Reconstruction of the spatial spectrum for an anisotropic field of background internal waves

A model reconstruction of the two-dimensional spatial spectrum is considered for an anisotropic field of background internal waves in shallow water. Solution of the inverse problem is based on the data on frequency shifts of the sound field interference maxima. Results of a numerical experiment are presented.     

两模腔场谱间的量子干涉

研究了高Q腔中单个二能级原子与两模二项式光场依赖强度耦合相互作用系统的腔场谱,给出了弱初始场条件下的数值结果,讨论了两模光场之间的量子干涉对腔场谱结构的影响. 发现当两模光场的频率差Δ>g（g为原子与腔场间的耦合常数）时,两模光场间的干涉效应对谱结构没有影响,系统的腔肠谱只是两模腔肠谱的简单叠加;当Δ≤g时两模腔场谱间的干涉比较明显. 在强初始场条件下,量子干涉效应可忽略. 关键词： 腔场谱 量子干涉 两模二项式光场     

Modeling of the exact solution of the inverse scattering problem by functional methods

Relations between different functional algorithms for solving the inverse scattering problem are analyzed. It is shown that the Rose algorithm does not provide a unique solution, but can be used as a means to improve the interference resistance in reconstruction algorithms that provide unique restoration of scatterer characteristics. The possibility of unique reconstruction of refractive-absorbing scatterers by the modified Rose algorithm, which includes the Sokhotsky equation, is illustrated. Results of numeric simulation of the Novikov-Grinevich-Manakov algorithm, which is efficient in reconstructing two-dimensional acoustic refractive-absorbing scatterers of actually arbitrary shape and strength, are presented. The algorithm rigorously allows for multiple scattering effects. It is promising for tomography-like application problems and features a sufficiently high interference resistance.     

非简并双光子Jaynes-Cummings模型腔场谱中的量子干涉

研究了两模二项式光场与二能级原子在高Q腔中发生双光子相互作用过程的腔场谱,给出了弱初始场条件下腔场谱的数值计算结果,讨论了两模腔场谱间的量子干涉.结果表明:两模腔场谱间的量子干涉随着频差的增大而呈现出周期性的衰减振荡,其振荡周期约为0·16g(g为原子与光场的相互作用强度系数),频差大于1·6g时干涉效应已经很弱.量子干涉还与初始场强度有关,随着初始场最大光子数的增加,量子干涉效应逐渐增强,但当光子数大于4时,干涉效应迅速减弱,当最大光子数大于6时,量子干涉现象几乎消失.     

氢负离子在少周期激光场中解离时的干涉效应

本文利用强场近似理论研究了氢负离子在少周期激光场中的解离过程. 在计算中采用了数值积分和鞍点近似两种计算方法并得到了一致的结果. 更为重要的是, 利用鞍点法对激光脉冲中不同时刻解离产生的电子波包之间的干涉效应进行了研究, 发现光电子动量谱的主要结构是电子波包间的周期间干涉和周期内干涉共同作用的结果, 并分析了周期内和周期间干涉效应对光电子能量谱的影响. 最后, 讨论了激光脉宽对周期内和周期间干涉效应的影响. 本文的工作对进一步了解负离子光解离过程中的量子干涉效应和利用光场对其进行调控方面的研究具有意义.     

Broadband near-field interference spectroscopy of metal nanoparticles using a femtosecond white-light continuum

We demonstrate a new nanoscale spectroscopic technique that combines subwavelength near-field imaging with broadband interference spectroscopy. We apply this technique to study phase spectra of surface plasmons in individual gold nanoparticles and nanoparticle dimers. Collective plasmon oscillations in selected nanostructures are excited by a femtosecond white-light continuum transmitted through a subwavelength aperture. The interference spectra detected in the far field result from the coherent superposition of the aperture field and the secondary field re-emitted by the nanostructure. The analysis of these spectra allows us to accurately measure the positions and damping constants of single-nanostructure plasmon resonances.     

