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Signal Recovery and Synthesis IV最新文献

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Using Phase Retrieval to Determine the Intensity and Phase of an Ultrashort Laser Pulse 用相位恢复法确定超短激光脉冲的强度和相位
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.pd1
R. Trebino, D. Kane
{"title":"Using Phase Retrieval to Determine the Intensity and Phase of an Ultrashort Laser Pulse","authors":"R. Trebino, D. Kane","doi":"10.1364/srs.1992.pd1","DOIUrl":"https://doi.org/10.1364/srs.1992.pd1","url":null,"abstract":"We have solved the long-standing problem of measuring the full electric\u0000 field, E(t), of a single ultrashort laser pulse by reducing it to a\u0000 two-dimensional phase-retrieval problem.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114686219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coherent Laser Radar and Array Imaging 相干激光雷达和阵列成像
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.tub4
Richard Anderson, J. Boger, D. Voelz
{"title":"Coherent Laser Radar and Array Imaging","authors":"Richard Anderson, J. Boger, D. Voelz","doi":"10.1364/srs.1992.tub4","DOIUrl":"https://doi.org/10.1364/srs.1992.tub4","url":null,"abstract":"In the research laboratory the imaging of a target on a detector array using heterodyne detection techniques1 was performed. The targets were both transmissive and reflective and good results were obtained for both types of targets. Figure 1 is a sketch of a typical experimental set up for a reflective target. A motorized precision rotatable mount held the target so motion was possible. The half waveplate in the local oscillator arm rotated this field's plane of polarization by 90° so only the field components in the plane of the page would interfere also the polarizer before the detector selected this state of polarization. Both the frequencies of the L0 and signal beams were shifted by acousto-optic modulators. A 64×64 element array of the camera was used to record the intensity pattern. The target was moved using a stepping motor so at each sampling interval the target was at rest and the data at each element of the camera was sampled 10 times so the intermediate frequency waveform was recovered. In a given sampling period at least 10 or more different samplings were taken. This number is small but was limited by the camera and electronics. The camera frame speed was slow which restricted the intermediate frequency of the heterodyne signal to be no higher than 10 Hz.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129122567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bispectral Analysis of the Wavelength Dependence of Laser Speckle: Application to Remote Sensing of Object Shape 激光散斑波长相关性的双光谱分析:在物体形状遥感中的应用
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.tub2
L. G. Shirley, P. A. Lo
{"title":"Bispectral Analysis of the Wavelength Dependence of Laser Speckle: Application to Remote Sensing of Object Shape","authors":"L. G. Shirley, P. A. Lo","doi":"10.1364/srs.1992.tub2","DOIUrl":"https://doi.org/10.1364/srs.1992.tub2","url":null,"abstract":"We present a bispectrum-based technique for analyzing the wavelength dependence of laser speckle intensity. This new technique retains phase information and yields high-resolution measurements of the scattering object’s range-resolved laser radar cross section.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127949984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Aspects of the Phase Problem for Periodic Images 周期图像相位问题的几个方面
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.tuc3
R. Millane
{"title":"Aspects of the Phase Problem for Periodic Images","authors":"R. Millane","doi":"10.1364/srs.1992.tuc3","DOIUrl":"https://doi.org/10.1364/srs.1992.tuc3","url":null,"abstract":"Phase problems for periodic images, such as occur in x-ray crystallography, do not generally have unique solutions. The effect of a priori information on constraining the solution to such problems is examined.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133729696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Resolving Power and Information Theory 分辨力与信息论
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.wc3
G. Viano, E. Scalas
{"title":"Resolving Power and Information Theory","authors":"G. Viano, E. Scalas","doi":"10.1364/srs.1992.wc3","DOIUrl":"https://doi.org/10.1364/srs.1992.wc3","url":null,"abstract":"In Fourier optics, imaging systems are viewed as linear systems characterized by their impulse response, also called “the point spread function”. If f is the complex amplitude transmission function characterizing an object uniformly iluminated by coherent light, then the image g formed by the system is given, in the one-dimensional case and for aberration-free systems of aperture Ω, by the following integral equation: where magnification factors are omitted and [−X, X] is the support of f. The Rayleigh resolution distance is given by R = 7π/Ω.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133263737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Superresolution in Confocal Scanning Microscopy: The Two-Dimensional Incoherent Case 共聚焦扫描显微镜的超分辨率:二维非相干情况
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.wb2
M. Bertero, P. Boccacci, R. Davies, J. Grochmalicki, E. Pike, J. Walker
