Spectral density matrix description of polarization mode dispersion

We introduce a power spectral density matrix formalism that incorporates both the pulse shape and the field polarization and can therefore easily describe averages over random fluctuations of the local birefringence vector. We demonstrate that quantities such as the differential time delay, power diffusion, and decoherence effects can be obtained directly from the equations of motion for the power density matrix. This approach can be applied to pulses with arbitrary frequency-dependent polarization and intensity distributions and in particular makes possible the minimization of the eye-opening penalty through the proper choice of the initial pulse profile.     

Polarization changing and beam profile deformation of light during the isotropic Raman-nath acousto-optic interaction

A spatial Fourier transform approach is used to study the phenomena of polarization changing and beam profile deformation of light during the Raman-Nath, acousto-optic interaction in isotropic media. Starting from the vector version of the well-known Raman-Nath interaction equation and using a spatial Fourier transform allows analytic solutions that encompass the effects of polarization changing and beam-profile deformation for the multiple scattered light to be found in the spatial-frequency domain. Two kinds of sound wave, longitudinal and shear, are assumed to be interacted with the light, whose transverse spatial profile and state of polarization are arbitrary. It is shown that, for light with an arbitrary spatial profile after interaction with the sound wave in the Raman-Nath regime, the spatial profiles of the scattered light are almost the same shape as those of the input light. For the polarization changing part, it is found that the state of polarization and the direction of rotation can alter, depending not only on the sound amplitude but also on the propagation mode of the sound wave. Simulation results are provided to confirm the validity of this approach.     

Electron emission from ferroelectric thin films enhanced by the presence of 90 degree ferroelectric domains

In this work, a ferroelectric domain-enhanced electron emission mechanism is proposed. The polarization distribution near 90 degrees domain walls is calculated by solving a set of second order differential equations, including the Poisson's one and equations derived from an expansion of the free energy Phi(P) in power series of the polarization according to the Devonshire-Landau-Ginzburg theory. Domain walls intersecting the emitting surface cause sufficient electric fields and lower the potential barrier for electron emission. This induces centers of enhanced electron emission. Relaxing domain walls were found to excite trapped excess electrons in front of the wall.     

Rapid heating of FGM rectangular plates

Thermally induced vibrations of functionally graded material rectangular plates are investigatedin this research. The thermomechanical properties of the plate are assumed to be temperature and positiondependent. Dependency on temperature is expressed based on theTouloukian formula, and position dependencyis written as a power-law function. The ceramic-rich surface of the plate is subjected to temperature rise orheat flux, whereas the metal rich surface is kept at reference temperature or thermally insulated. Temporalevolution of the temperature profile across the plate thickness is obtained by the solution of one-dimensionalheat conduction equation. This equation is originally nonlinear since temperature dependency of thermalconductivity is taken into account. The solution of this equation is obtained by means of the generalizeddifferential quadrature (GDQ) accompanied with the successive Runge–Kutta algorithm in time domain. Themotion equations of the plate are obtained based on the first-order shear deformation theory of plates under smallstrains and small deformations assumptions. Hamilton’s principle is used to establish the motion equations.These equations are discreted in the plate domain bymeans of the two-dimensional GDQ method. The resultingequations are linear time-dependent coupled equations which are traced in time by means of the Newmarktime-marching method. Conducting comparison studies to assure the validity and accuracy of the proposedmodel, parametric studies are carried out to examine the influences of temperature dependency, thermal andmechanical boundary conditions, power-law index, plate geometry and boundary conditions. It is shown thatthermally induced vibrations exist for thin plates.     

