A transformation based method to design ultrasound array

In medical ultrasound imaging, the desired lateral field distribution at each focal distance can be obtained by optimal apodization. On the other hand, the lateral field is a function of focal distance. Hence, finding the optimal apodization is a very arduous process. To overcome this, we have introduced a suboptimal method by which optimal apodization can be calculated in any distance through a nonlinear transformation by the knowledge of the optimal one at a distance. This transformation is established on a fact that the lateral field distribution at focal distance can be expressed as the Fourier transform of a nonlinear function of the aperture weighting, instead of direct expression as the Fourier transform of the above. We have applied this method to map the apodization which obtains the desired beam pattern into the apodization which maintains the same properties on the lateral field distribution. For example, applying this method on a 50-elements λ/2 spaced linear array with length D has resulted in apodization that is optimal at distances D or D/2 by precision better than 9%. This method is useful especially in optimization problems, having no explicit constraint on the main lobe width, such as minimizing the sidelobe levels or minimizing main lobe width constrained to a predetermined value of sidelobe level. However, as the results show, this technique provides acceptable results in other cases.     

Fourier变换光谱学退卷积技术的理论研究

介绍了Fourier变换光谱退卷积技术的原理,通过数学推导从理论上对退卷积光谱的特性进行了分析,分别讨论了退卷积技术的两个重要参量,即退卷积系数和切趾长度,对复原光谱的线宽和信噪比的影响,从而得到三个结论:1) 退卷积技术的分辨率增强能力在实际中由于受到噪音的限制而不能无限提高.2) 对于光谱中宽度不同的谱线,退卷积将导致它们之间的峰高比失真.3) 在选定退卷积系数和切趾长度以满足谱线形状和宽度的要求后,只有通过选择合适的切趾函数来满足信噪比的要求.研究还发现,退卷积过程相当于一个带通滤波器,其中高通滤波器是退卷积函数,低通滤波器是切趾函数,它们共同决定着退卷积技术的滤波特性.     

孔径透射率调制对外差探测的影响

信号光与本地光的夹角是影响探测器输出外差信号强度的主要因素。当夹角过大时,甚至不能检测到外差信号。通过分析提出,外差信号的振幅实际上是接收孔径透射率函数的傅里叶变换,以此为依据提出一种降低失配角对外差信号影响的方法,即在接收孔径处放置透射率分布满足一定函数形式的透过型元件,使其傅里叶频谱满足预定的要求,这种情况下两光束夹角增大时,探测器输出的外差信号强度能得到增强,从而降低了对探测系统瞄准精度的要求。     

Propagation properties of Gaussian beams through the anamorphic fractional Fourier transform system with an eccentric circular aperture

As known, it is important for the propagation of Gaussian beams in optics. In this paper, based on the expanding a hard-edge circular aperture function as a finite sum of complex Gaussian functions and the scalar Rayleigh-Sommerfeld diffraction formula, an approximation analytical solution for Gaussian beams propagating through the anamorphic fractional Fourier transform system with an eccentric circular aperture is performed. Then, the detailed numerical calculation for the two-dimensional Gaussian beams in the above-mentioned optical system is presented. The simulation also shows that different location and size of aperture result in the change of diffracted field, including location, intensity and width. All these characteristics help us understand Gaussian beams propagation better.     

数字全息图的非同步采样对再现像的影响

基于香农采样定理和傅里叶频谱分析,通过模拟数字全息光栅的实验,对非同步采样数字全息图的一些基本问题进行了分析。模拟实验结果表明：全息图透射率函数中的低频调制现象随非同步采样光栅空间频率的增大而变得更明显;全息图再现过程中的频谱泄漏使再现波前发生高频起伏,其影响大小取决于非同步采样的偏离程度,与光栅本身的空间频率无关。另由数值模拟实验表明,频谱泄漏对再现波前的影响可通过数字全息图加窗切趾方法来抑制,以提高再现像质量。     

基于强度传输方程的多重网格算法

提出一种新的切趾函数,用此切趾函数对过零单边干涉图加权,使具有相同光程差的两点光强与旋转因子的乘积之和为它们的平均值,减小了由于计算过程中零光程差点附近的数据被利用两次造成的误差.研究结果表明:与Mertz提出的切趾函数相比,本文提出的切趾函数对非对称性较严重的过零单边干涉图数据处理有更好的加权效果,能够有效减小光谱失真,同时计算效率得到了一定程度的提高,可广泛应用到傅里叶变换光谱仪中的过零单边干涉图处理中.     

