定第二主点变焦光学系统

根据透镜组基点性质和透镜组可变焦原理 ,设计定第二主点变焦光学系统。该系统用于视力矫正 ,在变焦过程中 ,“眼镜片光心”相对于眼睛的位置保持不变 ,是一种新型的光学变焦系统。用它可对近视、远视、散光等非正视眼进行快捷、准确的验光。     

New aspects of critical sound attenuation in magnetic systems with spin-lattice relaxation

A general theory of critical sound propagation, including phonon-spin-energy coupling, is studied in anisotropic magnets above their transition temperature. The Kawasaki weak singularity in the ultrasonic attenuation is found as a nonasymptotic effect. A new nonasymptotic regime similar to the one in the binary mixture is also determined. The role of coupling constants and the bare relaxation times in establishing the dominance region of particular terms, is discussed. Received: 9 December 1997 / Accepted: 24 February 1998     

Point Interactions in One Dimension and Holonomic Quantum Fields

We introduce and study a family of quantum fields, associated to δ-interactions in one dimension. These fields are analogous to holonomic quantum fields of Sato et al. in Holonomic quantum fields I–V (Publ. RIMS, Kyoto University, 14: 223–267, 1978; 15: 201–278, 1979; 15: 577–629, 1979; 15: 871-972, 1979; 16: 531–584, 1979). Corresponding field operators belong to an infinite-dimensional representation of the group in the Fock space of ordinary harmonic oscillator. We compute form factors of such fields and their correlation functions, which are related to the determinants of Schroedinger operators with a finite number of point interactions. It is also shown that these determinants coincide with tau functions, obtained through the trivialization of the det^*-bundle over a Grassmannian associated to a family of Schroedinger operators.     

C6v对称TIR-PCF结构参数对基模零色散点的调节数值研究

用多极方法数值研究构成六重对称全内反射型光子晶体光纤各种结构参数对基模零色散点的调节.数值结果表明,在相对孔径较大时,包层空气孔柱层数不影响零色散点,在其它结构参数相同的条件下,空气孔直径越大,零色散点波长越短,而在其它结构参数相同的条件下,空气孔孔距越大,零色散点波长越长,当空气孔直径与空气孔孔距都很小时,零色散点出现在长波区域,当空气孔直径与空气孔孔距大到一定程度时,色散曲线在零色散线出现振荡特性,并出现多个零色散点,在包层空气柱层数一定的条件下,中央纤芯缺省空气孔层数对零色散点的调节范围大.     

双极晶体管负载瞬态辐照毁伤效应

利用有源传输线模型与漂移-扩散模型的耦合计算模型,对在瞬态X射线辐照下电缆末端典型N+-p-n-N+结构的双极晶体管负载的毁伤效应与规律进行研究,通过分析双极晶体管内部晶格温度分布,判定是否处于毁伤状态,总结双极晶体管烧毁时间和烧毁所需能量与脉冲X射线脉冲宽度和注量之间的关系。结果表明:随着脉冲X射线脉宽增加,双极晶体管烧毁能量变化较小,烧毁时间逐渐增加;随着注量增加,烧毁时间逐渐降低,在5.86J/cm2以下时,烧毁所需能量基本相同,之后呈指数逐渐增加,并通过曲线拟合得到损伤规律的经验公式。     

基于小波变换的高斯点扩展函数估计

点扩展函数估计是图像复原的重要内容,目前还没有精确估计的算法。根据小波理论,提出了新的高斯型点扩展函数精确估计算法。算法首先对模糊图像作平滑处理,抑止噪声;然后对图像进行不同尺度小波变换,并分别计算出变换后小波模极大值;再根据推导出的不同尺度下小波模极大值、李氏指数、方差三者之间的关系,准确计算出高斯点扩展函数的方差。实验结果表明,算法的估计精度高,达到了95%左右,具有重要的应用价值。     

基于数学形态学的弱点状运动目标的检测

提出了一种新的基于数学形态学的红外图像序列中弱点状运动目标的非参数检测算法。采用数学形态学抑制背景杂波干扰和增强目标,用沿时间轴投影和二维空域搜索代替复杂的时空三维搜索形成组合帧,然后在每条可能的轨迹上将进行目标能量累加,实现了一种快速检测前跟踪(TBD)检测算法。仿真实验表明:在恒虚警概率条件下,该检测算法能高效地检测信噪比约为2的弱点状运动目标,检测性能对噪声分布不敏感,能精确地得到目标的即时位置和速度信息,适合于实时图像处理和目标探测,具有很高的实用价值。     

三棱镜实验中入射点问题的讨论

利用几何光学原理和计算机进行模拟，对棱镜出射光线与入射点的关系进行了研究，并由MATLAB得到了入射点与棱镜顶角、材料折射率及棱镜底面边长关系的曲线图。实验结果表明，在测量三棱镜折射率及使用棱镜光谱仪时，对入射光线的入射点是有一定要求的。     

倒摆运动的混沌行为

设计一个受周期外力驱动的倒摆实验装置,并建立该系统的动力学方程,用线性稳定性分析方法讨论了平衡点附近邻域的稳定性,利用数值计算并结合多种分析方法求解非线性方程并判断解的性质．通过改变系统参数,画出时域图、相图及分岔图,计算分析和实验发现,这个简单的力学系统存在十分丰富的动力学行为（分岔、混沌）．理论分析、数值模拟和实验结果一致．     

Note on Generalized Quantum Gates and Quantum Operations

Recently, Gudder proved that the set of all generalized quantum gates coincides the set of all contractions in a finite-dimensional Hilbert space (S. Gudder, Int. J. Theor. Phys. 47:268–279, 2008). In this note, we proved that the set of all generalized quantum gates is a proper subset of the set of all contractions on an infinite dimensional separable Hilbert space ℋ. Meanwhile, we proved that the quantum operation deduced by an isometry is an extreme point of the set of all quantum operations on ℋ. This subject is supported by NSF of China (10571113).