Computer analysis of the source image structure in 3D electron-optic systems: II. A stationary electromagnetic system

Computer analysis of the image of an arbitrary (point or extended) source obtained in 3D electron-optic systems is performed. The systems involve magnetostatic and electrostatic fields, which, respectively, focus and deflect the electron beams. Two approaches to image scanning are considered where the scan potentials are applied in two (symmetric and asymmetric) modes. It is shown that the spread function of the source, which characterizes the imaging quality of the system most fully, may serve as a primary computational criterion.     

An analysis of stimulated longitudinal electrostatic bremsstrahlung in a free-electron laser structure

An analysis of stimulated emission of radiation by an electron beam passing through a periodic longitudinal electrostatic field is presented, and its use in a free-electron laser structure is discussed. The analysis is based on a coupled-mode calculation of the interaction between a waveguided electromagnetic mode and an electron-beam plasma with finite cross section. The dispersion equation derived applies to the collective as well as the single electron regime. This research is supported in part by AFOSR Grant, 77-3445.     

Group structure analysis for classical lattice systems with constraints: I. General properties

The group structure associated with lattice systems without constraints is extended to systems with constraints and some of its physical consequences are investigated. In particular low- and high-temperature expansions, equilibrium equations and duality transformations are analyzed within this framework. It is shown that a large class of systems with constraints whose configuration space has a group structure are “equivalent” to systems without constraints. These structures are illustrated with several examples.     

Computer approach to the determination of electrostatic fields and capacitive coefficients for 3D multielement sets of screens

The structural components of a computer handbook on electrostatic fields and capacitive coefficients of 3D multielement sets of screens are described. The computer approach suggested is based on boundary integral equations from the 3D theory of harmonic potentials and fast algorithms of the finite-group method that are realized on a Pentium-Pro 200 MHz 128-MB RAM PC.     

Automatic Young's fringe analysis in the source image plane

Typically Young's fringe pattern automatic analysis from a double-exposure image (e.g. a photograph) passes through an indirect processing stage on some intermediate parameter domain. Here, we propose a method based on a complicated image processing technique, operating directly with the source fringe image pixels, and providing remarkable accuracy and computational time. This method is intended for laser speckle velocimetry (LSV), particle image velovimetry (PIV), and digital image velocimetry (DIV) applications. Assuming a common fringe pattern model, we introduce a pre-processing stage to improve significantly the fringe discernment. A dynamic thresholding segmentation scheme, adjusted to the fringe spatial structure, follows to localize the fringes being quantitatively attributed with the corresponding eigenvectors. The algorithm has been tested on real patterns as well as on a set of artifically simulated images with pre-defined characteristics.     

CCD立靶光源适用性的图像判定技术

针对CCD立靶在室外自然环境下和配有主动光源的工程应用,提出一种基于背景图像分析的光源适用性判定方法。在图像采集与实际测试状态一致的条件下,采集无目标背景图像,通过数字图像处理,确定采集视场内各个位置处图像的灰度变化范围f及灰度均值fmean,若背景图像中各个像元的fmean2f,即认为CCD立靶可以对目标图像进行可靠识别。实验室及外场CCD立靶应用实验结果验证了该判据的有效性和可靠性。     

Electronic structure of high-temperature superconductors I. Y-Ba-Cu-O systems

The electronic structure of high-T _c copper based superconductors has been studied using the quasirelativistic INDO molecular orbital method. Model clusters of YBa₂Cu₃O _y systems have been investigated fory ranging between 6·0 and 7·0. Monomeric units [Ba₈Cu₃O _x ] ^q and [Y₄Ba₈Cu₄O _x ] ^q , dimeric units [Ba₁₂Cu₆O _x ] ^q and [Y₆Ba₁₂Cu₈O _x ] ^q as well as tetrameric units [Ba₁₈Cu₁₂O _x ] ^q over 300 valence orbitals have been studied. From the set of occupied molecular orbitals the density of states (DOS) function has been calculated along with its d-orbital projection. The highest occupied molecular orbitals cover the oxygen p-band whereas the copper d-band lies at lower energies. Superconducting phase models (y=6·75 to 7·0) have a higher d-DOS function at higher energies with respect to the non-superconducting phase (y=6·0).     

