荧光波长对共焦显微镜成像特性的影响

导出了共焦显微镜中不同荧光波长情况下的荧光功率传输函数、三维脉冲响应函数（3D－PSF）和三维光学传递函数（3D－OTF）。结果表明，不同的荧光波长对共焦显微镜的空间截止频率、分辨率、光学传递函数存在明显的影响。当激发波长与荧光波长的比值下降到一定程度时，可以看到明显的失锥现象。     

ANTHEM: anatomically tailored hexagonal MRI

PURPOSE: This study aimed to investigate the use of anatomically tailored hexagonal sampling for scan-time and error reduction in MRI. MATERIALS AND METHODS: Anatomically tailored hexagonal MRI (ANTHEM), a method that combines hexagonal sampling with specific symmetry in anatomical geometry, is proposed. By using hexagonal sampling, aliasing artifacts are moved to regions where, due to the nature of the anatomy, aliasing is inconsequential. This can be used to either reduce scan time while maintaining spatial resolution or reduce residual errors in speedup techniques like UNFOLD and k-t BLAST/SENSE, which undersample k-space and unwrap fold-over artifacts during reconstruction. Computer simulations as well as phantom and volunteer studies were used to validate the theory. A simplified reconstruction algorithm for hexagonally sampled and subsampled k-space data was also used. RESULTS: A reduction in sampling density of 13.4% and 25% in each hexagonally sampled dimension was achieved for spherical and conical geometries without aliasing or reduction in spatial resolution. Optimal subsampling schemes that can be utilized by UNFOLD and k-t BLAST/SENSE were derived using hexagonal subsampling, which resulted in maximal, isotropic dispersal of the aliases. In combination with UNFOLD, ANTHEM was shown to move residual aliasing artifacts to the corners of the field of view, yielding reduced artifacts in CINE reconstructions. CONCLUSIONS: ANTHEM was successful in reducing acquisition time in conventional MRI and in reducing errors in UNFOLD imaging.     

An FDTD scheme on a face-centered-cubic (FCC) grid for the solution of the wave equation

A method is proposed to improve the numerical dispersion characteristics for simulations of the scalar wave equation in 3D using the FDTD method. The improvements are realized by choosing a face-centered-cubic (FCC) grid instead of the typical Cartesian (Yee) grid, which exhibits non-physical distortions of the wavefront due to the FD stencil. FCC grids are the logical extension of hexagonal grids in 2D, and have been shown previously to provide optimal sampling of space based on close packing of spheres (highest density). The difference equations are developed for the wave equation on this alternative grid, and the dispersion relationship and stability for grids of equal and non-equal aspect ratios are derived. A comparison is made between FCC and Cartesian formulations, based upon having an equal volume density of gridpoints in each method (i.e. the computational storage requirements of each method would be the same for the same simulated space). The comparison shows that the FCC grid exhibits a much more isotropic dispersion relation than the Cartesian grid of equivalent density. Furthermore, for an equivalent density, the FCC method has a more relaxed stability criterion by a factor of approximately 1.35, resulting in a further reduction in computational resources.     

图像传输方法测量海水的点扩展函数

海水水体的点扩展函数（PSF）及光学传递函数（OTF）描述了海水中光或图像传输的性质,是研究海水光学性质及水下图像系统的基本参数。探讨了用图像传输的理论测量海水点扩展函数或光学传递数的方法,在实验室中建立了一套测量和计算系统;对不同长度的散射水体进行了测量,得到了一维和二维的海水点扩展函数曲线,测量结果与理论分析相符合。     

Quasi 3D imaging of DNA-gold nanoparticle tetrahedral structures

Verification by imaging of the structure of 3D DNA constructs, both bare and conjugated to metal nanoparticles, is challenging. We demonstrate here two transmission electron microscopy (TEM) based methods to distinguish between fully formed tetrahedra, synthesized from DNA conjugated with gold nanoparticles (GNPs) at their vertices, and structures which are only partially formed. When deposited on a surface, fully formed tetrahedra are expected to retain their 3D pyramidal structure, while partially formed structures are expected to form a 2D structure. The first method by which 3D and 2D structures were distinguished was imaging them at different defocusing values. While for 2D structures all the four GNPs acquire Fresnel fringes at the same defocusing value, for 3D structures at least one particle is at a different plane with respect to the others, and so it acquires Fresnel fringes at a different defocusing value. The second method we show is imaging of the structures at different angles. While a single TEM image gives only a 2D projection of the structure, by combining information achieved from imaging at several tilting angles one may verify the structural construct.     

