Mode-Stabilized Operation in a Microlens-Integrated 980 nm Vertical-Cavity Surface-Emitting Laser

Microlens-integrated 980 nm vertical-cavity surface-emitting lasers (VCSELs) were fabricated and their mode-stabilized operations investigated. A stable single fundamental transverse mode operation in the microlens-integrated VCSEL was observed. Numerical modal calculations accurately explain the effects of the microlens on mode stabilization.     

二维消像差平面场型凹面光栅的设计与成像分析

给出了二维消像差平面场型凹面光栅的一般设计方法，推导了三点消像差光栅的成像条件，分析了平面场型光栅的成像质量与色散、分辨率及光栅宽度的关系。     

凹面光栅型波长解复用器的标量波动分析

利用标量波动衍射理论，通过对光栅槽面的数值积分，计算了罗兰圆型集成二维凹面光栅像点的光强分布。给出了光线追变法难以得到的光栅槽面沿光栅圆不同方位刻划所引起的成像点对于光栅方程计算位置的偏离；在对色散和分辩力的分析上，获得了与光线追迹法很好的一致性；分析了光栅的槽面波、光源的模场宽度以及因工艺产生的槽面圆角对光栅成像的影响；最后给出了光栅的波像差和光线像差的计算。     

Optical Dispersion Characteristics of Planar Microlenses

It is essential to know the wavelength dispersion of a planar microlens in order to suitably design optical systems which use such a component. For this purpose, the measurement of focal length over a wide range of the spectrum has been performed. It was clarified that the focal length varies by about 20% from blue (ƛ=0.442 μm) to near-infra red (ƛ=1.55μm) region. The maximum index difference between the lens center and substrate, an important parameter for the characterization of planar microlenses, has been estimated as a function of wavelength using the ray equation. The effect of angled incidence has been discussed.     

A parallel algorithm for constrained concave quadratic global minimization

The global minimization of large-scale concave quadratic problems over a bounded polyhedral set using a parallel branch and bound approach is considered. The objective function consists of both a concave part (nonlinear variables) and a strictly linear part, which are coupled by the linear constraints. These large-scale problems are characterized by having the number of linear variables much greater than the number of nonlinear variables. A linear underestimating function to the concave part of the objective is easily constructed and minimized over the feasible domain to get both upper and lower bounds on the global minimum function value. At each minor iteration of the algorithm, the feasible domain is divided into subregions and linear underestimating problems over each subregion are solved in parallel. Branch and bound techniques can then be used to eliminate parts of the feasible domain from consideration and improve the upper and lower bounds. It is shown that the algorithm guarantees that a solution is obtained to within any specified tolerance in a finite number of steps. Computational results are presented for problems with 25 and 50 nonlinear variables and up to 400 linear variables. These results were obtained on a four processor CRAY2 using both sequential and parallel implementations of the algorithm. The average parallel solution time was approximately 15 seconds for problems with 400 linear variables and a relative tolerance of 0.001. For a relative tolerance of 0.1, the average computation time appears to increase only linearly with the number of linear variables.     

The Minimum Concave Cost Network Flow Problem with fixed numbers of sources and nonlinear arc costs

We prove that the Minimum Concave Cost Network Flow Problem with fixed numbers of sources and nonlinear arc costs can be solved by an algorithm requiring a number of elementary operations and a number of evaluations of the nonlinear cost functions which are both bounded by polynomials inr, n, m, wherer is the number of nodes,n is the number of arcs andm the number of sinks in the network.On leave from Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi, Vietnam.     

平面微透镜的表面凸起现象分析

介绍了用离子交换法制得的平面微透镜的表面凸起现象,建立了分析这一现象的理论模型并给出了计算凸起程度的公式。平面微透镜的表面凸起有利于提高数值孔径和缩短交换时间,我们将它引入了平面微透镜阵列的设计和制作中并获得了良好的结果。     

Some Classes of Life Distributions Characterized by Concave Ordering

1.IntroductionandDefintionsInreliabilitytheory,maintenancetheory,biometricsandeconometrics,variousclassesoflifedistributionsbasedondifferentconceptsofagingareveryuseful.Recently,anumberofclassesoflifedistributionshavebeenintroducedbymeansofdifferentapproachestocharacterizingagingproperty.Oneoftheseapproachesisbasedonthefactthatmanyclassesoflifedistributionmaybecharacterizedbyvariousstochasticorderings,see,e.g.[if.[2],[3]and[4],etc.LetFbethedistributionfunctionofanon-negativerandomvariableXre…     

Smooth representation of a parametric polyhedral convex set with application to sensitivity in optimization

We show in this paper that if a polyhedral convex set is defined by a parametric linear system with smooth entries, then it possesses local smooth representation almost everywhere. This result is then applied to study the differentiability of the solutions and the marginal functions of several classes of parametric optimization problems.

     

A Microoptic Network Unit Using Planar Microlens Array

We propose a new concept for an optical network unit using planar microlens array for fiber to the home networks. It is expected from this modeling that an optical coupling loss of 2.5 dB, a polarization dependent loss of 0.5 dB and an extinction ratio larger than 50 dB can be achieved. The structure design and its fabrication method are discussed.