Spectral Representation Theory for Dielectric Behavior of Nonspherical Cell Suspensions

Recent experiments revealed that the dielectric dispersion spectrum of fission yeast cells in a suspension was mainly composed of two sub-dispersions. The low-frequency sub-dispersion depended on the cell length, while the high-frequency one was independent of it. The cell shape effect was simulated by an ellipsoidal cell model but the comparison between theory and experiment was far from being satisfactory. Prompted by the discrepancy, we proposed the use of spectral representation to analyze more realistic cell models. We adopted a shell-spheroidal model to analyze the effects of the cell membrane. It is found that the dielectric property of the cell membrane has only a minor effect on the dispersion magnitude ratio and the characteristic frequency ratio. We further included the effect of rotation of dipole induced by an external electric field, and solved the dipole-rotation spheroidal model in the spectral representation. Good agreement between theory and experiment has been obtained.     

Dielectric behaviour of graded spherical cells with an intrinsic dispersion

The dielectric properties of single-shell spherical cells with an intrinsic dielectric dispersion have been investigated. By means of the dielectric dispersion spectral representation (DDSR) for the Clausius-Mossotti (CM) factor, we express the dispersion strengths as well as the characteristic frequencies of the CM factor analytically in terms of the parameters of the cell model. These analytic expressions enable us to assess the influence of various model parameters on the electrokinetics of cells. Various interesting behaviours have been reported. We extend our considerations to a more realistic cell model with a graded core, which can have spatial gradients in the conductivity and/or permittivity. To this end, we address the effects of a graded profile in a small-gradient expansion in the framework of DDSR.PACS: 87.18.-h Multicellular phenomena - 82.70.-y Disperse systems; complex fluids - 77.22.Gm Dielectric loss and relaxation - 77.84.Nh Liquids, emulsions, and suspensions; liquid crystals     

Dielectric Behavior of Oblate Spheroidal Particles:Application to Erythrocytes Suspensions

We have investigated the pressure effect on the eletrorotation (ER) spectrum of living cell suspensions byconsidering the particle shape effect. In particular, we consider coated oblate spheroidal particles and present a theoreticalstudy of ER based on the spectral representation theory. Analytic expressions for the characteristic frequency as wellas the dispersion strength can be obtained, thus simplifying the fitting of experimental data on oblate spheroidal cellsthat abound in the literature. From the theoretical analysis, we find that the cellshape, coating as well as materialparameters can change the ER spectrum. We demonstrate a good agreement between our theoretical predictions andexperimental data on human erthrocytes suspensions.     

Transformation of the spectral density of intensity fluctuations of the pulsed radiation from a quasi-single-mode heterolaser in an optical fiber

The spectral density of intensity fluctuations of quasi-single-mode heterolaser radiation under pseudorandom pulsed modulation of the pumping current has been studied for the first time by numerical methods. In the limit of the second-order dispersion theory, the effect of the chromatic dispersion of an optical fiber on the noise characteristics of laser radiation (spectral density of fluctuations and signal-to-noise ratio in the operating range of the photodetector) was investigated. The effect of the laser parameters and modulation on the transformation of the intensity fluctuations in a fiber-optic communication line was studied.     

Electrorheology: Statics and dynamics

The interaction between nanoparticles and an electric field is explored from the electrorheological (ER) point of view, using variational formulations for both the static and dynamic characteristics. In the first part the static characteristics of the ER fluid, consisting of a dispersion of solid particles in a liquid, is detailed by using the spectral representation approach for the effective dielectric constant. Predictions concerning the ground state structure, yield stress, upper bounds on the ER effect are presented together with comparisons to experimental results. The giant ER effect, involving a different paradigm of permanent electric dipoles, is described phenomenologically. In the second part the ER fluid dynamics is formulated via the variational principle of Onsager. Predictions of the model are compared with experiments. It is shown that the phenomenon of the diminishing ER effect at high shear rates may be mitigated by the planar interdigital electrode configuration.     

A spectral invariant representation of spectral reflectance

Spectral image acquisition as well as color image is affected by several illumination factors such as shading, gloss, and specular highlight. Spectral invariant representations for these factors were proposed for the standard dichromatic reflection model of inhomogeneous dielectric materials. However, these representations are inadequate for other characteristic materials like metal. This paper proposes a more general spectral invariant representation for obtaining reliable spectral reflectance images. Our invariant representation is derived from the standard dichromatic reflection model for dielectric materials and the extended dichromatic reflection model for metals. We proof that the invariant formulas for spectral images of natural objects preserve spectral information and are invariant to highlights, shading, surface geometry, and illumination intensity. It is proved that the conventional spectral invariant technique can be applied to metals in addition to dielectric objects. Experimental results show that the proposed spectral invariant representation is effective for image segmentation.     