Geometric distortion in clinical MRI systems Part I: evaluation using a 3D phantom

Recently, a 3D phantom that can provide a comprehensive and accurate measurement of the geometric distortion in MRI has been developed. Using this phantom, a full assessment of the geometric distortion in a number of clinical MRI systems (GE and Siemens) has been carried out and detailed results are presented in this paper. As expected, the main source of geometric distortion in modern superconducting MRI systems arises from the gradient field nonlinearity. Significantly large distortions with maximum absolute geometric errors ranged between 10 and 25 mm within a volume of 240 x 240 x 240 mm(3) were observed when imaging with the new generation of gradient systems that employs shorter coils. By comparison, the geometric distortion was much less in the older-generation gradient systems. With the vendor's correction method, the geometric distortion measured was significantly reduced but only within the plane in which these 2D correction methods were applied. Distortion along the axis normal to the plane was, as expected, virtually unchanged. Two-dimensional correction methods are a convenient approach and in principle they are the only methods that can be applied to correct geometric distortion in a single slice or in multiple noncontiguous slices. However, these methods only provide an incomplete solution to the problem and their value can be significantly reduced if the distortion along the normal of the correction plane is not small.     

Measures of complexity for 3D image analysis of trabecular bone

Based on fractal properties and spatial auto-correlation, the measures of complexity lacunarity, Moran's I and Geary's C index are defined for 3D image analysis. Their abilities to investigate translational invariance, characteristic length scales, spatial correlation and shapes of 3D micro-structures are demonstrated on proto-typical examples. Finally, using these measures of complexity, 3D images of trabecular bone are analysed. The main findings are that the complexity of the trabecular structure decreases and the plate-like shapes of the trabeculae change to mainly rod-like shapes during bone loss. These results and the proposed measures could have a great impact for medicine and for space exploration.     

An automatic image analysis system for the evaluation of dielectric track detectors

The automatic image analysis system for scanning solid state nuclear track detectors is designed by utilizing a microdensitometer. The control of the entire system as well as the data analysis are accomplished with the IBM PC computer equipped with a FrameGrabber. The system counts the number of tracks and measures their geometrical parameters. The usage of the system is illustrated by counting rhombic tracks in mica detectors which were used for the investigation of the fusion–fission reaction ¹²C+ ²⁰⁸Pb.     

Symmetry analysis in neutron diffraction studies of magnetic structures: 3. An example: the magnetic structure of spinels

Using the symmetry analysis technique developed in the two earlier papers of this series a study is made of the magnetic structures in spinels (space group O⁷_h). The magnetic structures with the wave vector K = 0 and those with K ≠ 0 are considered in detail. As an example, an analysis is given of the magnetic ordering in MgV₂O₄ which is characterized by the three-arm star {bdK₁₀} (in Kovalev's notation) and of that in HgCr₂S₄ where a helical structure corresponding to the star {bdK₆} has been found. For each of the three stars we have determined the composition of the magnetic representation and calculated the basis functions of the irreducible representations. For the magnetic structures determined experimentally we have specified the irreducible representations by which these structures should be described. The examples furnished illustrate the typical situations liable to occur when performing symmetry analysis of magnetic structures of crystals.     

Fractal structure of the crystalline-nuclei boundaries in 2D colloidal crystallization: Computer simulations

By performing 2D kinetic Monte Carlo simulations of colloidal crystallization we found that the boundaries of the crystalline nuclei are not only rough, as obtained by experimentalists, but fractal, whose value (_df$d_f$) we calculated. The corresponding boundary for the crystals, above the critical size (_Nc$N_c$), is also fractal but smoother. A knowledge of the particles coordinates during the crystallization process allows us to calculate the _Nc$N_c$, the line tension (γ) and the chemical potential difference (Δμ) between the two phases. However, different from the experimentalists procedure, we found that the boundary fractalities are needed to derive γ and Δμ.     

