Ambiguities of the Seiberg-Witten Map in the Presence of Matter Field

The ambiguities of the Seiberg-Witten map for gauge field coupled with fermionic matter are discussed.We find that only part of the ambiguities can be absorbed by gauge transformation and/or field redefinition and thus are negligible.The existence of matter field makes some other part of the ambiguities difficult to be absorbed by gauge transformation of field regefinition.     

固体相干成像激光雷达实验

采用单块非平面环形激光器的本地振荡器、种子注入高重复频率Q开关Nd∶YAG激光器的功率振荡器、振镜扫描偏转和光学接收装置、控制和显示等部件构成固体相干成像激光雷达实验装置.利用该装置对目标进行了距离成像和速度测量实验.在图像分辨力为64×64时,获得了成像速度为8 fps的目标距离图像.速度测量平均误差为6%.     

Speckle Reduction of Kinoform Reconstruction Utilizing the 2π Ambiguity of Image Phase Differences

An iterative speckle reduction method is proposed to reduce the speckle noise in the reconstruction of kinoforms. Because a kinoform only has phase modulation, the phase freedom of the reconstructed image is usually utilized for spectrum smoothing. We consider the speckle noise as isolated zeros among the discrete reconstructed points. An isolated zero leads to a 2 circle of the image phase differences. Our proposed iterative speckle reduction method changes the image phase to avoid the 2 circles in the reconstructed points. Computer simulations are shown to demonstrate the effect of our method.     

Radar ambiguity function inLp frame

In modern radar techniques, pulse signal can be replaced by the chirps, which is taken to be signals inL _p space. Wigner’s function and ambiguity functions are constructed in anL _p frame and a partial generalization of the uncertainty principle is given by means of the notion of coherent dual.     

Oxidation leading to reduction: redox-induced electron transfer (RIET)

Complex electron transfer reactions have been characterized whereby in addition to electron transfer, subsequent electrochemical, chemical and even in some cases biological consequences occur. These include a secondary electron transfer that leads to a major rearrangement of the electronic structure, such that an initial oxidation leads to a reduction (or an initial reduction leads to an oxidation) for these valence ambiguous compounds. Mixed valency and valence-tautomeric behaviors can additionally result from these complex electron-transfer-induced reactions.     

Optical feedback in a Zeeman-birefringence HeNe laser and its application in ranging

The optical feedback characteristics in a Zeeman-birefringence HeNe laser have been studied systematically when the external cavity varies in a large range. The intensity variations of the two orthogonally polarized lights are observed during the laser cavity tuning in the dual frequency laser. When the external cavity length is an integral multiple of the laser cavity length, either polarized light's intensity modulation depth varies not obviously when the laser works in dual modes conditions or single mode condition. But when the external cavity length is far away from an integral multiple of the laser cavity length and the laser works in different dual modes conditions, polarized light's intensity modulation depth varies obviously. This characteristic can guide us to tune the laser to work in single mode condition to improve the sensitivity of the optical system when the system is used for a large displacement measurement. It can also be used for measuring the position of the target mirror. The theoretical analysis is in good agreement with experimental results.     

Infinite class of new sign ambiguities

In 1934, two kinds of multiplicative relations, the norm and the Davenport-Hasse relations, between Gauss sums, were known. In 1964, H. Hasse conjectured that the norm and the Davenport-Hasse relations were the only multiplicative relations connecting Gauss sums over Fp. However, in 1966, K. Yamamoto provided a simple counterexample disproving the conjecture. This counterexample was a new type of multiplicative relation, called a sign ambiguity, involving a ± sign not connected to elementary properties of Gauss sums. In this paper, we give an explicit product formula involving Gauss sums which generates an infinite class of new sign ambiguities, and we resolve the ambiguous sign by using Stickelberger?s theorem.     

GNSS网络实时动态模糊度解算病态性解决策略

针对GNSS网络实时动态(RTK)参考站间模糊度解算病态性问题,分析了病态性对模糊度浮点解影响,并基于无电离层组合解算模糊度基本模型,提出了改善模型病态性的两种策略。1参数选取策略:针对高仰角卫星,采用相对天顶对流层参数代替常规双天顶对流层参数设置,减少待估参数以改善病态性;2参数相关性优化策略:将GNSS卫星模糊度解算分为较易固定和较难固定两类,首先获取较易固定模糊度整数解,并反演天顶对流层延迟信息,再将该信息作为先验信息对较难固定模糊度解算模型进行约束,通过减小天顶对流层与模糊度相关性改善病态性。算例分析表明:两种策略在初始历元法方程病态性就明显优于常规模型,且只要通过少数十几个甚至几个历元就能够快速减弱法方程的病态性。该方法不需要考虑附加矩阵或参数的设置,易于实际工程应用。     

网络RTK参考站间模糊度动态解算中病态方程的一种解算方法

在网络RTK参考站间的模糊度估计中,若误差方程严重病态,将导致模糊度解与其准确值偏差较大或整周模糊度无法固定,因此提出了一种适于网络RTK模糊度动态解算的新方案：1）法方程病态性的判断;2）Tikhonov正则化解算病态方程;3）LAMBDA方法搜索固定整周模糊度。同时,深入研究了Tikhonov正则化矩阵的构造方法和正则化参数的选取准则。最后以实例验证了采用此方案解算病态方程是可行的,通过选取合适的正则化参数可以解得准确的整周模糊度;详细讨论了选择不同的正则化参数对模糊度解算结果的影响。     

基于伪距宽巷组合的GPS模糊度固定方法

中长基线模糊度快速解算是GPS网络差分技术的核心内容。根据网络差分模糊度固定只用于基线解算而不用于定位的特点,通过对常用GPS原始观测数据组合方式的分析,提出伪距宽相组合的数据处理方法,有效消除了电离层、对流层传播误差,形成抗差性强、大气误差自由的GPS组合观测值;在此基础上引入双差伪距宽相组合进行模糊度浮点解并建立法方程,应用高度角与大气误差的关系构造权阵,对常规LAMBDA算法进行了改进,形成一种适合GPS网络差分的中长基线模糊度解算方法。对三个参考站同步观测数据的实际测试结果表明：使用该方法网络模糊度解算时间小于300s,基线长超过60km,并满足闭合性原则。