律,而且对火焰发射光谱分布进行处理后,随着石英管体积的变化,得到(590±10),(750±10)和(808±10)nm波段的光谱效率也呈现不同的变化规律。但是,随着石英管体积的减少,KClO_4/Zr烟火剂的爆燃闪光辐射时间逐渐缩短,峰值辐射强度逐渐提高。增加石英管的直径,有利于在管外获得更高的有效光辐射能量,减少石英管的直径,则有利于提高烟火剂的峰值辐射强度。随着管直径的增大,KClO_4燃烧更加充分,产物粒径较小,呈规则的球状。而管长度的改变对反应并无太大影响。     

Some properties of composition operators on Hilbert spaces of Dirichlet series

In this paper, we study some properties of composition operators on Hilbert spaces of Dirichlet series, which include the Fredholmness, Hilbert-Schmidtness, spectra, cyclic and hypercyclic phenomenons, and also answer a norm question raised by Cowen and MacCluer.     

Survivable routing and spectrum allocation algorithm based on p-cycle protection in elastic optical networks

With the number of large capacity applications in core network increasing, the bandwidth requirement of optical connections in conventional Wavelength Division Multiplexing (WDM) networks keeps enhancing, so that the Orthogonal Frequency Division Multiplexing (OFDM) technology is adopted to provide higher spectrum efficiency and flexibility in the future elastic optical networks. Meanwhile, survivability in the conventional WDM optical networks has been widely studied as an important issue to ensure the service continuity. However, survivability in OFDM-based elastic optical networks is more challenging than that in conventional WDM optical networks because each fiber usually carries even more connections. Therefore, it is necessary to study the new lightpath protection algorithm in elastic optical networks. Since p-cycle protection scheme has short restoration time and simple protection switching procedure, in this paper, we study the static Survivable p-Cycle Routing and Spectrum Allocation (SC-RSA) problem with providing an Integer Linear Programming (ILP) formulation. Since RSA is a NP-hard problem, we propose a new heuristic algorithm called Elastic p-Cycle Protection (ECP) to tolerate the single-fiber link failure. For each demand, ECP scheme can compute highly-efficient p-cycles to provide protection for all of the on-cycle links and the straddling links. We also consider the load balancing and choose the proper working path for each demand. Simulation results show that the proposed ECP scheme achieves better performances than traditional single-line-rate survivable schemes.     

Cole-Cole方程参数对细胞介电频谱的影响

为探讨Cole-Cole方程8个参数(Δε1,Δε2,εh,κl,f1,f2,β1,β2)对细胞介电频谱的影响,采用改变单个参数,固定其他参数的方法,观察介电频谱的变化.结果显示:Δε1影响低频介电频谱和Cole-Cole(ε′)图;Δε2影响高频介电频谱、Cole-Cole(ε′)图和Cole-Cole(κ′)图;εh影响ε′(f)、Cole-Cole(ε′)图和tgδ(f);κl对κ′(f)和Cole-Cole(κ′)图有影响;f1影响低频介电频谱;f2影响高频介电频谱;β1影响Cole-Cole(ε′)和tgδ(f);β2对高频介电频谱有影响.可见Cole-Cole方程作为细胞介电频谱的数学模型,其参数变化有规律可循.     

基于模式跳变的井下便携式高精度CH_4浓度监测系统设计

为了在矿井中实现快速、便携式的甲烷浓度检测,同时系统还具备高灵敏度及长的工作周期,设计了基于半导体激光器模式跳变的差分光学光谱吸收法,建立了井下甲烷浓度无线检测系统。系统利用调制电流使半导体激光器的输出波长发生模式跳变,从而获得了两个相近波长的激光,其中一个在甲烷的特征吸收峰上,而另一个基本不被吸收。实验中将两束光分别照射被测气室时,两束光的光强之差代入比尔朗伯定律即可求解气室内的甲烷浓度。实验结果显示,调制电流从20.0 mA增大到60.0 mA过程中,输出波长在电流达到48.3 mA时发生跳变,由1 650.888 nm改变为1 651.020 m。通过HITRAN光谱数据库可知,波长1 650.888 nm位置可作特征吸收峰,而波长1 651.020 nm适合作参考波长。在此基础上,对密闭容器内标准浓度的甲烷气体进行测试,采用H-BD5GD410-HC型便携式甲烷检测仪的测试数据作对比。两种检测结果相近,但随着浓度不断地增高,该系统的检测误差相对平稳,略优于甲烷检测仪。系统的检测误差均低于0.050%,在不采用昂贵的锁相器、检相电路的条件下,实现了精度优于0.10%的井下甲烷浓度检测。     

