超声导波评价长骨骨折的仿体实验研究

定量超声评价长骨骨折已成为近年来的研究热点之一,超声导波模式转换理论可被应用于长骨骨折状况的评价。采用三维时域有限差分法分析骨折长骨中导波模式转换的基本规律,提取模式转换定量评价参数;进而结合亚克力管仿体实验,分析不同裂纹程度下导波模式的转换情况。仿真与仿体实验表明,导波模式能量参数与裂纹程度具有很好的相关性,可用于评价长骨骨折状况。     

The Picard Theorem on S-metric spaces

Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S∞-space and prove its completeness. We obtain a new generalization of the classical "Picard Theorem".     

Reply to Comment on 'X-ray scattering from a randomly rough surface'

In a recent paper in this journal, the authors have presented a small-contrast perturbation theory of the coherent and incoherent scattering of x-rays from a randomly rough surface. In a Comment on our work, de Boer compares its predictions with those of earlier theories of such scattering. In this reply we argue that several of his comments and conclusions are incorrect owing to an insufficiently careful estimation of certain integrals that occur in our theory.     

Diffraction methods in the spectroscopy of thin films in the vicinity of resonances

This review is devoted to a theoretical discussion of the diffraction of volume and surface electromagnetic waves from the edge of a thin dielectric film on a metallic substrate. The film can be either semi-infinite in extent or of finite width. Of particular interest is the case in which the film possesses a dipole-active vibrational mode that contributes a pole to its dielectric susceptibility tensor at a frequency that falls within the range of frequencies allowed the surface polaritons at the metal-vacuum interface. An effect of such a film on the dispersion curve of the surface polaritons is to produce a gap in it, with the result that at frequencies below the gap two surface polaritons can propagate with the same frequency. Experimental results showing this gap are described. The anomalies in the diffraction of volume and surface electromagnetic waves from the edge of such a film due to the resonance of surface polaritons in the substrate with the dipole-active excitation in the film are determined analytically, and experimental results bearing on them are discussed. Effects of spatial dispersion and of optical nonlinearities in the dielectric tensor of the film on these diffraction processes are investigated. Some implications of the results presented here for surface polariton spectroscopy as a tool for the experimental study of the properties of surfaces and thin films are discussed.     

吡咯亚胺配体与过渡金属的反应性及其催化烯烃聚合

在经典的Brookhart吡啶双亚胺后过渡金属烯烃聚合催化剂基础上,用吡咯五元环代替吡啶六元环骨架可得到具有不同电子效应的新型吡咯亚胺配体.通过吡咯环特殊的电子效应和位阻效应可设计出种类繁多的有别于吡啶亚胺配体的配合物.综述了吡咯亚胺配体与前过渡金属(Ti,Zr等)、后过渡金属(Fe,Co,Ni,Pd等)、稀土金属(Y...     

时频方法分析长骨中的超声导波及皮质骨厚度

超声导波在长骨中传播时,接收信号中含有相互叠加的多个导波模式。本文提出将希尔伯特-黄变换(HHT)用于分析叠加的多模式导波信号,将其分解成许多单个独立的模式,然后对分解出的模式求得其对应频率下的群速度,并与短时傅里叶变换所得的结果进行比较。通过与理论计算结果比较,可得到长骨皮质骨的厚度。研究结果表明,实验得到的厚度与实际厚度一致。说明通过测量导波模式的速度可以评价皮质骨的厚度,也说明HHT方法是一种识别叠加多模式导波信号的有效方法。      

Hyperfine interactions in titanates: Study of orbital ordering and local magnetic properties

Hyperfine magnetic fields induced on the nuclei of nonmagnetic ions ¹³⁹La and ⁸⁹Y in LaTiO₃ and YTiO₃, respectively, have been microscopically calculated. The dependence of the hyperfine fields on the orbital and magnetic structures of the compounds under study has been analyzed. The comparative analysis of the calculated and known experimental data confirms the existence of the static orbital structure in lanthanum and yttrium titanates.     

Detection of long bones based on Barker code excited ultrasonic guided waves

Single pulse excited ultrasonic guided wave surfers high attenuation during the propagation in long bones.This results in small amplitude and low signal-to-noise ratio(SNR)of measured signals.Thus,the Barker code excitation is introduced into long bone detection to improve the quality of received signals,due to its efficiency in increasing amplitude and SNR.Both simulation and in vitro experiment were performed,and the results were decoded by the weighted match filter(WMF) and the finite impulse response- least squares inverse filter(FIRLSIF),respectively.The comparison between the results of Barker code excitation and sine pulse excitation was presented.For 13-bit Barker code excitation,WMF produced 13 times larger amplitude than sine pulse excitation,while FIR-LSIF achieved higher peak-sidelobe-level(PSL) of —63.59 dB and better performance in noise suppression.The results show that the Barker code excited guided waves have the potential to be applied to the long bone detection.     

Study on the mean trabecular bone spacing based on fundamental frequency estimation method

Ultrasonic backscatter signals from the cancellous bone can be used to diagnose osteoporosis effectively due to its ability to provide the information of bone microstructure. Mean trabecular bone spacing(MTBS)is one of the important parameters for characterization of bone microstructure.This paper proposed a MTBS estimating method based on the fundamental frequency estimation,which was applied to backscatter signals from simulations, and in vitro bovine trabeculae.The estimated MTBS were compared with those of simplified inverse filter tracking(SIFT)algorithm and autoregressive(AR)cepstrum method.The results demonstrated that the proposed method is very robust for the MTBS estimation with more precise estimates and smaller estimated variance in the presence of a small signal-to-noise ratio (SNR),and a large scattering strength ratio of diffuse scatterers to regular ones.     

The angular intensity correlation functions C(1) and C(10) for the scattering of light from randomly rough dielectric and metal surfaces

We study the statistical properties of the scattering matrix S(q|k) for the problem of the scattering of light of frequency ω from a randomly rough one-dimensional surface, defined by the equation x₃=ζ(x₁), where the surface profile function ζ(x₁) constitutes a zero-mean, stationary, Gaussian random process. This is done by studying the effects of S(q|k) on the angular intensity correlation function C(q,k|q',k')=〈I(q|k)I(q'|k')〉-〈I(q|k)〉〈I(q'|k')〉, where the intensity I(q|k) is defined in terms of S(q|k) by I(q|k)=L^-1₁(ω/c)|S(q|k)|², with L₁ the length of the x₁ axis covered by the random surface. We focus our attention on the C⁽¹⁾ and C⁽¹⁰⁾ correlation functions, which are the contributions to C(q,k|q',k') proportional to δ(q-k-q'+k') and δ(q-k+q'-k'), respectively. The existence of both of these correlation functions is consistent with the amplitude of the scattered field obeying complex Gaussian statistics in the limit of a long surface and in the presence of weak surface roughness. We show that the deviation of the statistics of the scattering matrix from complex circular Gaussian statistics and the C⁽¹⁰⁾ correlation function are determined by exactly the same statistical moment of S(q|k). As the random surface becomes rougher, the amplitude of the scattered field no longer obeys complex Gaussian statistics but obeys complex circular Gaussian statistics instead. In this case the C⁽¹⁰⁾ correlation function should therefore vanish. This result is confirmed by numerical simulation calculations.