Analysis of retroreflector-introduced spectrum distortion in birefringent crystal-based interleaver filters

Spectrum distortion in a birefringent crystal-based interleaver filter introduced by the right-angle total internal reflection retroreflector is studied. The phase shift between two perpendicularly polarized components of the polarized light incident onto the retroreflector is calculated. The sensitivity of the phase shift to the incident angle for different materials from which the retroreflector is made is also considered. This study indicates that the phase shift is less sensitive to the incident angle for retroreflectors having a higher index of refraction, suggesting a fixed-phase compensator that can be used to cancel out the phase shift introduced by the retroreflector to recover the interleaver filter's spectrum. The fold-back 50 GHz channel spacing birefringent crystal interleaver filter is fabricated to demonstrate that the spectrum distortion due to the phase shift introduced by retroreflector can be eliminated by a phase compensator.     

猫眼动镜横移误差容限及次镜倾斜分析

介绍了猫眼动镜干涉光谱仪的基本原理和三种猫眼镜,分析了猫眼动镜的横向偏移对干涉图的影响,推导了横移所产生的最大附加光程差公式,从相位误差角度给出了猫眼动镜的横移误差容限公式并得到了在典型参量下的定量数据．分析了猫眼镜次镜倾斜对光程差的影响,导出了次镜倾斜所产生的最大附加光程差公式,并给出了在典型参量下最大附加光程差与次镜倾角之间的关系图．     

卫星角反射器有效衍射区域的研究

本文基于角反射器的几何结构模型,采用矢量形式的折反射定律,推导了在不同入射条件下有效衍射区域的数学表达式.通过数值模拟的方法分析了有效衍射区域的变化规律,以及该规律对远场衍射光强空间分布的影响.结果表明,随着光束入射角的增加,有效衍射区域逐渐减小,进而导致角反射器衍射强度发散程度增加.光束方位角的引入不会改变有效衍射区域的形状和衍射强度的总能量,而只会使其各自分布旋转方位角的大小.在不考虑大气效应的情况下,根据不同入射条件对应的衍射强度分布,并结合速差补偿理论,提出了一种全新的角反射器口径设计方法.     

Two-dimensional body of maximum mean resistance

A two-dimensional body, exhibiting a slight rotational movement, moves in a rarefied medium of particles which collide with it in a perfectly elastic way. In previously realized investigations by the first two authors, [Alexander Yu. Plakhov, Paulo D.F. Gouveia, Problems of maximal mean resistance on the plane, Nonlinearity, 20 (2007), 2271-2287], shapes of nonconvex bodies were sought which would maximize the braking force of the medium on their movement. Giving continuity to this study, new investigations have been undertaken which culminate in an outcome which represents a large qualitative advance relative to that which was achieved earlier. This result, now presented, consists of a two-dimensional shape which confers on the body a resistance which is very close to its theoretical supremum value. But its interest does not lie solely in the maximization of Newtonian resistance; on regarding its characteristics, other areas of application are seen to begin to appear which are thought to be capable of having great utility. The optimal shape which has been encountered resulted from numerical studies, thus it is the object of additional study of an analytical nature, where it proves some important properties which explain in great part its effectiveness.     

猫眼动镜横移误差容限及次镜倾斜分析

介绍了猫眼动镜干涉光谱仪的基本原理和三种猫眼镜,分析了猫眼动镜的横向偏移对干涉图的影响,推导了横移所产生的最大附加光程差公式,从相位误差角度给出了猫眼动镜的横移误差容限公式并得到了在典型参量下的定量数据.分析了猫眼镜次镜倾斜对光程差的影响,导出了次镜倾斜所产生的最大附加光程差公式,并给出了在典型参量下最大附加光程差与次镜倾角之间的关系图.