基于执行器误差补偿的不确定非线性MIMO系统控制

针对高超音速飞行器执行器饱和的问题,在考虑全维运动及系统不确定项的情况下,提出了一种基于执行器误差补偿的非线性反步自适应控制方法,该方法通过引入执行器误差动态补偿机制,使得当控制输入超出其自身幅值限制时,能够立刻恢复到其幅值限制范围内,且引入小波神经网络自适应律和鲁棒项确保闭环系统是最终一致有界稳定,通过仿真验证了所设计方法的有效性。     

Asymptotic behaviour and general properties of harmonic generation susceptibilities

We use the Kubo response function formalism to derive the asymptotic behaviour of the harmonic generation susceptibilities to all orders n. The results show a stringent correspondence with the ones previously obtained from the classical anharmonic oscillator model. They are characterized by a dependence and a coefficient proportional to the trace of the (n+1)th derivative of the potential energy on the equilibrium density matrix. Using the above results we derive new Kramers-Kr?nig relations and sum rules for all orders of harmonics susceptibilities. Received 17 April 2000     

操控非线性损耗实现稳定的高功率单频激光及可调谐激光的输出

通过操控线性和非线性损耗,使激光器满足单频运转的物理条件,获得了稳定高功率单频激光输出.利用非线性损耗取代了现有的标准具锁定技术,实现无调制锁定的宽带连续可调谐激光输出.     

Growth and characterization of L-phenylalanine nitric acid (LPN) and tris L-(phenylalanine)-phenylalanininum nitrate (TPLPN) as second and third order nonlinear optical materials

We synthesized noncentrosymmetric single crystals of L-phenylalanine nitrate (LPN) and tris L-(phenylalanine) L-phenylalaninium nitrate (TPLPN) by slow solvent evaporation technique. Both crystallized in monoclinic system with different acentric space groups namely P2₁ (LPN) and C2 (TPLPN) respectively. The IR and Raman spectral investigation was done for LPN and TPLPN and discussed. The UV-vis-studies accomplished the excitation wavelength of the grown crystals suitable to exhibit second harmonic generation signal. From the absorption data, remarkable optical properties such as direct band gap energy, Urbach energy, extinction coefficient were evaluated. The mechanical strength of the grown crystal was examined by Vickers micro hardness test. The temperature of decomposition was confirmed by TG/DSC analysis. Fluorescence emission spectrum of LPN and TPLPN were recorded and lifetime was also studied. The dielectric constant and dielectric loss of LPN and TPLPN has been determined as a function of frequency and temperature. Also the surface topologies of the crystallized salts were assessed by SEM studies. The third-order nonlinearities of LPN and TPLPN were determined by Z-scan technique with Nd: YAG at 532?nm and thereby from closed and open Z-scan data, third-order susceptibilities were calculated to be χ⁽³⁾?=?8.826?×?10^?6 esu for LPN and χ⁽³⁾?=?2.552?×?10^?7 esu for TPLPN.     

Propagation of arbitrary initial wave packets in a quantum parametric oscillator: Instability zones for higher order moments

We consider the dynamics of a particle in a parametric oscillator with a view to exploring any quantum feature of the initial wave packet that shows divergent (in time) behaviour for parameter values where the classical motion dynamics of the mean position is bounded. We use Ehrenfest's theorem to explore the dynamics of nth order moment which reduces exactly to a linear non autonomous differential equation of order $n+1$. It is found that while the width and skewness of the packet is unbounded exactly in the zones where the classical motion is unbounded, the kurtosis of an initially non-gaussian wave packet can become infinitely large in certain additional zones. This implies that the shape of the wave packet can change drastically with time in these zones.     

光学元件双转子抛光技术中类高斯型去除函数建模与逼近

在Preston假设基础上,研究并推导了光学元件抛光过程中"花瓣"型截面磨头在双转子运动形式下的去除函数.提出了"花瓣"型截面磨头的离散点弧长表达方法,并讨论了该方法的适用范围;基于离散点弧长法,推导了"花瓣"型截面磨头在双转子运动形式下的去除函数表达式;根据可调步长式曲线逼近原理研究了类高斯型目标去除函数的逼近算法;并得到了类余弦型去除函数的双转子抛光模参量.从而证明了双转子抛光技术可以得到类高斯型去除函数.     

On the modified discrete KP equation with self-consistent sources

The modified discrete KP equation is the Bäcklund transformation for the Hirota’s discrete KP equation or the Hirota-Miwa equation. We construct the modified discrete KP equation with self-consistent sources via source generation procedure and clarify the algebraic structure of the resulting coupled modified discrete KP system by presenting its discrete Gram-type determinant solutions. It is also shown that the commutativity between the source generation procedure and Bäcklund transformation is valid for the discrete KP equation. Finally, we demonstrate that the modified discrete KP equation with self-consistent sources yields the modified differential-difference KP equation with self-consistent sources through a continuum limit. The continuum limit of an explicit solution to the modified discrete KP equation with self-consistent sources also gives the explicit solution for the modified differential-difference KP equation with self-consistent sources.     

Bistable and oscillating chemical reactions

In the last decade the number and the diversity of isothermal oscillating reactions in homogeneous aqueous solution have tremendously increased. We present an updated classified review of these chemical reactions.

---

Résumé L'impossibilité d'isoler la nomenclature de la science et la science de la nomenclature tient à ce que toute science physique est nécessairement formée de trois choses: la série des faits qui constituent la science, les idées qui les rappellent, les mots qui les expriment. Le mot doit faire naître l'idée, l'idée doit peindre le fait; ce sont trois empreintes d'un même cachet; et comme ce sont les mots qui conservent les idées et qui les transmettent, il en résulte qu'on ne peut perfectionner le langage sans perfectionner la science, ni la science sans le langage, et que quelques certains que furent les faits, quelques justes que fussent les idées qu'ils auraient fait naître, ils ne transmettraient encore que des impressions fausses, si nous n'avions pas des expressions exactes pour les rendres.

     

有机分子系统非线性折射的类透镜效应

采用分子系统的多能级结构讨论了有机分子系统非线性折射率随光强变化的规律及其正负变化的条件,分析了由非线性折射产生的正透镜效应和负透镜效应的相互转化现象,并采用Z扫描理论加以验证.     

损耗对屏蔽光伏空间孤子演化特性的影响

研究了晶体损耗对屏蔽光伏空间孤子在加偏压的光伏光折变晶体中演化特性的影响.结果表明,损耗除了造成屏蔽光伏孤子光波振幅的减小外,还造成了孤子横截面的改变.对于明孤子,当入射波光强较低时,横截面随传播距离的增长而不断增大;而当入射波光强较高时,起初横截面不断压缩,而后再膨胀,并在某一传播距离上孤子横截面恢复到入射时的尺寸.对于暗孤子,不论入射光孤子光强的高低,横截面都随传播距离的增长而不断增大.虽然在传播距离足够短时,可以不考虑损耗的影响,但距离较大时,损耗将最终导致孤子崩溃. 关键词： 非线性光学 空间光孤子 光折变效应