{"title":"Superresolution in Confocal Scanning Microscopy: The Two-Dimensional Incoherent Case","authors":"M. Bertero, P. Boccacci, R. Davies, J. Grochmalicki, E. Pike, J. Walker","doi":"10.1364/srs.1992.wb2","DOIUrl":"https://doi.org/10.1364/srs.1992.wb2","url":null,"abstract":"In a series of recent papers [1-4] we have proposed an approach to achieving superresolution in confocal scanning microscopy based on a singular system approach to the inverse problem. In this approach the Fredholm equation of the first kind which describes the imaging system is solved by finding its singular-value spectrum and its \"object\" and \"image\" singular functions. These functions provide complete orthonormal basis sets for the description of object and image which have the desirable feature of minimum \"representational entropy\". The inversion is performed by finding the coefficients of the singular function expansion up to an index determined by the level of noise in the image and the singular value spectrum. We have recently described an all optical technique to perform these operations which involves designing an optical mask to place in the image plane of the system (apodisation in the pupil plane is not suitable for incoherent light imaging). The mask function for five terms in the series is shown in Fig 1 [3]. The transfer function for this mask is shown by the heavy line in Fig 3.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127683917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mediation of Ill-posedness in Multiparameter Inverse Scattering 多参数逆散射中的病态性调解
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.tub3
S. A. Johnson, D. Borup, J. Wiskin, M. Berggren
{"title":"Mediation of Ill-posedness in Multiparameter Inverse Scattering","authors":"S. A. Johnson, D. Borup, J. Wiskin, M. Berggren","doi":"10.1364/srs.1992.tub3","DOIUrl":"https://doi.org/10.1364/srs.1992.tub3","url":null,"abstract":"It is advantageous to formulate the Inverse Scattering problem as a nonlinear integro-differential equation. However, intrinsic to the nature of these inverse problems is their potential for ill-posedness. We review our experience in overcoming ill-posedness of inverse scattering problems and some of the theoretical and practical results we have achieved in our pursuit of numerically efficient and robust algorithms, i.e. fast algorithms that also mediate the ill-posed nature of some inverse problems. This is commensurate with the stated goal of the Center for Inverse Problems, Imaging, and Tomography, which is the development of imaging algorithms that produce quantitative maps of material parameters. The incident (electromagnetic or acoustic) energy is diffracting in the cases we study, so that standard Computed Tomographic (CT) algorithms are inadequate for the kind of resolution required for quantitative maps. The need to solve the wave equation exactly, dramatically increases the complexity of the inversion problem.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117020779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
X-ray Crystallography as a Bayesian Signal Reconstruction Problem 作为贝叶斯信号重构问题的x射线晶体学
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.tuc1
P. Doerschuk
{"title":"X-ray Crystallography as a Bayesian Signal Reconstruction Problem","authors":"P. Doerschuk","doi":"10.1364/srs.1992.tuc1","DOIUrl":"https://doi.org/10.1364/srs.1992.tuc1","url":null,"abstract":"A new Markov random field based algorithm is proposed for signal reconstruction from Fourier transform magnitude motivated by the data reduction calculations of x-ray crystallography. The purpose of an x-ray crystallography experiment is to determine the position in three dimensional space of each atom in a molecule. The measured data are the magnitudes squared of the Fourier transform of the electron density function of a crystal of the molecule of interest and possibly also of chemical derivatives. The data reduction calculations are a signal reconstruction problem for the three dimensional electron density. In the so-called “direct” methods of interest here, the reconstruction is based on a noisy measurement of the magnitude squared of the Fourier transform of the electron density of a single crystal, that is, no chemical derivatives of the molecule are studied.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116612454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Restoration of optical imagery with the expectation-maximization algorithm 基于期望最大化算法的光学图像恢复
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.wc1
D. Snyder, T. Schulz, Abed M. Hammoud
{"title":"Restoration of optical imagery with the expectation-maximization algorithm","authors":"D. Snyder, T. Schulz, Abed M. Hammoud","doi":"10.1364/srs.1992.wc1","DOIUrl":"https://doi.org/10.1364/srs.1992.wc1","url":null,"abstract":"The expectation-maximization algorithm, as formulated in 1977 by Dempster, Laird, and Rubin [1], is a numerical procedure for computing constrained maximum-likelihood estimates of unknown parameters that influence measured data. It’s use for image restoration from quantum-limited data was first suggested by Shepp and Vardi [2] in 1982 in the context of determining concentrations of radioactive substances within the human body; applications and extensions of this method for estimating radionuclide distributions have grown enormously in the intervening years, with contributions by numerous investigators.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124775087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parameter Estimation with Incomplete a Priori Information; Photoelectron Counts 不完全先验信息下的参数估计光电子计数
Signal Recovery and Synthesis IV Pub Date : 1900-01-01 DOI: 10.1364/srs.1992.wc4
L. Lading, T. Jørgensen
{"title":"Parameter Estimation with Incomplete a Priori Information; Photoelectron Counts","authors":"L. Lading, T. Jørgensen","doi":"10.1364/srs.1992.wc4","DOIUrl":"https://doi.org/10.1364/srs.1992.wc4","url":null,"abstract":"Photoelectron counting experiments are considered. The object of the measurement is to determine parameters defining the state of a physical system characterized by a set of parameters {αi} on the basis of an observed set of photoncount numbers {nj}. Two types of parameters are involved: those that are to be determined, {αi}p (primary), and those that have impact on the estimation but are otherwise of no interest to the object of the measurement, {αi}s (secondary). The problem can be analyzed by investigating the relations between the conditional probabilities, p({αi}p,{αi}s|{nj}) and p({αi}p|{nj};{αi}s).","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117183149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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