两耦合原子与双模二项式光场相互作用系统的腔场谱

研究了高Q腔中具有偶极相互作用的两个等同二能级原子与双模二项式光场相互作用过程的腔场谱,重点研究了两模腔场谱的干涉效应对谱结构的影响。结果表明:两模光场平均场强相等时,每模腔场谱一般出现对称多峰结构。随着初始场强的增加中间3峰趋于iω和ωi±0.7g处,而边峰消失。当两模初始场的频率差Δ大于6g(g为原子与腔场的耦合常量)时,两模间的干涉效应可以忽略;在Δ小于6g时,模间的干涉效应对腔场谱结构有明显的影响;尤其当Δ从1.4g逐渐减少时,模Ⅰ和模Ⅱ的三个主峰开始逐渐重叠,两模腔场谱之间出现了十分明显的干涉现象。     

通道调制型偏振成像系统的偏振参量重建

通道调制型偏振成像系统中,焦平面上获取的信息需要通过目标偏振参量的重建才能有效提取,因而重建是目标识别、材料分析、生物医疗等技术进一步应用的前提.为了实现在非理想情况下通道调制型偏振成像系统的偏振参量精确重建,需要解决成像系统中电荷耦合器件(CCD)采样频率与频谱位置偏移对重建的影响.本文首先详细分析了频谱不发生混叠的条件:CCD采样频率应至少为4倍基频;在偏振干涉频谱位置偏移时,使用最大频谱法确定各个偏振态的载波频率,通过频移、滤波和傅里叶变换获得目标的偏振重建二维图像;最后通过计算机模拟仿真与实验分析结合的方法验证该重建方案的可行性与有效性.模拟与实验结果表明:改进后的偏振重建法得到的偏振图像与原始输入图像的均方差在0.001以下,峰值信噪比有明显的提高,且结构相似度可达到0.9以上,表明该方法获得的二维偏振态重建图像精度高,与理论偏振解调法相比具有很大的优越性.该工作希望为后续偏振探测与分析进一步的研究提供参考.     

Dual Principles in Maximum Entropy Reconstruction of the Wave Distribution Function

Maximum entropy methods are used for reconstructing the distribution of energy in wave vector space from frequency spectra observed on board satellites. The reconstruction scheme is based on a modified entropy function, and dual principles are used to solve the resulting optimization problem. Our scheme is not limited to reconstructions of wave distribution functions, but it should be useful also for solving other types of underdetermined inverse problems.     

Effect of sensor proximity over the non-conformal hologram plane in the near-field acoustical holography based on the inverse boundary element method

Near-field acoustical holography (NAH) is a useful tool for the identification and visualization of vibro-acoustic sources. In particular, NAH can be applied to many practical sources having irregular shape if the inverse boundary element method (BEM) is employed. Once the relation between the source and the radiated field is defined in the transfer matrix modeled by the BEM, the reconstruction of acoustic parameters on the source surface can be conducted by the multiplication of the inverse transfer matrix and the field data measured over the hologram surface. The usual practical way to measure the field data radiated from an irregular shaped source is to adopt a regular hologram surface, which can be a flat, cylindrical, or spherical shape, for the measurement ease. Then, the hologram surface is not conformal to the source surface and the resulting transfer matrix becomes further ill-posed than the conformal case. To investigate the effect of sensor proximity and distance variability on the reconstruction error, simulation and measurement were conducted for an interior problem comprised of a parallelepiped rigid box with a vibrating end plate. Flat, tilted, and randomized hologram surfaces were adopted in the test. It was shown that the reconstruction error is greatly affected by the conditioning of transfer matrix which is related to the positioning of sensor. To improve the reconstruction accuracy, an investigation was conducted to find proper field points among a large number of overdetermined field points. The number of field data was reduced gradually under various reduction schemes using condition number, effective independence value, and sensor distance. It was demonstrated that the quality of reconstruction result given by the non-conformal measurement can be improved by removing some field points that contribute to the ill-conditioning of the inverse problem. A small improvement of the reconstruction accuracy was observed by reducing the field points in the overdetermined situation. However, further reduction of the field points, becoming an underdetermined situation, yielded a drastic improvement of the reconstruction accuracy.     