A domain evolution model for hysteresis in piezoceramic materials

In this paper, we use a circular distribution to quantify certain domain properties and model the hysteresis behavior of piezoceramic materials. The model is constructed by bridging the characteristics of microscopic domain distribution into the macroscopic (or bulk) behavior. Contributions, other than those associated with the polarization of domains, to bulk quantities are also counted. A domain orientation distribution function is first selected and the corresponding distribution function parameters are chosen as the internal state variables. For the two-dimensional model, a von Mises-Fisher circular distribution is used. Instead of micromechanical analysis of domain motions that would involve large computation efforts, the delineation of domain evolution is simplified by considering the evolution of the domain orientation distribution, which is determined by the dynamic variations of the internal state variables. We also develop a procedure to identify the material constants introduced in the constitutive equations. The models are used to quantitatively characterize various hysteresis loops observed in piezoceramic materials.     

Structure of Weiss domains in ferroelectric crystals

The structure of Weiss domains in ferroelectric crystals in each of which the polarization vector is constant, is investigated through a new variational principle. The general field equations are obtained and it is shown that in the presence of external electric field the total electric field is also constant in Weiss domains but is usually different from that of the polarization field. Moreover, it is proved that domain walls can only be planar surfaces. Finally the case corresponding to pure polarization fields is also treated and an illustrative problem is considered.     

An analytic solution to the coupled pressure–temperature equations for modeling of photoacoustic trace gas sensors

Trace gas sensors have a wide range of applications including air quality monitoring, industrial process control, and medical diagnosis via breath biomarkers. Quartz-enhanced photoacoustic spectroscopy and resonant optothermoacoustic detection are two techniques with several promising advantages. Both methods use a quartz tuning fork and modulated laser source to detect trace gases. To date, these complementary methods have been modeled independently and have not accounted for the damping of the tuning fork in a principled manner. In this paper, we discuss a coupled system of equations derived by Morse and Ingard for the pressure, temperature, and velocity of a fluid, which accounts for both thermal effects and viscous damping, and which can be used to model both types of trace gas sensors simultaneously. As a first step toward the development of a more realistic model of these trace gas sensors, we derive an analytic solution to a pressure–temperature subsystem of the Morse–Ingard equations in the special case of cylindrical symmetry. We solve for the pressure and temperature in an infinitely long cylindrical fluid domain with a source function given by a constant-width Gaussian beam that is aligned with the axis of the cylinder. In addition, we surround this cylinder with an infinitely long annular solid domain, and we couple the pressure and temperature in the fluid domain to the temperature in the solid. We show that the temperature in the solid near the fluid–solid interface can be at least an order of magnitude larger than that computed using a simpler model in which the temperature in the fluid is governed by the heat equation rather than by the Morse–Ingard equations. In addition, we verify that the temperature solution of the coupled system exhibits a thermal boundary layer. These results strongly suggest that for computational modeling of resonant optothermoacoustic detection sensors, the temperature in the fluid should be computed by solving the Morse–Ingard equations rather than the heat equation.     

Stress induced domain formation in LiNbO3 single crystals

The domain formation phenomenon of LiNbO₃ crystals was investigated in this study. A stress induced domain formation mechanism was proposed, and domain formation of the as-grown crystals and domain inversion of substrate crystals were explained. The strong piezoelectric effect of LiNbO₃ at elevated temperature, could be the direct driving force for inversion of the spontaneous polarization direction and could form domain walls. It was found that the tensile component of the internal stresses can inverse the original direction of the spontaneous polarization.     

Temperature-dependent ferroelectric hysteresis properties of modified lead zirconate titanate ceramics

Temperature-dependent ferroelectric hysteresis properties of modified lead zirconate titanate ceramics have been investigated in a wide temperature range from 300 to 433 K. It is observed that remnant polarization, saturation polarization, and coercive field are increasing with an increase of the temperature in a low-field region and decreasing in a high-field region. Such behavior is explained by the competition between switching and backswitching mechanisms. A three-stage dependence of the logarithm of the hysteresis loop area on the logarithm of the electric field is identified. The temperature dependence of backswitching properties has been studied. The obtained results indicate that the temperature dependence of the polarization backswitching can be well described by the Arrhenius law. The activation energy for the domain switching determined from the fitting results exhibits decreasing tendency with the increase of the electric field.     

