纵模对光子晶体中类狄拉克点传输特性的影响

本文通过数值仿真分析了无序正方晶格光子晶体中类狄拉克点的光子传输特性. 结构中的无序是通过随机移动氧化铝介质柱的位置来实现. 研究发现, 由于纵模被激发出来, 在类狄拉克点及其附近无序对结构透射率的影响是不同的. 在类狄拉克点, 由于纵模的干扰, 透射率随着无序的增加而减小, 与通带的行为类似. 在不受纵模干扰的类狄拉克点附近, 透射率几乎不受无序的影响, 这主要是由于结构可以等效为近零折射率材料, 等效的波长非常大. 本文的研究结果有助于人们进一步理解光学纵模和零折射率材料.     

Intensification of acoustic beams in crystals at mode conversion near total internal reflection

Geometrical conditions under which mode conversion occurs in a crystal near total internal reflection of an acoustic beam are found. In this case, the entire energy of an incident pump wave is spent on the excitation of a narrow intense reflected beam close in structure to an eigenmode. A consistent choice of orientations of the sagittal plane and surface that excludes the reflection of a parasitic wave of leakage is found.     

An opportunity for directly estimating the characteristics of zero-point dynamics in polyethylene crystals

For large polyethylene crystallites (100 × 60 × 60 nm), the width of the Raman band at 1129 cm^?1 and the angular position of the x-ray equatorial 110 reflection were measured as a function of temperature over the range 5–300 K. It is found that the Raman bandwidth has an athermic (zero-point) component at low temperatures. This component is used to estimate the zero-point energies of torsional and bending vibrations of polyethylene molecules. These energies are close to those obtained from analyzing the x-ray diffraction data. It is concluded that the characteristics of zero-point dynamics can be determined directly from measuring the zero-point width of a Raman band.     

Superconductivity in Nb-Mo alloys: Possible influence of a dip in the longitudinal acoustic phonon mode

Empirically determined <ω²>^{$\text{1}\text{2}$} correlates well with the frequency of a dip in the [00ζ] LA phonon branch in Nb-Mo alloys. This possibly indicates the importance of this dip to their superconductivity.     

An improvement of tilted AlN for shear and longitudinal acoustic wave

This study investigates c-axis tilted aluminum nitride (AlN) piezoelectric films for the improvement of both shear and longitudinal acoustic wave resonances. Solidly-mounted resonator (SMR) structure is adopted for the applications of high frequency wireless communications and high sensitivity sensors. As to the piezoelectric layer, c-axis tilted AlN has the capability to excite the dual-mode resonances, namely, the longitudinal and shear mode resonances. In this study, SMR devices made with a seven-layer molybdenum/silicon dioxide (Mo/SiO₂) Bragg reflector and the c-axis tilted AlN are carried out. A conventional off-axis sputtering technique is applied to grow the tilted AlN. The outcome frequency responses show dual resonant characteristics. However, the longitudinal resonance fades away with the AlN c-axis tilted angle, and the quality factor of the longitudinal resonance decreases. Consequently, we make an improvement by tilting the off-center substrates toward the sputtering source and successfully enhance the longitudinal resonance while preserving the shear resonance at the same time. Not only the shear resonance for the liquid-based sensing application, but also an outstanding longitudinal resonance could be obtained. The practicability of the dual-mode resonator is extended.     

Elastic constants,acoustic mode vibrational anharmonicity and Grüneisen parameters of hexahalometallate crystals

The room-temperature elastic constants of a number of hexahalometallate A₂MX₆ single crystals [K₂SnCl₆, K₂ReCl₆, (NH₄)₂SnCl₆, (NH₄)₂SnBr₆, (NH₄)₂SiF₆, Rb₂SnBr₆, K₂SeBr₆, (NH₄)₂TeBr₆, K₂PtBr₆ and (NH₄)2PtBr₆] have been measured either by Brillouin scattering or by the ultrasonic pulse echo overlap technique. Refractive indices have also been determined. These antifluorite structure compounds contain large MX^2?₆ ions and the interionic spacings are much greater than those of the alkaline-earth fluorite structure halides: their elastic stiffnesses are correspondingly smaller. Hydrostatic pressure derivatives of the elastic stiffness constants have been measured for K₂SnCl₆, (NH₄)₂SnBr₆ and (NH₄)₂SnCl₆ and are found to be positive; there is no marked softening of the long-wavelength acoustic-phonon modes at room temperature. The vibrational anharmonicities of these long-wavelength modes are discussed in terms of the acousticmode Grüneisen parameters, which are compared with the thermal Grüneisen parameters. For K₂SnCl₆ a mean of optic- and acoustic-mode Grüneisen parameters is shown to correlate well with the thermal Grüneisen parameter.     