Fractional powers of the noncommutative Fourier's law by the S‐spectrum approach

Let e_?, for ? = 1,2,3, be orthogonal unit vectors in and let be a bounded open set with smooth boundary ?Ω. Denoting by a point in Ω, the heat equation, for nonhomogeneous materials, is obtained replacing the Fourier law, given by the following: into the conservation of energy law, here a, b, are given functions. With the S‐spectrum approach to fractional diffusion processes we determine, in a suitable way, the fractional powers of T. Then, roughly speaking, we replace the fractional powers of T into the conservation of energy law to obtain the fractional evolution equation. This method is important for nonhomogeneous materials where the Fourier law is not simply the negative gradient. In this paper, we determine under which conditions on the coefficients a, b, the fractional powers of T exist in the sense of the S‐spectrum approach. More in general, this theory allows to compute the fractional powers of vector operators that arise in different fields of science and technology. This paper is devoted to researchers working in fractional diffusion and fractional evolution problems, partial differential equations, and noncommutative operator theory.     

基于荧光光谱技术的菜籽油氧化状态智能评价

菜籽油在加工及贮藏过程中，易受氧气、温度、光照等因素的影响，产生氧化酸败现象。为准确判断油脂氧化程度，实现不同氧化模式下菜籽油品质的快速判别，采用三维同步荧光光谱技术结合平行因子分析法及BP神经网络法建立菜籽油氧化状态的智能评价模型。以冷榨菜籽油为原料，将样品分别置于常温、Schaal烘箱、高温模式中氧化处理，期间采集菜籽油的三维同步荧光光谱数据及理化指标，当理化指标超出国标限定范围时，停止采集数据。结果表明，菜籽油中荧光物质在不同氧化模式中的演变规律呈显著差异，氧化温度对菜籽油荧光光谱有明显影响。常温氧化350 d与第1 d相比，菜籽油的特征荧光峰位置无变化，仅在激发波长Ex为620和660 nm附近荧光峰强度发生微弱变化；Schaal烘箱氧化26 d后，在激发波长Ex为620和660 nm附近荧光峰强度显著减弱，且在激发波长Ex为350～450 nm之间有新的荧光峰生成；高温氧化48 h后，Ex为620和660 nm处荧光峰消失，在Ex为400～550 nm处产生显著荧光峰，相对Schaal烘箱氧化，荧光波长发生一定程度红移，这是由于高温氧化过程中油脂氧化生成的物质稳定性较差引起的。利用平行因子分析法对三维同步荧光光谱数据进行分解获取有效的二维荧光光谱数据，当组分数为6，Δλ=60 nm时激发波长的载荷值最大，不同样品间差异最显著。选定Δλ=60 nm波段的二维荧光光谱数据用于智能评价，作为BP神经网络模型的输入值，以极性组分作为模型输出值，分别对菜籽油三种氧化模式数据建模训练。实验结果表明，三种氧化模式对应的训练集、验证集、测试集模型相关系数r均能达到0.9以上，其中常温氧化模式中验证集及测试集模型的相关系数r为1，输出值与目标值较接近，模型的预测效果较好；综合三种氧化模式数据建模，对应训练集、验证集、测试集模型的相关系数分别为0.999，0.913和0.988，均方误差均较小，说明该模型能准确判断菜籽油的不同氧化状态。因此，三维同步荧光光谱技术结合平行因子分析法、BP神经网络法建立快速检测模型能实现菜籽油不同氧化状态的判别，为菜籽油的氧化程度的评价提供新方法，同时为其他食用油的品质评价提供参考。     

A new arithmetic criterion for graphs being determined by their generalized Q-spectrum

“Which graphs are determined by their spectrum (DS for short)?” is a fundamental question in spectral graph theory. It is generally very hard to show a given graph to be DS and few results about DS graphs are known in literature. In this paper, we consider the above problem in the context of the generalized $Q$-spectrum. A graph $G$ is said to be determined by the generalized $Q$-spectrum (DGQS for short) if, for any graph $H$, $H$ and $G$ have the same $Q$-spectrum and so do their complements imply that $H$ is isomorphic to $G$. We give a simple arithmetic condition for a graph being DGQS. More precisely, let $G$ be a graph with adjacency matrix $A$ and degree diagonal matrix $D$. Let $Q=A+D$ be the signless Laplacian matrix of $G$, and $W_Q\left(G\right)=[e,Qe,\dots ,Q^{n-1}e]$ ($e$ is the all-ones vector) be the $Q$-walk matrix. We show that if $\frac{det{W}_Q\left(G\right)}{2^{\lfloor \frac{3n-2}{2}\rfloor }}$ (which is always an integer) is odd and square-free, then $G$ is DGQS.