Numerical study of transient 2-D compressible flow with heat and mass transfer using the finite volume method

In this paper, we used a pressure-based finite volume method to investigate the problem of transient 2-D compressible flow with heat and mass transfer in a rectangular domain. We have used this method to solve the governing equations with given initial and wall slip boundary conditions. We implemented the SIMPLE-TS algorithm in order to compute the numerical solutions for the flow variables, viz., velocity, pressure, temperature, concentration, density. The variation of density of the fluid along the horizontal and vertical line through geometric center of the domain has been studied. The transient solutions of temperature and concentration indicate that, the transient flow though dominates initially, it finally settles down to steady states solutions after elapse of some time. Nusselt number and Sherwood numbers were used to predict the behavior of heat transfer and mass transfer, respectively, at the center line of the rectangular domain.     

Polarization strategies to improve the emission of Si-based light sources emitting at 1.55 μm

We present a electroluminescence (EL) study of the Si-rich silicon oxide (SRSO) LEDs with and without Er³⁺ ions under different polarization schemes: direct current (DC) and pulsed voltage (PV). The power efficiency of the devices and their main optical limitations are presented. We show that under PV polarization scheme, the devices achieve one order of magnitude superior performance in comparison with DC. Time-resolved measurements have shown that this enhancement is met only for active layers in which annealing temperature is high enough (>1000 °C) for silicon nanocrystal (Si-nc) formation. Modeling of the system with rate equations has been done and excitation cross-sections for both Si-nc and Er³⁺ ions have been extracted.     

Control of magnetic domain-wall polarization by means of angled Oersted field writing

We propose a method to control the polarization of the magnetic domain walls (DWs) in ferromagnetic nanowires. Two neighboring DWs with antiparallel polarization alignment rather than parallel alignment are found to exhibit better stability with a helical magnetic structure that can be hardly be detangled. To achieve such an antiparallel alignment, two co-planar current lines with an angle to the nanowire are designed, from which the Oersted field creates a domain in between the current lines while keeping the polarization of the DWs beneath the current lines, as confirmed by a micromagnetic calculation for ferromagnetic nanowires with perpendicular magnetic anisotropy.     

Dielectric behaviour of strontium tartrate single crystals

Strontium tartrate trihydrate (STT) crystals have been grown in silica hydrogel. Various polarization mechanisms such as atomic polarization of lattice, orientational polarization of dipoles and space charge polarization in the grown crystals have been understood using results of the measurements of dielectric constant (έ′) and dielectric loss (tan δ) as functions of frequency and temperature. Ion core type polarization is seen in the temperature range 75–180°C, and above 180°C, there is interfacial polarization for relatively lower frequency range. One observes dielectric dispersion at lower frequency presumably due to domain wall relaxation.     

Inverse heat transfer analysis for design and control of a micro-heater array

A non-linear inverse heat source identification problem is described and solved. The inverse problem analysis is used in the design of an embedded micro-heater array and to estimate the required control settings, which are the input currents to each heating element, to generate as close as possible to a prescribed temperature profile on the surface of a thin copper film. The purpose of the micro-heater array is to control the local copper microstructure through control of the local temperature field. A finite element model of the micro-heater system is used to define a discrete set of non-linear equations used as a basis for the inverse problem solution. Two methods are explored to solve the inverse problem, a direct minimization method with Tikhonov regularization and a passivity-based feedback control algorithm. A uniform and a linear temperature distribution could be attained in the central region above the micro-heater array, but the temperatures near the edges of the domain could not be controlled due to heat loss at the edges. Thus, to control the temperature field over the full width of the domain, the heater array must extend beyond the domain of interest. Both methods to solve the inverse problem are found to perform well. The regularization method allows for a smoother solution, while the feedback control method is simpler as the coefficient matrix for which the update remains unchanged for each iteration.     