An energy-conserving two-way coupled mode model for underwater acoustic propagation

In order to avoid the energy non-conservation in two-way sound field calculations,which results from certain approximation of non-horizontal boundary,an energy-conserving twoway coupled mode propagation model is developed.During the derivation of this model,the non-horizontal boundary condition is treated strictly instead of making an approximation.The coupling equations,which are easy to numerical implementation,are derived from the equation of motion and the equation of continuity.Moreover,the validity of this model is illustrated with several numerical examples of different bottom parameters and the equation of energy conservation.It is shown that a boundary correction is introduced by the strict formulizing of the boundary condition in this model.This boundary correction guarantees the coupling coefficients being symmetrical and makes the sound fields satisfy the energy conservation.Thus,the energy-conserving coupled model is able to handle non-horizontal boundaries adequately,and the two-way sound fields in a non-horizontal stratified media can be calculated exactly by this model.     

一种能量守恒的双向耦合简正波水声传播模型

针对非水平边界条件近似处理所引起的双向声场能量不守恒问题,提出了一种满足能量守恒的双向耦合简正波模型。在模型的建立中,严格考虑了非水平界面的边界条件,并依据介质运动方程和连续性方程推导了便于数值计算的耦合微分方程。同时,结合能量守恒方程和不同海底参数下的数值计算,对模型的准确性进行了研究。由理论分析和仿真结果可以看出,边界条件的严格考虑将导致边界修正项的产生,而边界修正项的引入确保了耦合系数满足对称性和模型所计算的声场满足能量守恒,使得本模型可充分考虑边界水平变化对声场的影响,实现非水平分层波导中双向场的准确计算。     

The morphology of fibrillar polyethylene crystals

A comparison has been made of the morphology of fibrillar polyethylene crystals prepared by shear-induced crystallization and heterogeneous Ziegler-Natta catalysis under similar solvent and temperature conditions. Both specimens had a shish-kebab superstructure consisting of lamellar overgrowths on a filamentary backbone. For polyethylenes stirrer-crystallized at small supercoolings, the overgrown lamallae were removed by nitric acid oxidation followed by selective dissolution, leaving naked filamentary ribbons. Thermal analysis of these specimens suggested a dual molecular conformation of both folded and extended chains. The fact that these fibrils did not deform easily under uniaxial stress conforms with a core of extended chains. Thermal and oxidative behavior of polyethylenes prepared at lower crystallization temperatures suggested a greater content of chain folds in the central thread as the degree of supercooling increased. The Ziegler-Natta fibrils were degraded into lamellar fragments on oxidation and their thermal behavior suggested a predominantly folded-chain conformation. Uniaxial deformation occurred on stretching the Ziegler-Natta specimens in harmony with a core of folded chains. Molecular models have been proposed to account for the observed phenomena.     

Study of polyethylene structure by means of low-frequency Raman spectroscopy: Longitudinal acoustic mode and boson peak

The opportunities given by the low-frequency Raman spectroscopy for studying the ordered structures in polymers are presented and illustrated by examples of application of two techniques. The longitudinal acoustic modes (LAM) excited in straight chain segments of macromolecules are characteristic in linear semicrystalline polymers, while the Boson peak (BP) manifests itself in amorphous (glassy) polymers. Both these features are due to the laser light scattering from the acoustic vibrations localized either in the ordered one-dimension structures (LAM) or in the mid-range order correlation sphere (BP).     

Energetic-particle-induced geodesic acoustic mode

A new energetic particle-induced geodesic acoustic mode (EGAM) is shown to exist. The mode frequency and mode structure are determined nonperturbatively by energetic particle kinetic effects. In particular the EGAM frequency is found to be substantially lower than the standard GAM frequency. The radial mode width is determined by the energetic particle drift orbit width and can be fairly large for high energetic particle pressure and large safety factor. These results are consistent with the recent experimental observation of the beam-driven n=0 mode in DIII-D.     

声子晶体和声学超构材料

声子晶体和声学超构材料进一步拓展了自然界中声学材料的弹性波性质.这种人工的复合结构材料,由于其周期结构的布拉格散射和局域共振特性,使得其具有奇异的色散特征,在某些频段具有负的有效弹性参数,带来了许多新颖的声学传播效应,例如声子带隙效应、负折射效应、超棱镜效应、超透镜效应、异常透射效应、异常隔声效应等.与此同时,在声子晶体和声学超构材料表面,一类具有亚波长特性的声表面倏逝波也引起了人们的关注,研究其激发、传播、耦合的过程对揭示声子晶体和声学超构材料的奇异声传播效应的物理本质具有重要意义.声子晶体和声学超构材料作为一类新型的人工声学结构材料,在隔声、防振、热控制以及新型声学器件研发等方面具有巨大的应用前景.文章综述了近十几年来国际国内关于声子晶体和声学超构材料的研究进展,并对其未来的研究发展方向做一评述.     