The stability and the nonlinear elasticity of 2D hexagonal structures of Si and Ge from first-principles calculations

By using the first-principles calculations based on the density-functional theory (DFT), we study the stability and the nonlinear elasticity of two-dimensional (2D) hexagonal structures of Si and Ge. The reproduced structure optimization and phonon-dispersion curves demonstrate that Si and Ge can form stable 2D hexagonal lattices with low-buckled structures, and provide a good agreement with the previous DFT calculations. The second- and third-order elastic constants are calculated by using the method of homogeneous deformation. The present results of the linear elastic moduli agree well with the previous results. In comparison with the linear approach, the nonlinear effects really matter while strain is larger than approximately 3.5%. The force-displacement behaviors and the breaking strength of 2D hexagonal Si and Ge are discussed using the nonlinear stress-strain relationship. By using the available results of graphene, we reasonably demonstrate that the radius of the atom increases and breaking strength of this element decreases for 2D hexagonal structures of group IV-elements.     

六边形格子态斑图的数值模拟

采用双层耦合的Lengel-Epstein模型, 通过改变两子系统图灵模的强度比, 获得了四种的六边形格子态和多种非格子态结构. 模拟结果表明: 反应扩散系统的格子态结构由三套子结构叠加而成, 是两图灵模的波数比和强度比共同作用的结果, 两模的强度比决定了三波共振的具体模式; 另外, 系统选择格子态斑图所需的两图灵模的强度比大于非格子态斑图的强度比; 逐步增加两图灵模强度比, 出现的斑图趋于从复杂到简单变化. 深入研究发现: 不同互质数对(a, b)对应的格子态斑图的稳定性不同, 其中(3, 2)对应的格子态结构最为稳定.     

JMCT程序在线多普勒展宽研究

在核反应堆堆芯物理分析中, 考虑燃料核素的多普勒效应对反应性的影响是必要的. 基于最小二乘拟合法, 在自主蒙特卡罗粒子输运程序JMCT中开发了在线多普勒展宽功能. 在300-3000 K的温度范围内, 利用核数据处理程序(NJOY)制作了系列温度点下的连续能量核数据. 在统一的能量网格上, 进行最小二乘拟合, 得到拟合参数. JMCT利用这些拟合参数, 快速计算得到任意温度的核数据, 用于输运计算. 计算结果表明, 拟合得到的核数据与NJOY制作的核数据符合很好, 满足精度要求. JMCT临界模型计算结果表明, 拟合参数计算有效增殖因数k_eff与直接采用NJOY加工得到核数据的计算结果吻合.     

Decomposition of the optical transfer function: wavefront coding imaging systems

We describe the mapping of the optical transfer function (OTF) of an incoherent imaging system into a geometrical representation. We show that for defocused traditional and wavefront-coded systems the OTF can be represented as a generalized Cornu spiral. This representation provides a physical insight into the way in which wavefront coding can increase the depth of field of an imaging system and permits analytical quantification of salient OTF parameters, such as the depth of focus, the location of nulls, and amplitude and phase modulation of the wavefront-coding OTF.     

相干场成像技术接收镜精度对传递函数的影响

根据相干场成像技术(又称傅里叶望远镜)接收镜的特点, 研究了接收镜偏差对相干场成像技术光学传递函数的影响, 推导了光学传递函数与接收光路光程均方差的关系式. 该式表明相干场成像技术的光学传递函数是接收光路光程均方差与频差乘积的平方的负指数函数. 为确定接收系统精度提供了理论依据. 关键词： 相干场成像 傅里叶望远镜 误差 光学传递函数     

Optical Transfer Function Reconstruction in Incoherent Fourier Ptychography

An optical transfer function(OTF) reconstruction model is first embedded into incoherent Fourier ptychography(IFP).The leading result is a proposed algorithm that can recover both the super-resolution image and the OTF of an imaging system with unknown aberrations simultaneously.This model overcomes the difficult problem of OTF estimation that the previous IFP faces.The effectiveness of this algorithm is demonstrated by numerical simulations,and the superior reconstruction is presented.We believe that the reported algorithm can extend the original IFP for more complex conditions and may provide a solution by using structured light for characterization of optical systems' aberrations.     