Propagation of a random electromagnetic beam through a misaligned optical system in turbulent atmosphere

On the basis of the generalized diffraction integral formula for misaligned optical systems in the spatial domain, an analytical propagation expression for the elements of the cross-spectral density matrix of a random electromagnetic beam passing through a misaligned optical system in turbulent atmosphere is derived. Some analyses are illustrated by numerical examples relating to changes in the state of polarization of an electromagnetic Gaussian Schell-model beam propagating through such an optical system. It is shown that the misalignment has a significant influence on the intensity profile and the state of polarization of the beam, but the influence becomes smaller for the beam propagating in strong turbulent atmosphere. The method in this paper can be applied for sources that are either isotropic or anisotropic. It is shown that the isotropic sources and the anisotropic sources have different polarization properties on beam propagation.     

Efficient numerical method for predicting the polarization-dependent Raman gain in fiber Raman amplifiers

Polarization-dependent gain (PDG) of fiber Raman amplifiers (FRAs) will degrade the performance of optical communication systems. An efficient numerical model is presented to predict PDG quantitatively by substituting the polarization-dependent polarization factor for the constant one in the coupled nonlinear equations usually adopted. The simulation is carried out by estimating the polarization length by use of the average polarization-mode dispersion of the tested fiber; the results, including the Raman gain profile and the fluctuation of the PDG, are highly accordant with the experimental data reported previously. The model can aid in the design of FRAs and in the analysis of system performance.     

加热方式对渗透汽化过程的影响

利用渗透汽化平板膜浓度剖面和温度剖面的计算模型对乙醇脱水进行了模拟计算,计算了外源不加热,恒温加热,恒功率加热,恒温差级间加热和恒膜面积级间加热5种加热方式对水浓度剖面和温度剖面的影响,并比较了不同方式所需的单位面积加热功率,结果表明,当料液中水含量较高时,外源加热是必须的;一般地讲,恒温加热和恒功率加热较级间加热和恒功率较级间加热所需的膜面积小,但单位面积的加热功率相对较大。     

PZT陶瓷的韧性和温度与相变和极化的关系

研究了ＰＺＴ压电陶瓷铁电相变前后的断裂韧性和强度。分析了极化电场与外应力的相对取向对力学性能的影响。探讨了力学性能与极化层导致的畴转向和显微结构变化之间的关系。结果表明，断裂韧性和强度都随着温度的升高而下降至居里点处的低限值，然后略有回升。由于铁电相的热、弹性各向异性引起的内应力和极化残余应力，以及表面应力等的存在，强度比韧性随温度变化的幅度更陡。     

渗透汽化苯脱水的实验室和工业试验研究(Ⅲ)计算机模拟

导出了计算渗透汽化平板膜的浓度剖面和温度剖面的微分方程组,结合实验得到的组分分绶量关联式对千吨级渗透汽化苯脱水中试的膜面积和试验结果进行了验证,计算值和试验值符合良好。模型的建立为万吨级渗透汽经苯脱水的工业设计和实施提供了参考。     

High-resolution studies of domain switching behavior in nanostructured ferroelectric polymers

We have demonstrated an effective electrical control of polarization in the individual crystalline nanomesas of the ferroelectric polymer, poly(vinylidene fluoride)-trifluoroethylene (PVDF-TrFE) and its relation to the polymer structure. The mechanism of polarization reversal has been investigated via sub-10 nm real space imaging of domain pattern evolution under an applied electric field. The domain switching behavior revealed in PVDF-TrFE nanomesas is drastically different from that observed in inorganic solid-state crystalline ferroelectrics. The nanoscale features of the switching process include remote domain nucleation and spatially nonuniform wall velocity. Local switching spectroscopy and domain dynamics studies relate the observed switching features to a random-bond type disorder associated with defects in conformation and molecular packing.