An acoustic anomaly at the phase transition in GeTeSnTe alloy single crystals

The ultrasonic wave velocities and attenuation have been measured in single crystals of 20 mole.% GeTeSnTe alloys between 90 and 373°K. The ultrasound velocities and thus the elastic constants show a step-like behaviour, which is accompanied by a peak in the attenuation, at the cubic to rhombohedral transformation temperature (240°K). In the vicinity of the transition a strong interaction occurs between the acoustic phonon modes and the soft TO mode.     

Free radicals trapped in polyethylene crystals

Electron-irradiated specimens of linear polyethylenes, aged at ambient conditions for periods between 79 and 112 months, were examined by electron spin resonance spectroscopy (ESR). Free radicals were found in all irradiated specimens, spin concentrations ranging from 0.5 × 10¹⁶ spins/g to 3.5 × 10¹⁶ spins/g and being nearly proportional to the original irradiation dose. For a given polyethylene, the radical concentration rises monotonically with crystallinity, suggesting that the free radicals are trapped in the crystalline phase. This would account for their longevity. At a given irradiation dose and crystallinity, the radical concentration is lower in normal molecular weight polymer than in ultrahigh molecular weight material. This difference may be explicable in terms of tie-chain concentration.     

Chain conformations on the surface of polyethylene single crystals

New conformations for the shortest folds of polyethylene single crystals were determined from the principles: (1) the conformations of polymethylene chains are basically determined by the rotational isomeric approximation, (2) the crystal part is deformed where it is connected with the fold part, and (3) the conformation of the fold must be determined as the minimum of surface energy, not of conformation energy. It was shown that the surface energy, assuming the crystal state as the reference state, was composed of four terms: (i) the deformation energy of the crystal part, (ii) the sublimation energy of the fold part, (iii) the conformation energy of the fold part, and (iv) the interaction energy between folds. The conformations of the shortest fold were basically (GTGGTGGG) for (110)-folds and (G'G'TTGG) for (200)-folds. The setting angles of all the chains in the crystal part are rotated from their normal angle (41°) to 41 + a° at the boundary between the two parts. The fold part is deformed so as to fit in with the deformed boundary of the crystal part. The conformations with minimum surface energy were obtained at a = 30° for both (110)-and (200)-folds. Their surface energies were about 16 kcal/mole of fold (300 erg/cm2). The surface energies, assuming the liquid state as the reference state, were about 7 kcal/mole of fold (130 erg/cm²).     

An efficient approach toward guided mode extraction in two-dimensional photonic crystals

A rigorous, fast and efficient method is proposed for analytical extraction of guided defect modes in two-dimensional photonic crystals, where each Bloch spatial harmonic is expanded in terms of Hermite-Gauss functions. This expansion, after being substituted in Maxwell’s equations, is analytically projected in the Hilbert space spanned by the Hermite-Gauss basis functions, and then a new set of first order coupled linear ordinary differential equations with non-constant coefficients is obtained. This set of equations is solved by employing successive differential transfer matrices, whereupon defect modes, i.e. the guided modes propagating in the straight line-defect photonic crystal waveguides and coupled resonator optical waveguides, are analytically derived. In this fashion, the governing differential equations are converted into an algebraic and easy to solve matrix eigenvalue problem. Thanks to the analyticity of the proposed approach, the eigenmodes of these structures can be extracted very quickly. The validity of the obtained results is however justified by comparing them to those derived by using the standard finite-difference time-domain method.     

Lattice orientation within stirring-induced crystals of polyethylene

Micro-shish-kebab stirring-induced polyethylene crystals, as defined and described in the preceding paper, are flat, ribbon-shaped fibers. Selected area electron-diffraction techniques were used to determine the orientation of the crystal axes with respect to the external fiber shape. It has been shown that in addition to the crystal-lographic c-axis laying along the fiber direction, the normal to the ribbon plane is parallel to the crystallographic a-axis.     

Setting angle of molecular chains in polyethylene crystals

The setting angles of chains in solution-grown crystals of paraffins were measured from optical transforms of their electron diffraction patterns. Those of solution-grown, melt-crystallized, and drawn polyethylenes were determined by the x-ray diffraction method. The cell dimensions, paracrystalline disorder, and thickness and size of crystallites of these specimens were measured. From these data, factors increasing the setting angle were found as follows; (1) folding of molecular chains, (2) imperfections of crystal lattice, (3) expansion of cell dimensions and (4) smallness of thickness and lateral size of crystallites. The temperature dependence of the setting angle is also discussed; the higher the temperature, the larger the setting angle. At low temperatures, the setting angle also increases, and the values are compared with those predicted theoretically from the minimization of lattice energy. The temperature dependence of the setting angle is interpreted in terms of a conformational change of the stem segments in the crystalline core.