O n ( m n,n, m n,m) relative differe nce sets with $$\text {gcd}( m,n)=1$$gcd( m,n)=1

There has been much research on \((p^{a},p^{b},p^{a},p^{a-b})\) relative difference sets with p a prime, while there are only a few results on (mn, n, mn, m) relative difference sets with \(\text {gcd}(m,n)=1\). The non-existence results on (mn, n, mn, m) relative difference sets with \(\text {gcd}(m,n)=1\) have only been obtained for the following five cases: (1) \(m=p,\ n=q,\ p>q\); (2) \(m=pq,\ n=3,\ p,q>3\); (3) \(m=4,\ n=p\); (4) \(m=2\) and (5) \(n=p\), where p, q are distinct odd primes. For the existence results, there are only four constructions of semi-regular relative difference sets in groups of size not a prime power with the forbidden subgroup having size larger than 2. In this paper, we present some more non-existence results on (mn, n, mn, m) relative difference sets with \(\text {gcd}(m,n)=1\). In particular, our result is a generalization of the main result of Hiramine’s work (J Comb Theory Ser A 117(7):996–1003, 2010). Meanwhile, we give a construction of non-abelian (16q, q, 16q, 16) relative difference sets, where q is a prime power with \(q\equiv 1\pmod {4}\) and \(q>4.2\times 10^{8}\). This is the third known infinite classes of non-abelian semi-regular relative difference sets.     

Periodic solutions for a type of neutral system with variable parameters

In this paper, we firstly analyze some properties of the linear difference operator $[Ax](t)=x(t)-C(t)x(t-\tau),$ where $C(t)$ is a $n\times n$ matrix function, and then using Mawhin''s continuation theorem, a first-order neutral functional differential system is studied. Some new results on the existence and stability of periodic solutions are obtained. The results are related to the deviating arguments $\tau$ and $\mu$. Meanwhile, the approaches to estimate a $prior$ bounds of periodic solutions are different from the corresponding ones of the known literature.     

A new method for information retrieval in two-dimensional grating-based X-ray phase contrast imaging

Grating-based X-ray phase contrast imaging has been demonstrated to be an extremely powerful phase-sensitive imaging technique.By using two-dimensional(2D) gratings,the observable contrast is extended to two refraction directions.Recently,we have developed a novel reverse-projection(RP) method,which is capable of retrieving the object information efficiently with one-dimensional(1D) grating-based phase contrast imaging.In this contribution,we present its extension to the 2D grating-based X-ray phase contrast imaging,named the two-dimensional reverseprojection(2D-RP) method,for information retrieval.The method takes into account the nonlinear contributions of two refraction directions and allows the retrieval of the absorption,the horizontal and the vertical refraction images.The obtained information can be used for the reconstruction of the three-dimensional phase gradient field,and for an improved phase map retrieval and reconstruction.Numerical experiments are carried out,and the results confirm the validity of the 2D-RP method.     

基于高光谱分析的玉米叶片氮含量分层诊断研究

为了明确不同生育时期进行玉米氮素营养诊断的叶片层位,建立准确稳健的玉米氮素营养诊断模型,以达到合理追施氮肥,提高氮肥利用率的目的。试验采用单因素盆栽试验设计,以玉米（郑单958）为研究对象,应用高光谱技术,分析了不同氮营养水平下不同生育时期不同层位玉米叶片的氮含量分布和变化规律及光谱响应特征;并依据叶片氮含量与光谱反射率的相关关系,叶片氮含量与全波段(400～2 000 nm)任意两两波段组合构建的比值光谱指数(RSI)的回归关系,初步确定了不同生育时期进行氮素营养高光谱诊断的目标叶片,筛选出最优的比值光谱指数,建立了叶片氮素含量估算模型。结果表明：玉米叶片氮含量：上层>中层>下层;随着玉米的生长,在低氮条件下上层叶片氮含量呈先减少后增加（追肥）再减少趋势,在高氮条件下呈减少趋势,中下层叶片氮含量呈递减趋势。六叶期下层玉米叶片光谱反射率敏感范围较大,相关性较强;九叶期和灌浆期上层玉米叶片的光谱反射率敏感范围较广,相关性较强;开花吐丝期中层叶片的光谱反射率敏感范围较大,相关性较强。六叶期选取下层叶作为诊断目标叶,选取最佳比值光谱指数RSI(1 811, 1 842)建立线性估算模型,九叶期和灌浆期选取上层叶片作为诊断目标叶,选取的最佳比值光谱指数分别为RSI(720, 557),RSI(600, 511)建立线性估算模型,开花吐丝期选取中层叶片作为诊断目标叶,选取比值光谱指数RSI(688, 644)建立线性估算模型。研究结果可为快速准确地利用光谱技术进行玉米叶片氮素营养诊断提供理论依据。     

