Normal modes of a poroelastic plate and their relation to the reflection and transmission coefficients

A poroelastic plate that obeys the Biot theory is considered. Compact new forms of its reflection and transmission coefficients, similar to those of the resonance scattering theory for an elastic plate, are derived. A numerical comparison of the reflection coefficient modulus with the plate normal modes, at low frequency, shows that a study of the reflection or transmission coefficient does not provide the same kind of information on the poroelastic plate than an investigation of guided leaky waves propagation.     

Phase-matched four-wave mixing of guided and leaky modes in an optical fiber

Dispersion analysis of guided and leaky modes in an optical fiber shows that these two classes of modes can be coupled to each other through phase-matched four-wave mixing. This process can contribute to the generation of broad and flat supercontinua in highly nonlinear fibers, opening, at the same time, an additional channel of loss through radiation energy transfer from guided to leaky modes.     

Interaction of a guided wave with space charge waves in anisotropic waveguides with the inclusion of a leaky wave

The conversion of an optical guided wave into a leaky mode in a film anisotropic optical waveguide resulting from its interaction with a space charge wave is considered. It is shown that this conversion mechanism may be more efficient than the acoustooptic conversion.     

Trapped modes and resonances for water waves over a slightly perturbed bottom

We construct exact solutions describing trapped water waves over an underwater ridge of small height in the shallow water approximation and in the complete formulation. Resonances (antibound states) in the case of an underwater trench are also constructed.     

The sensitivity of surface guided modes to the bond quality between a concrete block and a composite plate

Ultrasonic modes guided along the surface of a concrete block covered by a composite plate are investigated. First of all, the propagation phenomenon is studied by predicting the dispersion curves for various modes supposed to exist in this structure. Then, focus is made on a specific mode expected to be sensitive to the quality of the bond between the concrete and the composite, according to its through-thickness displacement field. Its dispersion curve is re-plotted for various states of this bond, which is modelled as a thin layer with varying properties. Limit cases corresponding to total disbond and perfect bond are considered. Experiments are then made on two composite-concrete assemblies for these two extreme cases using a contact PZT transmitter and an air-coupled receiver system. The phase velocities are in good agreement with the predicted dispersion curves, thus showing the potential of the ultrasonic guided mode to control the quality of bonds in such structures.     

接触缺陷的振动调制超声导波检测技术研究

针对常规线性超声检测方法无法实现板结构接触类缺陷(如微裂纹、脱粘等)检测问题,将超声导波技术与振动声调制技术相结合,利用稀疏分布传感器发展了一种板结构中接触缺陷非线性超声检测方法。通过低频振动改变缺陷的接触状况,使得通过接触面的高频导波信号的相位和幅值受到调制。对受低频振动调制的超声导波二维时间序列进行时频分析,由于接触类缺陷的存在,在振动调制超声导波序列的时频分布上出现明显的低频振动频率分量。利用提取出的低频振动频率下的超声导波信号,进行了结构接触缺陷成像处理。检测试验表明,基于振动声调制的超声导波缺陷成像方法可以实现结构中的接触类缺陷检测。     

Influence of giant angular resonances on the electromagnetic characteristics of low-lying states

The two-rotor model0 with the Feshbach projection operator method is applied for investigating the properties of the positive parity low-lying collective states in the rare earth nuclei. The calculations of the energy spectra, E2-transition probability and magnetic properties of the states of β- and γ-bands are carried out for the isotopes ^{164, 166, 168}Er. The B(M1) values from 1⁺ states to the ground band are estimated.     

管间界面特性对周向超声导波传播特性的影响

采用界面弹簧模型对圆管结构的管间界面特性进行描述, 推导出含弱界面的圆管结构中声波沿周向传播时的位移场及应力场的数学表达式. 在此基础上采用导波的模式展开分析方法, 给出了与管间界面特性及激励源密切相关的周向超声导波模式展开系数的解析表达式. 数值分析了管间界面特性的变化对周向超声导波的频散和声场产生的影响. 理论与数值分析结果表明, 通过选择适当的驱动频率及周向导波模式, 可使周向超声导波的相速度及圆管外表面的位移场随管间界面特性的变化表现出非常敏感且单调的性质. 这一结果有助于采用周向超声导波方法准确定征圆管结构的管间界面特性.     

Simple high-order Galerkin finite element scheme for the investigation of both guided and leaky modes in anisotropic planar waveguides

A simple high-order Galerkin finite element scheme is formulated to compute both the guided and leaky modes of anisotropic planar waveguides with a diagonal permittivity tensor. Transparent boundary conditions derived from the Sommerfield radiation conditions are used to model the fields at the computational boundaries that allow the radiation into the high index cladding/substrate and decay into the low index cladding/substrate, hence work for both guided and leaky modes. Richardson's extrapolation is employed to achieve high-order accuracy by only using simple first-order-polynomial basis functions. Schemes up to sixth-order of accuracy in the effective index are demonstrated. The resulted non-linear sparse matrix eigenvalue equation is solved using an iterative procedure. The ability of the scheme to compute leaky and guided modes of various structures with isotropic and anisotropic materials, step and graded index profiles is demonstrated; including its applications to investigate the properties of ARROW structures.     

测量单模波导参数的新方法:导模和漏模的双偏振测量

本文提出测量单模波导参数的新方法.用棱镜耦合器测量两种偏振基导模和基漏模的模折射率,并由相应的四个模方程确定单模波导参数.其测量精度优于纯导模测量.用这种方法测量了单模玻璃波导参数,并对误差来源作了理论分析.     