傅里叶退卷积光谱噪音特性研究

通过数学推导给出了更为一般的计算傅里叶退卷积FSD（Fourier self-deconvolution）光谱信噪比变化率的公式.研究了在六种不同切趾函数情况下,当退卷积系数由小逐渐增大时,傅里叶退卷积光谱信噪比变化率随切趾长度的变化.研究结果表明,当傅里叶退卷积由欠退卷积过渡到完全退卷积再到过退卷积时,傅里叶退卷积光谱信噪比的衰减迅速加快.     

空间调制型干涉光谱成像仪数据处理方法

干涉型光谱成像技术是一种新型的光谱成像技术,近些年来发展迅速。干涉成像光谱仪获得的是间接数据干涉图,不能被用户直接使用,需要进行干涉数据反演处理,包括数据预处理(干涉图修正)、切趾、相位修正、傅里叶变换、光谱辐射定标等一系列复杂的处理,目前国内外尚未有文献对干涉数据处理技术进行全面的分析,文章基于作者单位对此技术多年的研究,针对空间调制型干涉光谱成像仪的数据处理方法,结合环境与灾害卫星超光谱成像仪的数据,提出了一套有效的数据反演方法和流程,获得了很好的数据反演结果。     

Application of spatially and temporally apodized non-confocal acoustic transmission microscopy to imaging of directly bonded wafers

Application of a line-shaped point spread function (PSF) to imaging of void defects in directly bonded wafers is considered. Two non-confocally adjusted spherical transducers are employed to implement an acoustic microscope operating in transmission with a time dependent point spread function, whose shape is optimized by both temporal apodization of the received signal and spatial apodization of the transducer aperture. Strong imaging artifacts resulting from the generation and detection of edge waves are eliminated in this way. It is shown by several examples that only a broadband system can be utilized in order to obtain a line-shaped PSF suitable for imaging.     

一种新的过零单边干涉图切趾加权函数

提出一种新的切趾函数,用此切趾函数对过零单边干涉图加权,使具有相同光程差的两点光强与旋转因子的乘积之和为它们的平均值,减小了由于计算过程中零光程差点附近的数据被利用两次造成的误差.研究结果表明:与Mertz提出的切趾函数相比,本文提出的切趾函数对非对称性较严重的过零单边干涉图数据处理有更好的加权效果,能够有效减小光谱失真,同时计算效率得到了一定程度的提高,可广泛应用到傅里叶变换光谱仪中的过零单边干涉图处理中.     

Fractional Fourier transform of apertured paraboloid refracting system

The limitation of paraxial condition of paraboloid refracting system in performing fractional Fourier transform acts like an aperture, which makes the system different from ideal systems. With aperture expanded as the sum of finite complex Gaussian terms, a more practical approximate analytical solution of fractional Fourier transform of Gaussian beam in an apertured paraboloid refracting system is obtained and also numerical investigation is presented. Complicated and practical fractional Fourier transform systems can be constructed by cascading several apertured paraboloid refracting systems which are the simplest and the most basic units for performing more precise transform.     

