Light scattering study of dispersion and attenuation of hypersound in adamantane

The Brillouin scattering techniques have been used to measure the velocity dispersion of hypersonic acoustic waves in the “high temperature” disordered cubic phase of adamantane. Shear waves, characteristic of the C₄₄ elastic constant, show no significant dispersion. Longitudinal waves propagating in the (001) plane show strong velocity dispersion. The measures have been performed at the same temperature T = 295.7 K. Using a classical single relaxation time model for the dispersion as a function of frequency at temperature T, the L-mode data have been correctly fitted.The importance of the dispersion $\text{(C}{}_{\mathrm{\infty }}\text{? C}{}_{\mathrm{o}}\text{)}\text{C}{}_0$ for the elastic constants is 20% for C₁₁, 51% for C₁₂ #1% for C₄₄ and ?2.8% for $\text{(C}{}_{11}\text{? C}{}_{12}\text{)}\text{2}$. The fitted relaxation time is τ ? 9 × 10^?11 sec.     

Performance of an optical wideband WDM system considering stimulated Raman scattering,fiber attenuation and chromatic dispersion

The performance of an optical wideband wavelength division multiplexed (WDM) communication system is analyzed considering the effects of stimulated Raman scattering, fiber attenuation and chromatic dispersion. Improved models for the Raman gain and the fiber attenuation constant are proposed, which yield better and reliable performance results of the WDM system. Effect of fiber chromatic dispersion is also investigated and it is observed that dispersion can suitably be selected to overcome the limitations imposed by the stimulated Raman scattering phenomenon.     

含平行裂缝储层中地震波频散、衰减、及频变各向异性*

裂缝厚度(张开度)对裂缝储层有效渗透率等起关键作用因而探测裂缝厚度对裂缝储层的勘探开发具有重要意义。针对此,该文主要介绍地震波在含平行裂缝储层中的频散、衰减及频变各向异性特征,及其与裂缝厚度的关系。重点探讨了流体运动与散射两种主要机制,并介绍了最新的理论模型研究进展。研究表明,裂缝厚度对流体运动与散射机制均会产生重大影响,主要影响频率范围为流体运动的高频区域和散射的低频区域。该频率范围常在地震频带内,故在实际地震勘探中应考虑裂缝厚度的影响,其同时为地震探测裂缝厚度提供了理论基础。最后,还探讨了流体运动与散射机制的耦合作用,并给出了相应的理论模型。结果表明,两种机制相互耦合时,地震波的频散衰减特征会发生明显变化,应予以考虑。     

Peak-type and dip-type metal-clad waveguide sensing

Two types of operation for metal-clad waveguide sensors, peak-type and dip-type operation, are described. The newly discovered peak-type operation [Sens. Actuators B 94, 304 (2003)] can be achieved by use of a few-nanometers-thick cladding of a metal with a large imaginary permittivity, whereas conventional dip-type operation is obtained with a metal cladding with small imaginary permittivity some tens of nanometers thick. Both types of operation are described, and the main differences are illustrated.     

Nonlinear dispersion in a coupled-resonator optical waveguide

The propagation of an optical pulse in a coupled-resonator optical waveguide may be calculated nonperturbatively to all orders of dispersion, in the conventional tight-binding approximation, even though the dispersion relationship is nonlinear. Working in this framework, we discuss limits of the physical parameters and approximations to the exact formulation that highlight the conditions under which pulse distortion can be minimized. The results are fundamental to the design of coupled-resonator optical waveguides and are also relevant to other applications of the tight-binding method.     

Kramers-Kronig analysis of attenuation and dispersion in trabecular bone

A restricted-bandwidth form of the Kramers-Kronig dispersion relations is applied to in vitro measurements of ultrasonic attenuation and dispersion properties of trabecular bone specimens from bovine tibia. The Kramers-Kronig analysis utilizes only experimentally measured properties and avoids extrapolation of ultrasonic properties beyond the known bandwidth. Compensation for the portions of the Kramers-Kronig integrals over the unknown bandwidth is partially achieved by the method of subtractions, where a subtraction frequency acts as an adjustable parameter. Good agreement is found between experimentally measured and Kramers-Kronig reconstructed dispersions. The restricted-bandwidth approach improves upon other forms of the Kramers-Kronig relations and may provide further insight into how ultrasound interacts with trabecular bone.     

Experimental study of wave dispersion and attenuation in concrete

Results from an experimental study concerning wave propagation in cementitious materials are presented in this paper. Narrow band pulses at several frequencies were introduced into specimens of cement paste, mortar and concrete allowing direct measurement of longitudinal wave velocities and amplitude for each frequency. It is shown that aggregate content play an important role in wave propagation increasing considerably the wave velocity, while the aggregate size seems to control the attenuation observed. Slight velocity variations observed with frequency are discussed in relation to the degree of inhomogeneity of the materials.     

