Solution for Best Fitting Spherical Curvature Radius and Asphericity of Off-Axis Aspherics of Optical Aspheric Surface Component

2007 ◽  
pp. 499-503 ◽  
Author(s):  
Guo Jun Dong ◽  
Cheng Shun Han ◽  
Shen Dong
Keyword(s):  
Curvature Radius ◽  
Aspheric Surface ◽  
Surface Component ◽  
Best Fitting ◽  
Spherical Curvature

Solution for Best Fitting Spherical Curvature Radius and Asphericity of Off-Axis Aspherics of Optical Aspheric Surface Component

2007 ◽  
Vol 364-366 ◽  
pp. 499-503 ◽  
Author(s):  
Guo Jun Dong ◽  
Cheng Shun Han ◽  
Shen Dong
Keyword(s):  
Coordinate System ◽  
Axial Symmetry ◽  
Curvature Radius ◽  
Aspheric Surface ◽  
Coordinate Systems ◽  
Rectangular Coordinate System ◽  
Cylindrical Coordinate ◽  
Complex Models ◽  
Best Fitting ◽  
Spherical Curvature

This study aimed to establish the coordinate transformation between the off-axis aspherics coordinate system σ and the axial symmetry aspherics coordinate system σ by transforming coordinates and present the computation models of asphericity in rectangular coordinate system and cylindrical coordinate system respectively. The asphericity expressions in both coordinate systems were applicable to the comparative sphere calculation of Off-axis aspherics with different figures. We selected an Initiation sphere in view of technology, along with equations in a right coordinate system for certain caliber and structure. Then, by numerical computation, we selected the best fitting sphere and simplifed the complex models by choosing a right coordinate system. At last, the solution for asphericity and the best fitting sphere curvature radius of off-axis aspherics were introduced by examples.

A Method for Getting the Best Fitting Spheric Surface Parameters for Aspheric Surface Point Diffraction Measurement

2011 ◽  
Vol 40 (12) ◽  
pp. 1865-1869
Author(s):  
李均盛 LI Jun-sheng ◽  
范琦 FAN Qi ◽  
莫卫东 MO Wei-dong ◽  
杨百愚 YANG Bai-yu ◽  
冯明德 FENG Ming-de ◽  
...  
Keyword(s):  
Diffraction Measurement ◽  
Aspheric Surface ◽  
Surface Point ◽  
Surface Parameters ◽  
Best Fitting

High accuracy algorithm for calculating best fitting sphere of high-order aspheric surface

2011 ◽  
Vol 23 (12) ◽  
pp. 3188-3192
Author(s):  
刘海涛 Liu Haitao ◽  
曾志革 Zeng Zhige ◽  
万勇建 Wan Yongjian ◽  
伍凡 Wu Fan
Keyword(s):  
High Accuracy ◽  
High Order ◽  
Aspheric Surface ◽  
Best Fitting

The Control Algorithm of Ultrasonic-Magnetorheological Combined Finishing for Rotary Symmetrical Aspheric Surface

2010 ◽  
Vol 97-101 ◽  
pp. 2099-2102
Author(s):  
Fei Hu Zhang ◽  
Xing Bin Yu ◽  
Yong Zhang ◽  
Yong Yong Lin ◽  
Dian Rong Luan
Keyword(s):  
Computer Simulation ◽  
Dwell Time ◽  
Control Algorithm ◽  
Curvature Radius ◽  
Aspheric Surface ◽  
Ultraprecision Machining ◽  
Freeform Surfaces ◽  
Aspheric Surfaces ◽  
A New Technique ◽  
Derivation Process

Concave aspheric surface with small curvature radius is difficult to fabricate by most of existing technologies. Ultrasonic- magnetorheological combined finishing (UMC) is a new technique for the ultraprecision machining of aspheric surfaces, especially for the ultrasmooth surfaces machining of small-radiuses concave surfaces and freeform surfaces. According to the characteristics of rotary symmetrical aspheric surface, path algorithms for UMC finishing have been developed. Propose and compare two kinds of polishing dwell time algorithms, and the derivation process and computer simulation result of the algorithms was also presented. The experiments using the control algorithm have been conducted, and the efficiency of algorithm is proved by experimental results.