Magnetic Resonance Fingerprinting with short relaxation intervals

PurposeThe aim of this study was to investigate a technique for improving the performance of Magnetic Resonance Fingerprinting (MRF) in repetitive sampling schemes, in particular for 3D MRF acquisition, by shortening relaxation intervals between MRF pulse train repetitions.Material and methodsA calculation method for MRF dictionaries adapted to short relaxation intervals and non-relaxed initial spin states is presented, based on the concept of stationary fingerprints. The method is applicable to many different k-space sampling schemes in 2D and 3D. For accuracy analysis, T₁ and T₂ values of a phantom are determined by single-slice Cartesian MRF for different relaxation intervals and are compared with quantitative reference measurements. The relevance of slice profile effects is also investigated in this case. To further illustrate the capabilities of the method, an application to in-vivo spiral 3D MRF measurements is demonstrated.ResultsThe proposed computation method enables accurate parameter estimation even for the shortest relaxation intervals, as investigated for different sampling patterns in 2D and 3D. In 2D Cartesian measurements, we achieved a scan acceleration of more than a factor of two, while maintaining acceptable accuracy: The largest T₁ values of a sample set deviated from their reference values by 0.3% (longest relaxation interval) and 2.4% (shortest relaxation interval). The largest T₂ values showed systematic deviations of up to 10% for all relaxation intervals, which is discussed. The influence of slice profile effects for multislice acquisition is shown to become increasingly relevant for short relaxation intervals. In 3D spiral measurements, a scan time reduction of 36% was achieved, maintaining the quality of in-vivo T1 and T2 maps.ConclusionsReducing the relaxation interval between MRF sequence repetitions using stationary fingerprint dictionaries is a feasible method to improve the scan efficiency of MRF sequences. The method enables fast implementations of 3D spatially resolved MRF.     

Reduced aliasing artifacts using shaking projection k-space sampling trajectory

Radial imaging techniques, such as projection-reconstruction （PR）, are used in magnetic resonance imaging （MRI） for dynamic imaging, angiography, and short-T2 imaging. They are less sensitive to flow and motion artifacts, and support fast imaging with short echo times. However, aliasing and streaking artifacts are two main sources which degrade radial imaging quality. For a given fixed number of k-space projections, data distributions along radial and angular directions will influence the level of aliasing and streaking artifacts. Conventional radial k-space sampling trajectory introduces an aliasing artifact at the first principal ring of point spread function （PSF）. In this paper, a shaking projection （SP） k-space sampling trajectory was proposed to reduce aliasing artifacts in MR images. SP sampling trajectory shifts the projection alternately along the k-space center, which separates k-space data in the azimuthal direction. Simulations based on conventional and SP sampling trajectories were compared with the same number projections. A significant reduction of aliasing artifacts was observed using the SP sampling trajectory. These two trajectories were also compared with different sampling frequencies. ASP trajectory has the same aliasing character when using half sampling frequency （or half data） for reconstruction. SNR comparisons with different white noise levels show that these two trajectories have the same SNR character. In conclusion, the SP trajectory can reduce the aliasing artifact without decreasing SNR and also provide a way for undersampling recon- struction. Furthermore, this method can be applied to three-dimensional （3D） hybrid or spherical radial k-space sampling for a more efficient reduction of aliasing artifacts.     

Image quality deterioration due to phase fluctuation in layered superlens

Optical transfer function (OTF) and image spectrums of the layered metal (M)-dielectric (D) superlenses (MD)n (where n is the number of cycles) are analyzed via transfer matrix method and effective-medium model. It is shown that the magnitude of OTF (MTF) with a high cutoff wave vector does not guarantee high resolution; the fluctuation of phase of OTF (PTF) is also a prime factor causing superlens imaging distortion. When the layered metal-dielectric superlenses have a small number of cycles, we find that the different types of superlenses (such as (MD)nM, (MD)n, and (DM)nD) with the same effective permittivity have totally different performances; the superlens with (DM)nD arrangement has the best performance; this will be valuable for designing layered metal-dielectric superlenses with less cycles.     