Combined optical dispersion by prism and arrayed waveguide grating with multiple diffraction orders for Raman spectrometer

A compact dispersive device for Raman spectrometer was proposed to achieve a spectrum resolution below 0.55 nm in the spectral range of 800 to 1000 nm. A 41-channel arrayed waveguide grating (AWG) with eleven different diffraction orders was designed, and each output channel of this AWG contained eleven light signals with periodically 20 nm spaced wavelength. These signals were further cross-dispersed by a prism, and finally form a 41 × 11 spots array on a CCD. The detailed theoretical analysis and simulation of this dispersive device were introduced in this paper. Compared with commercial dispersive modules composed of grating, lens, and mirrors, the proposed structure is able to provide a compact device with higher spectrum resolution, which is attractive for handheld Raman spectrometer.     

Fast compressional wave attenuation and dispersion due to conversion scattering into slow shear waves in randomly heterogeneous porous media

Within the viscosity-extended Biot framework of wave propagation in porous media, the existence of a slow shear wave mode with non-vanishing velocity is predicted. It is a highly diffusive shear mode wherein the two constituent phases essentially undergo out-of-phase shear motions (slow shear wave). In order to elucidate the interaction of this wave mode with propagating wave fields in an inhomogeneous medium the process of conversion scattering from fast compressional waves into slow shear waves is analyzed using the method of statistical smoothing in randomly heterogeneous poroelastic media. The result is a complex wave number of a coherent plane compressional wave propagating in a dynamic-equivalent homogeneous medium. Analysis of the results shows that the conversion scattering process draws energy from the propagating wave and therefore leads to attenuation and phase velocity dispersion. Attenuation and dispersion characteristics are typical for a relaxation process, in this case shear stress relaxation. The mechanism of conversion scattering into the slow shear wave is associated with the development of viscous boundary layers in the transition from the viscosity-dominated to inertial regime in a macroscopically homogeneous poroelastic solid.     

线性黏弹性各向异性介质速度频散和衰减特征研究

地层岩石既非各向同性的,也非完全弹性的,正确地描述波在地层中的传播需要搞清楚岩石的各向异性和黏弹性特征.针对裂缝性地层的裂缝发育方位问题,建立具有任意方位角的方位各向异性黏弹性本构关系.使用均匀平面简谐波分析方法研究其频散关系,得到Christoffel方程,进而获得均匀平面波的复速度、相速度、衰减系数和品质因子的表达式.通过黏弹性方位各向异性页岩和砂岩进行模拟,研究了波场在地层中的传播特征,如相速度、衰减系数和品质因子等随频率、方位和入射角的变化关系 关键词： 黏弹性 各向异性 相速度 衰减系数 品质因子     

Analyticity and dispersion relations in atomic scattering

We study the analyticity properties of forward electron-neutral atom scattering in a second quantized formalism. We derive a Low equation for these processes and deduce from it the location of direct and exchange bound state poles and the presence of both right- and left-hand cuts. We also examine the singularities produced by the exchange Born terms in a potential approximation and identify their physical origin. In a local theory, these Born term singularities are a result of the exchange of ionized atoms accompanied by a photon. Based on the singularity structure that we have obstained, we derive novel dispersion relations for forward electron-atom scattering. These equations contain additional terms not present in the “customary” form of dispersion relations for atomic scattering found in the literature. We comment on, and critically discuss, recent work done in this area. The possibility of anomalous thresholds is examined and they are seen to be irrelevant for these processes.     

Analysis for dispersion characteristics of trapezoidal-groove waveguide

In this paper, the dispersion characteristics of the main mode for the trapezoidal-groove guides are analysed by using the approach of equivalent network with transverse resonance. The relationship curves between guide wavelength, phase constant and guide dimensions, frequency are obtained. The characteristics have important values in design, manufacture and application of groove guides.     

光纤波导色散的比例性质研究

基于麦克斯韦方程组的比例性质,讨论了光纤波导色散的比例性质,并对普通光纤、Bragg光纤和光子晶体光纤的波导色散进行了理论研究。以Bragg光纤为例,提出了一种根据波导色散的比例性质灵活设计光纤色散特性的方法。     

The field distributions and dispersion characteristics in chiroferrite central-loaded waveguide

The field distributions and dispersion characteristics of hybrid modes in circular chiro ferrite central-loaded waveguide are investigated numerically in this paper. Especially, the effects of constitutive parameters of chiro ferrite material on the propagation behaviour of hybrid modes are examined in detail, and some novel features are pointed out. The results show that, as reciprocal chiral and gyrotropic media, nonreciprocal chiroferrite materials have potential applications for the design of microwave, millimeter wave and integrated optical devices.     

Dispersion properties of an inhomogeneous piezoelectric waveguide with attenuation

Dispersion relations are investigated for a transversely inhomogeneous piezoelectric layer with attenuation. Using the complex modulus concept, the problem is reduced to a first-order matrix differential equation with complex coefficients. Characteristic structural features of dispersion relations are studied both analytically and numerically. An asymptotic analysis is performed for the low-frequency region.