Existence of optimal controls for a class of systems governed by differential inclusions on a Banach space

Using Cesari's approach, we prove the existence of optimal controls for a class of systems governed by differential inclusions on a Banach space having the Radon-Nikodym property. Theorem 3.1 gives the existence result for optimal relaxed controls under fairly general assumptions on the system and the admissible controls. This result depends on a fundamental result (Theorem 2.1) that proves the existence of mild solutions of differential inclusions on a Banach space, which has also independent interest. Further, the preparatory results, such as Lemma 3.1 and Lemma 3.2, are also useful in the study of time-optimal and terminal control problems.For illustration of the results, we present two examples, one on distributed controls for a class of systems governed by nonlinear parabolic equations and the other on boundary controls with discontinuous boundary operator.This work is supported in part by the National Science and Engineering Council of Canada under Grant No. 7109.     

磷玻璃宽带调Q激光器

本文提出采用两片尖峰简并型共振反射器作为磷玻璃振荡器的耦合输出镜,利用其反射调制包络特性,实现了带宽100(?)的激光输出方案,并获得了成功,实验分析了宽带输出特性.     

Tunable All-Optical Microwave Filters Based on Fiber Loop and Chirped Fiber Bragg Gratings

All-optical microwave filters are important parts of fiber-optic microwave/millimeter wave processing systems. In this paper, two novel passive tunable all-optical microwave filters based on fiber loop and chirped fiber Bragg gratings (CFBGs) are demonstrated, where the frequency response of the both filters can be continuously tuned by adjusting the wavelength of the input light. The required free spectral range (FSR) of the filters can be obtained by carefully controlling the length of fiber loop and the positions of the CFBGs in the fiber loop. Experimental results prove the feasibility of the proposed filtering structures.     

Characteristics of a Grating-Folded Optical Directional Coupler

We developed a new optical add/drop multiplexer composed only of a grating-folded directional coupler. We found that in this multiplexer, the power drop becomes maximal when the grating-coupling strength is equal to that of directional coupling. At this maximum power, both power transfer between the waveguides and power reflection take place simultaneously at the grating. The power drop approaches 1 when the grating length increases.     

Design of a Resonant-Cavity-Enhanced p-i-n GaN/AlxGa1-xN Photodetector

A resonant-cavity-enhanced p-i-n photodetector has been designed and analyzed to operate at a wavelength of 360 nm based on the Al_xGa_1-xN material system. The novel approach has been adopted of using epitaxial AlN/Al_xGa_1-xN quarter-wave stacks as the distributed Bragg reflector that serves as the front mirror. An Al_xGa_1-xN absorptive filter layer is incorporated to suppress all but one resonant mode to ensure single, narrow-band operation. This device structure is projected to achieve wavelength selective, high speed, and high quantum efficiency operation in the ultraviolet. MOCVD-grown 6 1/2-pair AlN/Al_xGa_1-x     

High Temperature Sensitive Fiber Bragg Grating with Polymer Jacket

1IntreduCionFtherBragggratingsareattractingconsiderableinterestf0rtheirextensiveapp1icatboin0PticalteIecommunicatiOnandfibersensor8yStems['~'J.A1argetuningrange0fBraggwavelengthis0ftenrequlredinmanyaPplicati0nsintuningdevicesf0rlasers0rfilterselementSf0rWDMsyStems.Inthecase0ffibergratingtemperaturesensors,alargethermalsensitivityisalsodesired.Theorigina1temPeraturesensitivity0fthefibergratingSisonlyabout0.01nrn/tnear155Onmbecauseofthesmallthermo-oPticandthermalexPansi0ncoefficientoffus…     

带分布时滞中立型微分方程正解的存在性

主要运用Banach压缩映像原理,研究了分布时滞中立型微分方程ddty(t)+∫abP(t,θ)y(t-θ)dθ+∫cdQ(t,θ)y(t-θ)dθ=0正解的存在性问题,获得了正解存在的充分条件,推广了相关文献的结果.     

偶阶中立型分布时滞微分不等式的正解

证明了具有分布时滞的偶阶中立型泛函微分不等式不存在最终正解的新的充分条件,所得结果推广和改进了相关文献中的条件.     

Partial atomic multipoles for internally consistent microelectrostatic calculations

An extension of the extant microelectrostatic methodologies, based on the concept of distributed generalized polarizability matrix derived from the Coupled Perturbed Hartree–Fock (CPHF) equations, is proposed for self‐consistent calculation of charge carrier and charge‐transfer (CT) state electrostatic energies in molecular solids, including the doped, defected and disordered ones. The CPHF equations are solved only once and the generalized molecular polarizability they yield enables low cost iterations that mutually adjust the molecular electronic distributions and the local electric field in which the molecules are immersed. The approach offers a precise picture of molecular charge densities, accounting for atomic partial multipoles up to order 2, which allows one to reproduce the recently reported large charge‐quadrupole contributions to CT state energies in low‐symmetry local environments. It is particularly well suited for repetitive calculations for large clusters (up to 300,000 atoms), and may potentially be useful for describing electrostatic solvent effects. © 2017 Wiley Periodicals, Inc.     

消减舰船变形的影响和为全舰提供高精度姿态基准

引用国内外一些文献列举的现代舰船船体变形的数据，论证了消减船体变形的影响和为全舰提供精确的姿态基准的重要意义。对舰载航向姿态基准的功能、性能与特点进行了综述。介绍了基于激光陀螺和光纤Bragg光栅传感器测量船体变形的新方法。最后，探讨了分布式姿态基准系统的技术方案。