基于强度传输方程的相位检索

为了从直接测量的强度图像中计算出相位信息,研究了基于强度传输方程的相位检索技术.设计了一个实用的相位检索系统,包含经典傅里叶相位检索和基于整体变分的相位检索算法.通过测量聚焦平面和前后散焦平面光波场的空间强度,求解二阶微分方程得到相位.与迭代相位检索技术相比克服了其迭代不确定性、收敛速度慢等缺点.实验表明,利用强度传输...     

傅里叶自解卷积-红外光谱分析法应用于中药天麻的鉴别研究

采用水平衰减全反射-傅里叶变换红外光谱法(HATR-FTIR)对不同产地的野生及种植天麻与伪品芭蕉芋、芋及马铃薯进行了测定,并通过傅里叶自解卷积(FSD)进行了转换。在各种带宽因子及增强因子下对真伪品傅里叶自解卷积红外光谱的差异程度进行了分析研究,结果发现带宽因子在75.0～76.0,增强因子为3.2时,天麻与伪品的FSD-IR的差异程度最为明显。结果表明,尽管从FTIR中很难发现野生及种植天麻、无性繁殖及有性繁殖天麻之间的差异,但从FSD-IR中可以看出他们之间的差异。而天麻正品与伪品之间的FSD-IR差别也较大。因此该法可简便、快速、准确地识别不同的天麻及其伪品。     

非线性元件频率响应

用示波器观测4种二极管对交流信号的响应.为了理解响应图形的含义,对响应信号做了Fourier变换,使学生认识到非线性元件对输入信号能产生高次谐波,即产生倍频和多倍频.在非线性伏安特性测量实验中增加了上述内容,激发了学生的学习兴趣.     

Spectrum measurement in the fractional Fourier domain

Fractional Fourier transform (FRFT) plays an important role in many fields of optics and signal processing. This paper considers the problem of real-time measurement of the spectrum of a signal in the FRFT domain. In this paper, we propose two approaches for real-time measurement of the FRFT of a signal based on modulation and bandpass filtering systems. The relation is established between the linear frequency modulation (LFM or chirp) spectrum and the FRFT of its envelope. In addition, two applications for spectrum measurement are presented in the FRFT domain. The LFM signal can be bandlimited in the Fourier transform (FT) domain through spectrum measurement associated with bandpass filtering method. The results can also be useful in the problems related to swept-frequency filter for measurement in the FRFT domain.     

光纤法布里-珀罗传感器串连复用的傅里叶变换解调方法初探

光纤法布里—珀罗传感器复用、特别是串连复用的解调十分困难。为解决这个问题,从光纤法布里—珀罗应变传感器的基本原理出发、在仅有两只传感器复用的基本条件下,深人分析了复用系统组合输出光强信号及其分布特性;研究了对其进行傅里叶变换的解调原理及具体实现方法,分析了因复用信号不满足傅里叶变换条件而在变换域产生的畸变,进行了计算机仿真解调。在此基础上,搭建了两只传感器的串连复用实验系统,并用此方法实现了两只复用传感器的解调,且传感器之间的相互影响小于5％。理论与实验表明,虽然传感器的复用信号不满足傅里叶变换的标准条件,且仿真与实验存在一定差异,但所提出的傅里叶变换方法,基本可用于光纤法布里—珀罗传感器的串连复用解调。     

On a Theorem of Høegh-Krohn

A theorem proved by R. Høegh-Krohn in Comm. Math. Phys. 38(1974), 195–224, which yields a possibility to define states of systems of quantum particles by their values on the products , where \mathfraka _t , t are time automorphisms and F _j are multiplication operators, is generalized and extended. In particular, it is shown that the algebras generated by such products with F _j taken from the families of multiplication operators satisfying certain conditions are dense in the algebras of observables in the -weak topology, in which normal states are continuous. This result was obtained for the systems with two types of kinetic energy: the usual one expressed by means of the Laplacian; the relativistic kinetic energy defined by a pseudo-differential operator.     

High sensitivity CW-cavity ring down spectroscopy of CO2 near 1.35 μm (II): New observations and line intensities modeling

In a previous contribution [Kassi S, Song KF, Campargue A. High sensitivity CW-cavity ring down spectroscopy of ¹²CO₂ near 1.35 μm (I): line positions. JQSRT 110 (2009) 1801-1814], the line positions analysis of the high sensitivity absorption spectrum of carbon dioxide has been reported in the 7123-7793 cm⁻¹ region. In this second contribution, the spectral region investigated by CW-cavity ring down spectroscopy has been extended up to 7917 cm⁻¹. It added about 400 lines to our previous list of about 2500 transitions. These additional lines include transitions belonging to six newly observed ¹²C¹⁶O₂ bands for which we provide the spectroscopic parameters. Over the whole 7123-7917 cm⁻¹ region, the accurate intensities of about 2900 lines belonging to four isotopologues (¹²C¹⁶O₂, ¹³C¹⁶O₂, ¹⁶O¹²C¹⁸O and ¹⁶O¹²C¹⁷O) were retrieved with an average accuracy of 3%. Intensity values range between 1.2×10⁻²⁹ and 4.1×10⁻²⁵ cm/mol. Compared to the present version of the carbon dioxide spectroscopic databank recently adopted for the HITRAN database, important deviations were evidenced for some weak bands of the main isotopologue. The CW-CRDS intensity data relative to a total of 46 ¹²C¹⁶O₂ bands together with selected intensity information available in the literature for nine bands have been fitted simultaneously using the effective operators approach. The ΔP=11 set of the ¹²C¹⁶O₂ effective dipole moment parameters has been refined leading to a much better agreement with the measured intensity values. In addition, the ΔP=10 effective dipole moment parameters of the ¹⁶O¹²C¹⁸O minor isotopologue were determined for the first time. The obtained results will help to improve the carbon dioxide spectroscopic databank (CDSD).     

John Bell and the Identical Twins

I present a biographical profile of John S. Bell based upon extensive interviews I had with him. I present Bell‘s views on the quantum theory along with a simple explanation of his identity. Jeremy Bernstein is Professor Emeritus of Physics at the Stevens Institute of Technology and a former staff writer for The New Yorker.     

Effects of third-order dispersion on soliton switching in fiber nonlinear directional couplers

The split-step Fourier method is used to study the energy switching characteristics of fiber nonlinear directional couplers with the third-order dispersion. The effects of the third-order dispersion increases with the third-order dispersion coefficient and input power and result in pulse shift and energy decreases. Adding high-order nonlinear can partly overcomes these effects.     

法布里-珀罗气辉干涉成像仪的大气温度测量原理

讨论了法布里-珀罗干涉成像仪（FPI）对夜气辉的系统响应,更为明确地描述了建立该干涉系统数学模型的方法和结果。在此基础上阐述了利用FPI对热层大气温度进行测量的原理,并且通过分析稳频He-Ne激光器的干涉图对系统的传输函数进行了求解,对不同波长下系统传输函数的转换进行了讨论。干涉图的分析结果表明：该解析模型以及波长转换方法能够很好地表示干涉成像系统。另外对系统传输函数在实际气辉测量中的应用、系统的温度漂移以及误差估计也进行了简要讨论。