空间外差光谱仪干涉图数据处理

空间外差光谱技术是一种新型的超分辨光谱技术。介绍了空间外差光谱仪的基本原理,并针对其特点提出了干涉图数据处理的方法。首先通过一阶差分对干涉图进行去基线处理,然后使用三角函数作为切趾函数对干涉图进行切趾,并对傅里叶变换光谱进行相位校正,最后采用已知双线光源对空间外差光谱仪原理试验装置进行波长定标。文章以Na双线与Hg谱线进行波长定标,得到了波长定标曲线。通过以上的方法对空间外差光谱仪干涉图数据进行处理,能有效地提高干涉图反演光谱的精度。     

Propagation and transformation of Bessel beam through the fractional Fourier transform system with two hard-edged apertures

The propagation properties of Bessel beam is a meaningful research. In this paper, based on the expanding the hard-edged circular aperture as a finite sum of complex Gaussian functions and the scalar diffraction theory, an approximate analytical solution for Bessel beam propagating through a fractional Fourier transform system is derived in the cylindrical coordinates. Then, the detailed numerical calculation for Bessel beam is presented. The simulation also shows that the beam parameter and the order of fractional Fourier transform result in the change of field distribution, including location, intensity and width.     

水下声成像中旁瓣抑制方法及其实验研究

提出了一种近场条件下采用不等间隔阵并进行孔径变迹处理的水下声成像旁瓣抑制方法,并进行了理论和实验研究。考虑以球面波传播理论为基础的聚焦波束形成,首先通过阵元位置微调,设计了可实现低旁瓣的不等间隔阵,从单程波束响应上降低旁瓣;然后,将孔径变迹处理方法应用于水下声成像中,全部阵元用于接收,部分阵元用于发射,从双程波束响应上进一步降低旁瓣。通过水池实验对所提出的方法进行了验证。结果表明:采用不等间隔阵并进行孔径变迹处理可以更为有效地降低旁瓣,而主瓣仅有小量展宽,且该方法工程应用简便易行,在改善成像质量的同时降低了系统复杂度。      

A novel approach to the aperture windowing in medical imaging

A new technique is proposed to improve the lateral resolution in the conventional B-mode imaging systems, which enables a simple array aperture windowing in the transmitting mode. Amplitude shaping is performed without modifying the transmitting voltage of the array elements, but only varying the excitation pulse length from one element to another. This method presents some attractive practical advantages, and the reduction of the sidelobe energy is comparable to that attainable with a conventional aperture windowing. Parametric plots are given, which transform an amplitude apodization into a 'time apodization' for any type of transducer array.     

FTIR单边干涉图相位校正技术的研究与改进

基于傅里叶变换红外光谱仪干涉图的单边过零采样和非对称性,对相位校正技术进行研究和改进。针对Mertz乘积法对切趾函数的匹配性要求高,干涉图非对称切趾旁瓣抑制效果差、光谱分辨率低的缺点,综合Mertz法和Forman法的特点提出一种改进的相位校正方法。采用对称化方法将单边干涉图变换为双边干涉图、对称切趾、傅里叶变换重建功率谱,并采用对称化的双边干涉图傅里叶变换求取高分辨率的相位谱,提高相位校正的精度。通过仿真分析了非对称窗函数较对称窗函数有比较宽的主瓣宽度、高的旁瓣幅值,分辨率降低;实验验证该改进的相位校正方法功率谱误差小、计算量少,且光谱分辨率比较高,达到2cm-1。     

An efficient method for computing backscattering from Born objects of arbitrary shape

A method is presented for efficiently computing the propagating pressure field backscattered by an arbitrarily shaped, weakly scattering, three-dimensional object. This is accomplished by drawing upon a previously reported relationship between the boundary condition on a two-dimensional radiating aperture and the pressure propagating along an axis normal to the aperture, and the fundamental theorem of diffraction tomography, which relates the Fourier transform of an object function to its scattered pressure field. Together, these two results are used to derive an integral formula that expresses the pressure field backscattered from an object as a one-dimensional Fourier transform of its scattering amplitude. This formula is then utilized to compute the backscattered pressure field from a uniform fluid sphere in the first Born approximation; the results of which are compared to the rigorous partial wave expansion.     