基于改进的多轴差分吸收光谱层析技术的烟羽浓度峰重建

建立了被动多轴差分吸收光谱层析系统,实现烟羽气体的时空浓度分布测量,分别采用传统的同步迭代重建算法(SIRT)和改进的SIRT对测量数据进行了重建分析,克服了一些实际测试中不能获 取大量投影数据或投影分布不均匀、存在噪声的问题,精确地重建出大气痕量气体的二维空间分布．在不同的模型及评价指标下,通过数值模拟对两种重建算法的效果进行比较,改变改进的SIRT算法中的松弛因子,在5500次的迭代过程中,指标d从0.435降到了0.044,指标r从0.376降到了0.044,改进的SIRT算法具有更好的重建效果．外场重建试验中成功重建了大气痕量气体的二维空间．     

基于心磁信号的心脏电流偶极子阵列成像及相关性质的研究

超导量子干涉器（SQUID）能探测到微弱的心脏磁场信号. 通过对所得的心磁信号进行分析,可为许多心脏疾病的诊断提供依据. 利用心磁信号,采用极小范数最小二乘法（MNLS）对心脏的电流偶极子阵列进行重建,从而实现了对心脏内部等效电流源的成像. 在使用MNLS进行电流偶极子阵列反演重建的过程中,反演所需的心磁信号,分别由单电流偶极子和电流多极子作为激发源模拟得到,以及由SQUID实际测量得到. 同时,对不同心磁信号反演得到的电流偶极子的分布规律进行了分析. 此外,还给模拟的人体外心磁信号施加了均匀噪声和随机噪声,研究不同信噪比的均匀噪声和随机噪声对电流偶极子阵列重建的影响. 关键词： 心磁信号 超导量子干涉器 电流偶极子阵列重建 极小范数最小二乘法     

基于心磁信号的心脏电流偶极子阵列成像及相关性质的研究

超导量子干涉器（SQUID）能探测到微弱的心脏磁场信号. 通过对所得的心磁信号进行分析,可为许多心脏疾病的诊断提供依据. 利用心磁信号,采用极小范数最小二乘法（MNLS）对心脏的电流偶极子阵列进行重建,从而实现了对心脏内部等效电流源的成像. 在使用MNLS进行电流偶极子阵列反演重建的过程中,反演所需的心磁信号,分别由单电流偶极子和电流多极子作为激发源模拟得到,以及由SQUID实际测量得到. 同时,对不同心磁信号反演得到的电流偶极子的分布规律进行了分析. 此外,还给模拟的人体外心磁信号施加了均匀噪声和随机噪声,研究不同信噪比的均匀噪声和随机噪声对电流偶极子阵列重建的影响.     

浅海矢量声场干涉结构形成机理及试验研究

浅海低频声场的微观结构特征在于具有可用波导不变量表征的 稳定空间-频率干涉结构.声场兼具标量场和矢量场, 波导条件下二者联合决定声场的全部特性. 本文研究浅海声场空频干涉结构的矢量场特征. 理论分析了声压谱、动能密度谱、声强流谱等矢量场干涉结构的形成机理, 探讨了矢量场干涉结构的波导不变量表征, 数值仿真研究了Pekeris波导中能量和能流密度的干涉特性, 进行了宽带声源辐射矢量声场干涉特性及表征的海上试验.实测结果与理论、仿真分析有较好的一致性. 研究结果表明: 中近程和中远程声场均能模态相干, 有稳定的空频干涉结构, 并且矢量声场空频干涉结构存在多种形式, 除各种能量和能流密度谱图外, 相干系数谱也呈现干涉特征, 这些形式的空频干涉结构均可用波导不变量理论有效表征. 关键词： 矢量声场 干涉结构 波导不变量 浅海低频声场     

Acoustic monitoring of frontal zone

A new method for detecting frequency shifts of acoustic field interference maxima is proposed. The method is based on the cross-correlation processing of frequency-swept signals. Perturbations of medium are modeled as variations in the frontal zone width. The potential of this method is analyzed in comparison with the known methods for measuring frequency shifts of interference maxima. A model reconstruction of the frontal zone variability is performed.     