Finite-aperture effects for Fourier transform systems with convergent illumination. Part I: 2-D system analysis

The Optical Fourier Transform (OFT) is one of the most fundamental operations in analogue Optical Signal Processing (OSP). There are many optical arrangements for implementing the OFT, however one which is particularly popular is the Scaled Optical Fourier Transform (SOFT) because it offers the user the ability to scale the output Fourier distribution. In this paper we study some of the practical limits introduced by using a converging spherical lens of finite aperture to produce the illuminating field in the implementation of the SOFT. By deriving simple rules of thumb, based on examining phase and intensity deviations from the ideal unapertured case, we define an area inside the geometric shadow, which we refer to as a sub-geometric shadow. Inside this sub-geometric shadow we show that the worst-case errors in the resulting SOFT, arising due to diffraction, can be quantified and avoided.     

Inverse problems in the theory of electrostatic energy analyzers. I

General formulas are derived for reconstructing two-dimensional Laplace fields from specified focusing and dispersion characteristics in the plane of symmetry. The electrode configuration is determined for an energy analyzer with ideal focusing of a fan beam. The parameters of the plane trajectories, their shape, and their energy dispersion are determined. Zh. Tekh. Fiz. 69, 128–131 (September 1999)     

3D simulation of the ion-beam transport in bending magnets and electrostatic deflectors

The equations and algorithms for calculating the charged-particle-beam dynamics in bending magnets and electrostatic deflectors, which are used in the ion-beam transport lines and spectrometers, are presented. Calculations of the electromagnetic field 3D maps are illustrated. The value of the electromagnetic-field nonlinearities and their effect on the particle dynamics are analyzed. The simulation of the ion dynamics in the axial injection beam line of the DC-280 cyclotron and GALS spectrometer created at the JINR Laboratory of Nuclear Reactions (FLNR) is described.     

Computer design of electrostatic systems of charge particle optics: Systems with spherical electrodes and a fine-structure grid

Problems in computer-aided design of 3D optical systems for charged particle optics are analyzed. The results of simulation of electron-optical systems of optoelectronic transducers with two cathode packs (spherical cathode-plane fine-structure grid as the accelerating electrode and plane cathode-spherical fine-structure grid) are considered. We note a low technological efficiency of such structures and unsatisfactory quality (as it regards some parameters) of the image being recorded due to spherical electrodes and a fine-structure grid in the cathode pack. Numerical analysis of the effect of adjustment of the design on the quality of the image being recorded is carried out.     

Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: Systematic error analysis and correction

Recently, we proposed a single-lens 3D digital image correlation (3D DIC) method and established a measurement system on the basis of a bilateral telecentric lens (BTL) and a bi-prism. This system can retrieve the 3D morphology of a target and measure its deformation using a single BTL with relatively high accuracy. Nevertheless, the system still suffers from systematic errors caused by manufacturing deficiency of the bi-prism and distortion of the BTL. In this study, in-depth evaluations of these errors and their effects on the measurement results are performed experimentally. The bi-prism deficiency and the BTL distortion are characterized by two in-plane rotation angles and several distortion coefficients, respectively. These values are obtained from a calibration process using a chessboard placed into the field of view of the system; this process is conducted after the measurement of tested specimen. A modified mathematical model is proposed, which takes these systematic errors into account and corrects them during 3D reconstruction. Experiments on retrieving the 3D positions of the chessboard grid corners and the morphology of a ceramic plate specimen are performed. The results of the experiments reveal that ignoring the bi-prism deficiency will induce attitude error to the retrieved morphology, and the BTL distortion can lead to its pseudo out-of-plane deformation. Correcting these problems can further improve the measurement accuracy of the bi-prism-based single-lens 3D DIC system.