基于ARTS的傅里叶红外高光谱计算模型研究及其影响因素分析

在基于红外高光谱辐射数据进行大气遥感方面的研究中,准确模拟红外高光谱数据是很重要的一步。分析了红外高光谱辐射仪的测量原理,建立了基于Atmospheric Radiation Transfer Simulator(ARTS）的考虑仪器干涉图截断与离散化处理过程的正向模型。在该正向模型中,首先采用高光谱辐射传输模式ARTS模拟得到离散化理想光谱,通过逆傅里叶变换将理想光谱转化为干涉图,对干涉图加窗截断处理,模拟仪器响应函数对干涉图的影响,最后采用傅里叶变换得到仪器测量光谱。在这一过程中,窗口函数的选择取决于仪器的干涉图截断方式。未经过切趾处理的仪器,其对应的窗口函数为矩形窗口;经过切趾函数处理,可以减少干涉图截断造成的能量泄露现象。逆傅里叶变换与傅里叶变换过程中必须满足Nyquist采样定律。基于已建立的正向模型,模拟了Atmospheric Emitted Radiance Interferometer (AERI)在Southern Great Plains (SGP)站点的108组晴空辐射数据,并与AERI的实测结果进行比较分析,结果发现理想光谱与AERI实测光谱在吸收线上差异较大,最大残差达到35 mW·sr-1·m-2·(cm-1)-1（简称RU）以上,增加干涉图截断过程后,模拟光谱与实测光谱的最大残差减小到10 RU以内。截断过程的增加对模拟光谱的精度有明显提高,尤其在吸收线上,模拟光谱明显被平滑,模拟精度显著提高。进一步分析六种常用窗口函数截断处理的结果与AERI实测数据的残差,结果发现,模拟过程中选择窗口函数为矩形窗口时,模拟光谱与AERI实测数据残差最小,基本可以约束在5 RU以内,确定了AERI的干涉图截断方式可以近似看作矩形截断。另外,在理想光谱转换为干涉图的过程中,理想光谱分辨率的选择决定了干涉图信息的采样率以及ARTS的计算效率,因此综合考虑模型计算精度和模型计算效率,确定最佳的理想光谱分辨率对于提高模型计算效能是非常必要的;基于此,本文模拟了不同理想光谱分辨率下的仪器测量光谱,对比分析了模拟光谱与AERI实测光谱的残差分布,并讨论了光谱分辨率对模型计算耗时的影响。结果表明,对于AERI,在对应的正向模型中设置理想光谱分辨率为0.241 1 cm-1时,可在保证模型准确度的前提下,最大化模型计算效率。     

Speckle reduction by a rotating aperture at the fourier transform plane

Statistical properties of the time-averaged speckle-reduced pattern at the image plane of a coherently illuminated uniform diffuse object are theoretically and experimentally studied. The diffuse object is assumed to be approximated by a deep random phase screen and zero-mean circular complex Gaussian statistics is also assumed to hold for the formation of speckles. The time-averaging process is performed by using a rotating aperture at the Fourier transform plane of the object. A theoretical study of the speckle reduction is conducted for a rotating Gaussian soft aperture at the Fourier transform plane. Expressions are analytically derived for the mean, autocorrelation function, power spectrum, and contrast of the time-averaged speckle pattern at the image plane. In particular, the contrast of the time-averaged speckle pattern is theoretically evaluated and its characteristics are discussed in detail. The theoretical results for the contrast are experimentally confirmed using a TV/film recording system. Excellent agreement between theoretical and experimental results is obtained.     

单边干涉图的数据处理方法研究

干涉成像光谱仪干涉图的采样方式一般有两种,即单边采样和双边采样,单边采样干涉图往往保留零光程差附近的部分“短双边”采样数据以利于数据处理.本文对空间调制干涉成像光谱仪不同干涉图采样方式下的光谱复原方法进行了研究,讨论了空间调制干涉成像光谱仪单边干涉图的切趾与相位修正,提出了更为合理和准确的方法.研究发现,合理设置短双边数据在减小仪器的原始数据量的同时,能够保证复原光谱的准确度.