透镜公式

According to the relation spectrum resolution is inverse proportional to focal distance given a certain incident wavelength and phase number,and the theoretic formula is consistent with reported experimental result.

光谱分辨率是评价衍射微透镜分光特性的主要指标，根据标量衍射理论，给出了多台阶位相型菲涅尔透镜的设计公式，并利用球面波的传输理论推导了微透镜主焦距与光谱分辨率之间的函数关系，得出在入射波长和位相台阶数一定的情况下，光谱分辨率与中心焦距之间呈反比；理论推导的结果与已发表的实验结果一致。

Staring from Fresnel diffraction integral,we deduced the optical intensity distribution in the Fresnel zone of the diffraction field of the annular-aperture lens axicon.

从菲涅耳衍射积分公式出发，推导多色高斯光束被球差透镜衍射后光强分布的解析公式，进行数值模拟和物理分析。

The formula group for the design of multi-phase micro Fresnel lens according to scalar diffraction theory was given and the transmission theory of spherical wave were used to deduce the relation of focal distance of the micro lens with spectrum resolution. According to the relation spectrum resolution is inverse proportional to focal distance given a certain incident wavelength and phase number, and the theoretic formula is consistent with reported experimental result.

光谱分辨率是评价衍射微透镜分光特性的主要指标，根据标量衍射理论，给出了多台阶位相型菲涅尔透镜的设计公式，并利用球面波的传输理论推导了微透镜主焦距与光谱分辨率之间的函数关系，得出在入射波长和位相台阶数一定的情况下，光谱分辨率与中心焦距之间呈反比；理论推导的结果与已发表的实验结果一致。

In the paper, on the basis of aggregation of previous studies, the development of optical technology and development trends at home and abroad are introduced, the principle of Fresnel lens is summarized. In accordance with its principle, circle equidistant steps Fresnel lens design is described. And on this basis, based on Fresnel design, also based on a continuous upward spiral of the plane curve concept, incidence surface and the backlight is set up to greet Archimedes - Fresnel lens design formula and the Second parabolic type Fresnel lens design formula, and on this basis, the advantages and disadvantages of the three designs is discussed.

本文在充分了解非球面光学技术在国内外的发展状况和趋势的基础上，同时从菲涅尔透镜的光学原理出发，并根据它的工作原理推导了圆环等距菲涅尔透镜的设计步骤，并在此基础上依据菲涅尔的设计思想，同时依据平面曲线的连续又呈螺旋的构思，推导出了迎光面和背光面阿基米德型菲涅尔透镜的设计公式和二次抛物面型菲涅尔透镜的设计公式，并在此基础上讨论了这三种设计各自的优缺点。

Firstly,to abtain the parameters of coupling system,such as the focal length and the position of the lens,computing the Gaussian lens formula,then establishing the rectangular coordinate system and constructing equation and tracing the marginal ray to compute the parameter of the radius of the image beam waist.

首先使用高斯光束的透镜变换公式计算透镜的焦距及放置位置等耦合系统的参数，然后建立直角坐标系并利用耦合系统的参数构建方程，对边缘光线追迹，计算出像方束腰半径值。

Based on the traits of the aspherical lens, the sunlight was focused on a very small spot, and then it was transferred into a plastic fiber by an aspherical lens and a selfoc lens. A formula for calculating the optimal length of selfoc lens is presented. The optimal assembly of the aspherical lens and selfoc lens was implemented by the aid of this formula. Therefore, sunlight is coupled into a plastic fiber efficiently.

根据非球面透镜垂轴球差小的特点把太阳光会聚到很小的光点，再利用长度约为1/4节距的自聚焦透镜改变光线的数值孔径使其满足光纤的数值孔径，通过一个计算公式来计算最佳的自聚焦透镜长度，实现非球面透镜和自聚焦透镜的最佳组合，把太阳光以较高的耦合效率耦合进塑料光纤。

According to these formulas,the parameters of the lenticular lens for a 15-inch autostereoscopic display monitor was designed.

根据这些理论公式，为15英寸柱面透镜光栅自由立体显示器设计了柱面透镜光栅的参量，通过应用光学软件ASAP模拟该立体显示器的立体视区分布，得出该立体显示器能显示良好立体图像，从而验证了理论的正确性。

To enlarge the measurement range of a potential vision meter and improve its measurement accuracy for patients with high error of refraction, the imaging characteristics of its optical system were investigated. The visual magnification equation of the system was derived. The influence of the focal length variation of the collimating lens and the imaging lens on the magnification was analyzed respectively.

针对潜在视功能检测仪临床使用中量程有限和对高度屈光不正患者检测结果有一定误差的现象，研究了其光学系统成像特性，建立了系统对视力板成像的视觉放大率公式，分析了准直透镜、成像透镜焦距变化对视觉放大率的影响。

A novel method of measuring plus lens's focus is given, which is based on LCD, CCD, and digital image processing It is also a discussion on photoelectric method of automatically measuring parameters of an optic system In this method, a LCD is used as a reticle of the collimator, while the image on the accepting side is transformed into digital image and is sent into a computer The focus can finally be calculated out through digital image processing and analysis The method of measurement is introduce...

讨论了一种基于LCD、CCD和数字图像处理的正透镜焦距测量方法，是光电法自动化测量光学系统多个参数的一种有益的探讨。用液晶屏显示分划图形取代平行光管的分划板，用CCD在接收方采集数字图像并送入计算机，通过图像处理和分析得出被测透镜的焦距。运用叠加的方法提高图像的信噪比；结合重心法和平行线拟合方法求取平行线对的间距；应用高精度焦距标准透镜标定数字图像和实际像之间的比例关系。详细介绍了测量和图像处理的方法，进行了公式推导和误差分析，并给出了实验结果

In this paper we present the results of a theoretical study of the focusingproperties of a symmetrical two-cylinder lens with identical radii and negligibleseparation for relativistic electron beams.

本文提出相对论情况下双圆筒静电透镜的聚焦性质，得出在薄透镜近似下的解析公式，并给出计算实例及与数值积分计算相比较。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。