热处理对钙钛矿锰氧化物La_(0.95)Sr_(0.05)MnO_3离子价态和磁结构的影响

对于磁性氧化物的磁有序,传统的观点用超交换相互作用(SE)和双交换相互作用(DE)模型进行解释,其出发点都建立在全部氧离子是-2价的基础上.例如,对于LaMnO_3,认为其中的La和Mn都处于+3价,用SE模型解释相邻Mn~(3+)离子间的反铁磁序;当以二价的Sr离子替代一部分La离子后,认为等量的Mn~(3+)离子变为Mn~(4+)离子,用DE模型解释相邻Mn~(3+)和Mn~(4+)离子间的铁磁序.然而,事实上在氧化物中存在一部分负一价氧离子.Cohen[Nature 358 136]利用密度泛函理论计算了BaTiO_3的价电子态密度,结果得到只有Ba离子的化合价与传统观点相同,为+2价;而Ti和0分别为+2.89价和-1.63价,不是传统观点的+4价和-2价,但是与多年来关于氧化物电离度的研究[Rev.Mod.Phys.42 317]和X射线光电子谱(XPS)的研究结果相符合.本文经过不同热处理条件制备了名义成分为La_(0.95)Sr_(0.05)MnO_3的三个样品,通过对样品的XPS分析,发现样品中不存在Mn~(4+)离子,只存在Mn2+和Mn~(3+)离子,平均价态随热处理程序的增加而升高.尽管三个样品有相同的晶体结构,但磁矩明显不同.对于这样的性能,不能用SE和DE模型解释其磁结构.利用本课题组最近在研究尖晶石结构铁氧体磁有序过程中提出的O 2p巡游电子模型解释了这种现象,利用样品在10 K的磁矩估算出的Mn离子平均价态变化趋势与XPS分析结果一致.O 2p巡游电子模型的出发点建立在氧化物中存在一部分负一价氧离子的基础上,这是其与SE和DE模型的根本区别.     

PMMA光纤辐照特性研究

分析了聚合物光纤在辐照环境下的物理化学变化,实验研究了聚甲基丙烯酸甲脂（PMMA）光纤在不同剂量的γ射线辐照下的辐照损伤和恢复特性,测量了PMMA光纤在可见光波段的辐照光谱和恢复光谱以及在638 nm的辐照前后透过率及辐照损伤.测量结果表明,光纤的辐照损伤和恢复都有波长相关性,辐照剂量低于5 kGy,PMMA光纤在整个可见光波段的辐照损伤情况差别不大,辐照剂量超过5 kGy,PMMA光纤在400 nm~550 nm波段的辐照损伤比600 nm~800 nm的辐照损伤要严重.     

Electron acceleration in a tightly focused laser beam

Electron acceleration in a tightly focused ultra-intensity linear polarized laser beam is investigated numerically. It has been found that the acceleration is strong phase dependent and is periodic to the variety of the initial laser field phase. When optimal initial parameters are chosen, the electron can be accelerated effectively. The accelerated electrons are emitted in pulses of which the full width is less than the half period of the laser field.     

三种同轴双波纹周期慢波结构对比研究

利用Fourier级数展开法,给出了任意几何结构的表达式的求解方法.通过数值计算,对比分析了余弦、梯形和矩形波纹慢波结构(slow-wave structure,SWS)的色散特性.根据S参数理论,研究了这三种SWS纵向模式选择的特性,提出了在同轴慢波器件中加入同轴引出结构,可减少所需SWS周期数,不但使器件结构更为紧凑,还可避免纵模竞争从而提高器件效率、稳定产生微波频率.进一步通过KARAT 2.5维全电磁粒子模拟程序,探讨了分别采用三种SWS的相对论返波振荡器(backward-wave oscillator,BWO)的束-波作用的物理过程,设计了一种紧凑型、吉瓦级、同轴L波段BWO,分析了不同形状SWS的选取原则.在此基础上,开展了初步实验研究：在二极管电压为670 kV,电子束流为107 kA,引导磁场为075 T的条件下,输出微波峰值功率约为102 GW,微波波形半高宽为22 ns,功率转换效率约为142%,频率为161 GHz. 关键词： 同轴慢波结构 相对论返波振荡器 色散特性 高功率微波     

单相ABO3型多铁材料的磁电耦合及磁电性质研究

实验发现多铁性钙钛矿物质YMnO3和BiMnO3在接近磁有序相变温度时,其介电常数和正切损失会出现异常,这些现象说明在物质的磁性和介电性质之间存在耦合.通过对系统磁性和铁电性之间可能磁电耦合方式的分析,考虑在系统哈密顿量中加入与自旋关联和极化相关的耦合项,对铁电子系统应用软模理论,对磁性运用基于海森伯模型的量子平均场近似,研究了外磁场诱导的极化、介电的变化和外电场诱导的磁化的变化等,并将以上结果与实验进行了比较和分析,较为合理地解释了一些多铁钙钛矿物质中的磁电现象.     

Identification and control of nonlinear systems by a dissimilation particle swarm optimization-based Elman neural network

In this paper, we first present a learning algorithm for dynamic recurrent Elman neural networks based on a dissimilation particle swarm optimization. The proposed algorithm computes concurrently both the evolution of network structure, weights, initial inputs of the context units, and self-feedback coefficient of the modified Elman network. Thereafter, we introduce and discuss a novel control method based on the proposed algorithm. More specifically, a dynamic identifier is constructed to perform speed identification and a controller is designed to perform speed control for Ultrasonic Motors (USM). Numerical experiments show that the novel identifier and controller based on the proposed algorithm can both achieve higher convergence precision and speed than other state-of-the-art algorithms. In particular, our experiments show that the identifier can approximate the USM's nonlinear input–output mapping accurately. The effectiveness of the controller is verified using different kinds of speeds of constant, step, and sinusoidal types. Besides, a preliminary examination on a randomly perturbation also shows the robust characteristics of the two proposed models.