Four wave mixing in a waveguide — Two radiation and two guided modes interaction

The theory of nonlinear interaction between two radiation modes as a pump waves and two guided modes: the input beam and the generated backward beam, is presented. In the degenerate case, for all waves at the same frequency, we demonstrate the possibility of the input wave amplification and the phase conjugate replica generation as well as of the interaction between modes of different polarization. The nondegenerate case, with the phase matching achieved by pump waves amplitude modulation is also considered.     

切伦柯夫相互作用中分段式慢波结构与均匀慢波结构的比较研究

分析了切伦柯夫束波相互作用中使用单段慢波结构的缺点。指出在分段式慢波结构中,漂移段及其两端的慢波结构组成一Bragg谐振腔,当漂移段长度合适时,根据渡越时间效应理论,这种结构能减小调制束中电子的速度分散,提高束波转化效率。通过粒子模拟方法,比较了均匀慢波结构与分段式慢波结构中束波相互作用的物理图像,验证了理论分析结果,并说明了后者有束密度群聚充分,束电子速度分散小,产生微波功率高、频谱质量好,最佳工作电流大,输入电功率高等优点。     

Investigation of the guided modes in anisotropic diffused slab waveguide with embedded metal layer

Abstract

The optical characteristics of the TE and TM guided modes of a multilayer anisotropic two-dimensional waveguide are investigated by using the field component transformation matrix, and also taking into account the substrate intrinsic dispersion. The embedded thin metal layer effects on the propagation constant for both lossless approximated and exact solutions are presented. The lossless approach is accurate enough for the TE waves, but it is not for the TM ones, which exhibit changes of about 10^?6 for the equivalent index. The TM modes also present attenuation constant changes between the lossy and weakly-lossy solutions of the order of 9 dB/cm. Several complex field component mappings are drawn, and the surface plasma waves are also examined.     

Correlations between ultrasonic guided wave velocities and bone properties in bovine tibia in vitro

Correlations between ultrasonic guided wave velocities and bone properties were investigated in bovine tibia in vitro. The velocities of the first arriving signal and the slow guided wave, termed V(FAS) and V(SGW), along the long axis of the tibia were measured at 200 kHz in 20 bovine tibiae using the axial transmission technique. V(FAS) yielded significant negative correlation coefficients of -0.54 to -0.66 with the bone properties. In contrast, V(SGW) yielded strong positive correlation coefficients of 0.68-0.84. The best univariate predictor of V(FAS) and V(SGW) was the cortical thickness yielding adjusted squared correlation coefficients of 0.41 and 0.69, respectively.     

All-optical amplification via the interaction among guided and leaky propagation modes in lithium niobate waveguides exploiting the cascaded second-order nonlinearity

The aim of this paper consists of performing a theoretical investigation of an all-optical amplifier and discussing the problems for a realistic implementation. An original periodically poled lithium niobate channel waveguide, having the optical c-axis opportunely oriented on the xz plane was considered. The waveguiding structure, designed to operate in the second communication window of optical fibers, shows versatile properties as was theoretically demonstrated. In fact, it enables both the selection and the coupling strength of four different propagation modes, two guided and two leaky, interacting via the cascaded second-order nonlinearity. The coupling among guided and leaky modes is obtained by means of two different techniques: (i) birefringence phase-matching (BPM) via a suitable orientation of the optical c-axis crystal on the xz plane and (ii) quasi-phase-matching by periodical inversion of the lithium niobate ferroelectric domains. A strong diffusion of magnesium in the region external to the periodically poled waveguiding channel is needed in order to achieve the suitable BPM and to maximize the bounding of the electromagnetic field and, thus, the overlapping integrals. Finally, a powerful refinement of device operation via the use of the seeded second harmonic waves is proposed. Gains of the order of 20 dB are achieved with reduced bias powers. The order of magnitude of the bias power decreases, with respect to the unseeded second harmonic operation, from 145 to 32 W.     

An orthogonality relation for the modes of wave propagation in an elastic circular cylinder

In this note it is shown that the orthogonality relations obtained by Fama for the eigenfunctions for the elastostatic deformation of a circular cylinder also apply for the elastodynamic case.     

同轴膜片加载圆波导相对论行波管注-波互作用线性理论研究

从改善圆盘加载波导作为相对论行波管慢波结构的特性入手,加入同轴内导体,着重研究其小信号理论。利用场匹配法导出了“热”色散方程并计算求解,具体分析了系统的电子注参量及慢波结构几何尺寸对小信号增益及慢波相速的影响,为同轴圆盘加载相对论行波管的设计提供了理论基础。     

Controlled optical properties of a five-level atom embedded in photonic crystals with defect modes

The optical spectra of a five-level atom embedded in a photonic crystal are studied by considering the double-band photonic band gap reservoir with defect modes in the band gap. It is shown that some interesting phenomena such as absorption, transparency, normal or anomalous dispersion, and large amplification of a weak probe field can be observed by modulating system parameters.     

Study of torsional wave in a poroelastic medium sandwiched between a layer and a half-space of heterogeneous dry sandy media

In this article, the propagation of torsional surface wave in an anisotropic poroelastic layer of finite thickness sandwiched between two heterogeneous dry sandy media is investigated. The first uppermost dry sandy medium is considered as a layer of finite thickness and the second one is considered as a lower half-space. The heterogeneities in both dry sandy media are assumed to arise due to quadratic variations in elastic moduli and mass densities. Whittaker’s functions and variable separable techniques have been taken into the application to calculate the interior deformations inside the assumed model; consequently, we obtain a closed form dispersion relation for the torsional wave using effective boundary conditions. Moreover, casewise dispersion equations for some particular aspects of the problem have been studied, which serve as the focal theme of the study. Some significant observations have been made by detailed numerical calculations and graphical visuals related to the effects of tensile and compressive initial stresses, sandy parameters, heterogeneity parameters, porosity parameter, and thickness ratio parameter on the phase velocity of the torsional wave.