分析双Amici棱镜角度误差对色散的影响

双Amici棱镜为复合棱镜结构,作为成像光谱系统中的分光元件,避免了单棱镜色散结构存在的多种问题。双Amici棱镜的加工生产要对其各个角度提出生产指标,而角度误差对于光谱成像系统的色散性是有影响的。针对一种编码孔径成像光谱仪,设计了符合性能指标要求的双Amici棱镜,并从光线追迹的角度出发,计算得到双Amici棱镜色散的数学模型。针对给出的一特定光学系统中的棱镜结构推导了棱镜各个角度单独对线色散的影响,并分析给出各个角度构成的误差链对线色散的综合影响,最终给出了棱镜的生产指标。分析结果有助于指导系统中该棱镜的加工生产。     

Multiple-stage liquid crystal tuned filter

A voltage controlled multiple-stage tunable filter with broad continuous tuning range was studied in theory and experiment. Four liquid crystal retarders, two quartz plates with certain integral ratio phase retardations and five polarization films were assembled into a traditional Lyot filter. The tunable function was achieved by using the electro-birefringence effect of liquid crystal. The result of numerical simulation showed that the spectral resolution was ∼10 nm around bands of 500-700 nm; side forms rejection ratio and FWHM changed in contrast to considering and not considering the birefringence dispersion effect of liquid crystal and quartz; the shape of filtered light displayed by spectral photometer would be affected by spectrum bands of light source in spectral photometer. A four-stage tunable filter was made and tested, experiment results agreed with the numerical simulation results very well, the research results could be applied as reference for the study of broad spectrum tunable filters.     

Dielectric torque and orientation dynamics of liquid crystals with dielectric dispersion

We demonstrate that the finite rate of dielectric relaxation in liquid crystals which has been ignored previously causes profound effects in the fast dielectric reorientation of the director. We propose a theory of dielectric response in which the electric displacement depends not only on the present (as in the standard theory) but also on the past values of electric field and director. We design an experiment with a dual-frequency nematic in which the standard "instantaneous" model and our model predict effects of opposite signs; the experimental data support the latter model.     

半导体光放大器亚皮秒量级超快动态特性的研究

通过考虑脉冲频谱的增益色散，提出了一个分析亚皮秒光脉冲在半导体光放大器(SOA)中传输的新思路.分别对超快光脉冲在时域和频域内进行离散化，建立了一个更为合理的传输数值模型.基于该模型，观察到了脉冲频谱的明显漂移，并探讨了漂移量与脉冲载波波长、脉冲能量、脉冲宽度、SOA长度和注入电流等外部条件之间的关系，从理论上解释了文献没有证实的实验结果.同时，基于交叉增益调制原理，利用双光束结构，描述了载流子加热、光谱烧孔效应和双光子吸收等非线性效应引起的增益压缩.理论分析的结果为改善SOA的动态特性提供了指导. 关键词： 半导体光放大器 超快非线性效应 增益色散性     

Temperature dependence of the Kondo resonance and its satellites in CeCu2Si2

We present high-resolution photoemission spectroscopy studies on the Kondo resonance of the strongly correlated Ce system CeCu2Si2. By exploiting the thermal broadening of the Fermi edge we analyze position, spectral weight, and temperature dependence of the low-energy 4f spectral features, whose major weight lies above the Fermi level E(F). We also present theoretical predictions based on the single-impurity Anderson model using an extended noncrossing approximation, including all spin-orbit and crystal field splittings of the 4f states. The excellent agreement between theory and experiment provides strong evidence that the spectral properties of CeCu2Si2 can be described by single-impurity Kondo physics down to T approximately 5 K.     

Bulk viscosity, thermoacoustic boundary layers, and adsorption near the critical point of xenon

We present an improved model for the dissipation and dispersion in an acoustic resonator filled with xenon near its critical temperature Tc. We test the model with acoustic measurements in stirred xenon that have a temperature resolution of (T - Tc)/Tc approximately 7 x 10(-6). The model includes the frequency-dependent bulk viscosity calculated numerically from renormalization-group theory and it includes critical-point adsorption. Because the density of adsorbed xenon exceeds the critical density, the bulk viscosity's effect on surface dissipation is reduced, thereby improving the agreement between theory and experiment.     

透射型光折变体全息光栅对超短脉冲激光光束衍射的特性

在Kogelnik耦合波理论的基础上,考虑光栅记录介质的色散效应的影响,研究了光折变体全息光栅对不同偏振状态的超短脉冲激光光束衍射的性质,讨论了高斯型入射脉冲激光光束的谱宽与光栅的有效衍射谱宽之比不同时,衍射和透射光束的光谱宽度、时间宽度、波形和衍射效率的变化。结果表明,光栅的有效衍射谱宽受光栅参量及入射条件的影响,对衍射性质的影响很大,且在考虑光栅记录介质的色散效应时减小。当入射脉冲的偏振方向垂直于入射面时,光栅的有效衍射谱宽大于偏振方向平行于入射面的情形,衍射效率在入射脉冲宽度较大时小于偏振方向平行于入射面的情形;谱宽比较大时,衍射光束的时间分布曲线产生展宽和变形,且比偏振方向平行于入射面的情形展宽和变形得更加明显。     

Whispering gallery modes in nanosized dielectric resonators with hexagonal cross section

The size dependence of whispering gallery modes in dielectric resonators with hexagonal cross section has been observed within the visible spectral range for cavity diameters comparable to the light wavelength. As a model system single, tapered, high aspect ratio zinc oxide nanoneedles were analyzed. They enable systematic investigations as a function of the resonator diameter down to the nanometer regime. A simple plane wave interference model without free parameter describes the spectral positions and the linewidths of the modes in good agreement with the experiment.     