Semiclassical Calculation of Recurrence Spectra of Li Rydberg Atom in Crossed Electric and Magnetic Field

Closed-orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. Using the dosed-orblt theory and classical perturbation theory, we calculate the scaled recurrence spectra of Lithium atom in magnetic field plus a weak perpendicular electric field. The results show when the crossed electric field is added, the recurrence spectra are weakened greatly. As the scaled electric field f increases, the peaks of the recurrence spectra lose strength. Some recurrences are very sensitive and fall off rapidly as f increases, others persist till much higher f. As the electric field is stronger, some of the peaks revive. This phenomenon, caused by the interference among the electron waves that return to the nucleus, can be computed from the azimuthal dependence of the classical closed orbits.     

Energy spectra of electrons backscattered from bulk solid targets

Energy distribution spectra of backscattered electrons in the range 5–25 keV are obtained experimentally. An inverse problem of the reconstruction of the true electron spectrum is solved taking into account the instrument response function of the spectrometer; on the basis of the obtained solution, we specify functions of the real energy distribution of the electrons backscattered from homogeneous and layered samples.     

Kerr效应对二项式腔场谱量子干涉的影响

研究了含Kerr介质高Q腔内单个二能级原子与双模二项式光场发生双光子共振相互作用系统的腔场谱,给出了Kerr效应与量子干涉项ΔS(ω)关系的数值计算结果,讨论了Kerr效应对二项式腔场谱量子干涉的影响.结果表明:若初始时刻原子处于激发态而双模光场处于二项式态,随Kerr效应的增强,致使量子干涉项引起谱线强度的改变量呈现出"不规则的周期性衰减振荡"特性,震荡幅度与两模光场的频差密切相关.在Kerr系数χg(g为光场与原子的耦合常数)时,Kerr效应对干涉项的影响比较强烈;在χg时,趋于平稳.随着Kerr效应的增强,系统腔场谱由对称结构逐渐演化为不对称的多谱线结构.     

Spectrum reconstruction based on the constrained optimal linear inverse methods

The dispersion effect of birefringent material results in spectrally varying Nyquist frequency for the Fourier transform spectrometer based on birefringent prism. Correct spectral information cannot be retrieved from the observed interferogram if the dispersion effect is not appropriately compensated. Some methods, such as nonuniform fast Fourier transforms and compensation method, were proposed to reconstruct the spectrum. In this Letter, an alternative constrained spectrum reconstruction method is suggested for the stationary polarization interference imaging spectrometer (SPIIS) based on the Savart polariscope. In the theoretical model of the interferogram, the noise and the total measurement error are included, and the spectrum reconstruction is performed by using the constrained optimal linear inverse methods. From numerical simulation, it is found that the proposed method is much more effective and robust than the nonconstrained spectrum reconstruction method proposed by Jian, and provides a useful spectrum reconstruction approach for the SPIIS.     

Method of acoustic sweep monitoring of oceanic inhomogeneities (Review)

Theoretical grounds of the new method of monitoring of the temporal variability of oceanic inhomogeneities, which uses the data on frequency shifts of interference maxima of the sound field, were described. The method is free of limitations on both the resolution of signals coming in individual modes (rays) and the adiabatic approximation underlying the conventional methods of inhomogeneity reconstruction. The monitoring sensitivity was estimated, which allows us to estimate minimum detectable changes in the speed of sound by measurement data on frequency shifts of local maxima. Experimental data on shifts of the frequency spectrum of a broadband low-frequency signal on a stationary path in a shallow sea were presented. On their basis, the possibility of applying this method to diagnose tidal variations was shown. Within a numerical simulation, model reconstruction of the frequency spectrum of background internal waves was considered on the basis of the data on measurements of the spectrum of frequency shifts of the interference maximum. The results of the spectrum reconstruction with and without focusing of the conjugate wave field are presented. The problems of monitoring stability and efficiency with respect to the interference pattern formed by various groups of modes were discussed.