基于小波包变换和数学形态学结合的光谱去噪方法研究

对反射光谱数据进行去噪是提高光谱信息准确度的前提。传统时域平滑和频域去噪方法存在诸多缺点,本文首次将广义形态滤波方法用于可见近红外光谱的去噪处理,并提出基于小波包变换和数学形态学结合的光谱去噪方法。使用USGS光谱库中的植被光谱进行实验,采用信噪比(SNR)、均方误差根(RMSE)、波形相似度(NCC)和平滑度(SR)四个指标来评估去噪效果。结果表明,小波包最佳基阈值法和广义形态滤波法都能较好地保持波形和平滑度,广义形态滤波法能较好地消除幅值较大的随机噪声,但其对连续随机噪声中幅值较小的噪声成分不能有效消除; 而小波包最佳基阈值法不能有效消除幅值较大的噪声成分; 二者结合的方法组合了这两者的优点,使得幅值较大、较小的噪声成分都能较好地消除,同时还提高了相似度和平滑度指标,充分表明小波包最佳基阈值与广义形态滤波结合的方法是一种更好的可见光近红外光谱去噪方法。     

Weak Noether symmetry for a nonholonomic controllable mechanical system

This paper discusses the weak Noether symmetry for a nonholonomic controllable mechanical system of Chetaev type, and presents expressions of three kinds of conserved quantities obtained by using weak Noether symmetry. Finally, the application of these new results is illustrated by an example.     

弱A-调和张量的高阶可积性

首先,利用Riesz变换和内插理论的结果得到了非齐次A-调和方程d^＊A（x,g＋du）=d^＊h很弱解的一个先验估计.然后,利用这个先验估计得到了该方程很弱解的高阶可积性.     

Josephson effect through a ferromagnetic layer

We report transport measurements on Superconductor/Ferromagnet/Superconductor (S/F/S) junctions: Nb/Al/Gd/Al/Nb where gadolinium (Gd) is a weakly polarized ferromagnet. A sizeable critical current I _c is observed in the I(V) characteristics. This current can be modulated by a weak magnetic field, as expected for a Josephson current. With these experiments, we establish that superconducting coherent transport survives across a small ferromagnetic layer. The penetration depth of Cooper pairs in Gd has been measured. An extensive study of the Josephson critical current in temperature for different thicknesses of magnetic compounds is presented. A comparison of transport measurements with S/N/S junction is given through measurements made on Nb/Al/Y/Al/Nb, where yttrium (Y) is used as non magnetic rare earth metal. Received 20 September 2000 and Received in final form 22 February 2001     

Magnetic scattering effects on magnetoresistance in a quasi-two-dimensional disordered electron system

Magnetic-impurity-scattering effects in a quasi-2D disordered electron system have been investigated theoretically with the diagrammatic techniques in perturbation theory. The analytical expressions for magnetoconductivities due to weak-localization effects have been obtained as functions of elastic, inelastic and magnetic scattering times. The relevant dimensional crossover behavior from 3D to 2D with decreasing the interlayer coupling has been discussed, and the condition for the crossover has been obtained. Received 20 March 2001 and Received in final form 28 June 2001     

LIGO计划用大尺寸蓝宝石晶体光学均匀性和弱吸收获得进展

报道了113mm× 70mm蓝宝石晶体块的光学加工精度、光学均匀性和弱吸收等方面研究所取得的最新进展。晶体整个表面加工精度达到 3个光圈 (峰谷值约为 1 6 6 6λ) ;晶体的透过波前畸变为 1个光圈 (峰谷值约为0 5 84λ) ;在紫外波段的透过大于 80 % ,可见及红外光区的透过大于 86 % ;晶体的弱光吸收系数为 35× 10 - 6 cm～ 6 5× 10 - 6 cm。     

表面热透镜技术探测光学薄膜的微弱吸收

对表面热透镜技术测量光学薄膜的微弱吸收进行了理论分析,并以此建立了薄膜微弱吸收测量实验装置,对几种典型薄膜的吸收进行了测试,证实了这种方法的可行性。     

^209Fr的能级结构研究

利用能量为 90— 1 0 5MeV的16 O束流 ,通过197Au( 16 O ,4n)反应研究了2 0 9　Fr的高自旋态能级结构 .进行了γ射线的激发函数、γ γ延迟符合及γ射线的角分布测量 .首次建立了由 2 1条γ射线构成的2 0 9Fr的能级纲图 ,其中包括一个半寿命为 ( 52± 2 0 )ns的同质异能态 .基于2 0 9Fr与2 0 8Rn低位能级结构的相似性 ,用一个h9/ 2 价质子与2 0 8Rn激发态的弱耦合解释了2 0 9Fr的低位能级结构 .     

^143Pm高自旋态研究

通过熔合蒸发反应^129Te(^19F,4nγ）布居了^143Pm的高自旋态,利用在束γ谱学方法,对^143Pm的高自旋态核结构进行了研究,测量了γ射线单谱和γ－γ符合谱,并进行了γ射线各向异性以及DCO比率分析,建立了激发高能达10535．4keV的能级纲图,其中包括新发现的32条γ射线和17个新能级,用弱耦合模型对^143Pm的晕态能级结构进行了解释。     

用线性弱正算子逼近

用线性正算子的逼近理论飞速发展,但正性是一个较强的限制,孙永生,王仁宏等研究过减弱正性限制,作者研究用线性弱正算子逼近,推广Korovkin定理和Grundmann定理等等.