Quantum Theory of Surface Polaritons in Semi-Infinite Dielectric Systems

The interaction system of a semi-infinite diatomic dielectric and the electromagnetic field propagating parallelly to the surface is studied. The long-wave optical phonon modes of the semi-infinite dielectric are calculated including the electronic polarizability by a quantum-mechanical theory. Retardation effects are neglected. A quantum field theory method of surface polaritons is developed to calculate the operator describing the interaction between a photon and the phonon polarization fields of the semi-infinite crystal, with explicit inclusion of surface effects. The dispersion relations of the surface phonon-polaritons are derived and discussed. The results are in good agreement with those obtained by the conventional, macroscopic dielectric theory of surface polaritons and experimental ATR (attenuated total reflection) spectra. The dispersion cuwes of polariton leaking modes caused by the interaction between bulk TO mode with surface effect and photons are presented in a graphical form. The k_||-dependence of the electric field strength in each polariton branch is calculated and presented also in a graphical form. We also research the spatial dependence of the field strength in each polariton branch. It is found that these properties are influenced and modulated by the surface phonons because of the interaction between photons and the surface phonon modes of the semi-infinite dielectric system. Hence the divergent nature (diffraction effect) of light propagating along the fib& and waveguides is restrained. We present a method how to use the boundary conditions in the quantum theory, which will be discussed in detail.     

Photonic band gap in a one-dimensional periodic structure with semiconductor metamaterial in the near infrared

We construct a one-dimensional photonic crystal (1DPC) by use of semiconductor metamaterial in the near infrared which is composed of Al-doped ZnO (AZO) and ZnO and dielectric material. The expressions of transmittance and field distribution are deduced by transfer matrix method, and the dispersion curves of anisotropic permittivity of semiconductor metamaterial are analyzed at different ratio of AZO and ZnO. At last simulation results are given to analyze the influence of thickness of dielectric material and incident angle on the transmittance of the proposed PC.     

Exciting the GKP string at any coupling

We analyze the spectrum of excitations around the Gubser-Klebanov-Polyakov (GKP) rotating string in the long string limit and construct a parametric representation for their dispersion relations at any value of the string tension. On the gauge theory side of the AdS/CFT correspondence, i.e., in the planar N=4 super Yang-Mills theory, the problem is equivalent to finding the spectrum of scaling dimensions of large spin, single-trace operators. Their scaling dimensions are obtained from the analysis of the Beisert-Staudacher asymptotic Bethe ansatz equations, which are believed to solve the spectral problem of the planar gauge theory. We examine the resulting dispersion relations in various kinematical regimes, both at weak and strong coupling, and detail the matching with the Frolov-Tseytlin spectrum of transverse fluctuations of the long GKP string. At a more dynamical level, we identify the mechanism for the restoration of the SO(6) symmetry, initially broken by the choice of the Berenstein-Maldacena-Nastase vacuum in the Bethe ansatz solution to the mixing problem.     

饱和功率密度下线性啁啾对交叉偏振波输出特性的影响

交叉偏振波(XPW)技术是一种基于具有各向异性特征的三阶非线性晶体的非线性滤波技术,由于结构简单,稳定可靠,是超强超快激光领域提高时域对比度、压缩脉宽的有效手段之一.在实验中发现,XPW的输出特性受驱动脉冲特性的直接影响,通过理论计算得到了XPW的脉宽和光谱宽度与驱动脉冲的啁啾特性关系,同时利用声光可编程色散滤波器设计实验对理论计算进行了验证.结果表明:实验结果很好地反映了理论计算得出的结论,同时在饱和功率密度条件下,还表现出了一些理论计算没有反映出的新现象,即XPW的光谱展宽突破了驱动脉冲宽度√3倍的限制,最终脉宽也能够压缩至小于入射脉宽的1/√3;此外对于相反线性啁啾的驱动脉冲所产生的XPW信号,其在光谱形状上有明显的偏移差异,同时输出效率也有所不同.最后对这些新现象进行了进一步的分析和理论解释.     

电子束电流对介质切伦科夫脉塞色散关系的影响

采用等离子体流体理论,从线性扰动方程出发,研究了电子束电流大小对介质切伦科夫脉塞中束波相互作用色散关系的影响,得到了当等离子体返回电流能有效中和与不能有效中和电子束电流两种情形下色散关系和波的增长率,并讨论了电子束电流对束波相互作用色散关系和波增长率的影响。研究表明,等离子体返回电流能有效中和与不能有效中和电子束电流两种情况下有着不同的色散关系和波的增长率。在波导参数和背景等离子体参数固定的情况下,电子束电流并不是越大越好,电子束电流过大不利于提高器件效率,它们之间存在最佳匹配关系。