Optical transfer function of an imaging system aperture masked by a retarder

Modifications of the imaging characteristics of an imaging system and a consequent increase in relative resolution in the spatial frequency range of interest have assumed significance in view of the growing applications of microscope imagery. The present study shows that a diffraction limited imaging system zonally masked by an oblique retarder is much more versatile in the sense that the imaging characteristics can be controlled in real time by virtue of the higher degrees of freedom available to the user. It has been shown that the optical transfer function (OTF) of the system varies periodically with the orientation ϑ of the analyzer at the output. Interestingly, it follows that the optical characteristics of the proposed imaging system can be expressed in terms of three OTF components which combined together gives rise to the overall system OTF. By proper choice of the polarization parameters involved it also possible to isolate these components or to select a convenient combination of these components. Finally, simulated results show that subtraction of two images produced by the proposed retarder masked lens yields OTFs that are difficult to obtain otherwise.     

远场超分辨随机光重建显微镜(STORM)研究进展

了解细胞内分子尺度的动态和结构的特征是生命科学迫切需要解决的问题,要求远场光学成像要求纳米或亚纳米量级的空间分辨率.介绍了一种实现打破衍射极限的远场荧光显微成像技术--随机光重建显微术(STORM),其分辨率可以达到横向分辨率20 nm,轴向分辨率50 nm,理论上这种方法的空间分辨率可以达到单分子定位的精度.具体介绍...     

Three-dimensional integral imaging of micro-objects

We propose a method for displaying micro-objects in space that is based on three-dimensional (3D) integral imaging, in which elemental images are calculated from a two-dimensional sampling of the optical field along different depths by use of confocal scanning microscopy. Experimental results are presented to demonstrate that a uniformly magnified 3D biological specimen can be displayed in space, and thus integral imaging can be used for 3D display of confocal microscopy. To the best of our knowledge, this is the first report of 3D integral imaging of (semitransparent) micro-objects.     

一种基于OTF稳定性的波前编码相位板优化方法

提出了一种简单的可用于光学系统中子午弧矢方向白光OTF稳定性评价的波前编码相位板参量优化方法.该方法仅以标准偏差来评价OTF在目标景深范围内的稳定性,并且结合自适应模拟退火算法在参量空间内优化得到相位板的最佳参量.使用该方法优化得到的相位板参量,可以大幅度提高光学系统的景深,并且可以获得更为清晰、稳定的成像.对应用波前编码技术前后光学系统的成像性能作了比较,并且考察了优化参量的容差性.     

Coupled periodically electric quadrupoles assisted ultra-broadband light-extraction enhancement of red GaN LEDs by manipulating the field orthogonality at nanoscales

Sub-wavelength TiO₂ nanospheres arranged in a two-dimensional (2D) square array and a 2D hexagonal array are used to increase the light-extraction efficiency of an air/GaN interface, which is theoretically investigated by using the finite-different time-domain method. The simulation results show that the 3-dB bandwidth of light extraction can be largely increased from 29 nm to 121 nm when the coupled periodically electric quadrupoles (CPEQ) is supported in a 2D square array. In addition, the near critical coupling of 99.4% can be achieved at the wavelength of 735 nm when the gap distance between adjacent TiO₂ nanospheres is 110 nm. The manipulation of field orthogonality between the electric and magnetic fields results in an increase in the bandwidth of CPEQ, which plays an important role for the ultra-broadband and efficient light extraction.     

OTF测试中CCD对测试准确度的影响和修正

对图像分析中的关键部件CCD本身离散采样的特点及其非线性、响应不均匀、暗电流、噪音等特性对测试造成的影响进行了分析,并给出了由以上因素造成的测试误差的修正方法.在高准确度OTF测试中,CCD必须具有优良的线性、较宽的动态范围、高信噪比.应用一些算法对其进行软件上处理,修正其对测试准确度降低的特征参量是提高测试准确度的有效方法.通过对50mm标准镜头实际测试,采用本文的处理方法对CCD修正后的传函仪测试准确度达到了±3%,满足高准确度测试要求.