The Structure Design and Dynamic Characteristic Simulation Analysis of Electric Spindle Using the PC Grinder of Ceramic Ferrule

2012 ◽  
Vol 472-475 ◽  
pp. 2864-2867
Author(s):  
Run Qin He
Keyword(s):  
High Speed ◽  
Simulation Analysis ◽  
Structure Design ◽  
Precision Machining ◽  
Curvature Radius ◽  
Compact Structure ◽  
Rotating Speed ◽  
Spherical Curvature ◽  
Optical Fiber Connector ◽  
Core Part

The PC grinder of ceramic ferrule is the core part of the processing of Optical—fiber Connector. Through the processing equipment, in order to ensuring the product spherical curvature radius is SR14-18mm, eccentric ≤30 µm, surface roughness of less than 0.01 µm. In grinding process for high rotating speed and high precision machining, here used a motorized spindle technology. High speed spindle is widely applied in high speed grinder whit its advantages of light weight, high speed, compact structure, small inertia, good dynamic characteristics and so on.

A Magnetic Spectrometer for a Scanning Transmission Electron Microscope

1974 ◽  
Vol 32 ◽  
pp. 436-437
Author(s):  
A. Kosiara ◽  
J. W. Wiggins ◽  
M. Beer
Keyword(s):  
Scanning Transmission Electron Microscope ◽  
Magnetic Spectrometer ◽  
Fringe Field ◽  
Curvature Radius ◽  
Magnetic Pole ◽  
Quadrupole Field ◽  
Transmission Electron ◽  
Scanning Transmission ◽  
Under Construction ◽  
Image Position

A magnetic spectrometer to be attached to the Johns Hopkins S. T. E. M. is under construction. Its main purpose will be to investigate electron interactions with biological molecules in the energy range of 40 KeV to 100 KeV. The spectrometer is of the type described by Kerwin and by Crewe Its magnetic pole boundary is given by the equationwhere R is the electron curvature radius. In our case, R = 15 cm. The electron beam will be deflected by an angle of 90°. The distance between the electron source and the pole boundary will be 30 cm. A linear fringe field will be generated by a quadrupole field arrangement. This is accomplished by a grounded mirror plate and a 45° taper of the magnetic pole.

Preliminary Evaluation of a Weibull Function for Fitting Slow-Component Eye Velocity over the Time Course of Caloric-Induced Nystagmus

1989 ◽  
Vol 32 (3) ◽  
pp. 681-687 ◽  
Author(s):  
C. Formby ◽  
B. Albritton ◽  
I. M. Rivera
Keyword(s):  
Time Course ◽  
Slow Component ◽  
Weibull Function ◽  
Preliminary Evaluation ◽  
Mathematical Function ◽  
Before And After ◽  
Best Fitting ◽  
Eye Velocity ◽  
Fitting Parameters ◽  
Weibull Equation

We describe preliminary attempts to fit a mathematical function to the slow-component eye velocity (SCV) over the time course of caloric-induced nystagmus. Initially, we consider a Weibull equation with three parameters. These parameters are estimated by a least-squares procedure to fit digitized SCV data. We present examples of SCV data and fitted curves to show how adjustments in the parameters of the model affect the fitted curve. The best fitting parameters are presented for curves fit to 120 warm caloric responses. The fitting parameters and the efficacy of the fitted curves are compared before and after the SCV data were smoothed to reduce response variability. We also consider a more flexible four-parameter Weibull equation that, for 98% of the smoothed caloric responses, yields fits that describe the data more precisely than a line through the mean. Finally, we consider advantages and problems in fitting the Weibull function to caloric data.

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