Fabrication of Aspherics Using a Mathematical Model for Material Removal

Abstract

A mathematica model has been developed that predicts the aspheric surface that a typical optical surfacing machine will produce. The model, which combines two basic assumptions concerning material wear with the kinematics of the machine, has been verified experimentally for the grinding process. In regions of the surface where the tool extends beyond the edge of the workpiece, pressure becomes nonuniform, and the model must be altered. The established model has been used to synthesize those machine strokes required to produce a desired aspheric surface.

Coordinate transformation of an industrial robot and its application in deterministic optical polishing

“…Jones and Rupp [3][4][5][6][7][8][9][10] and some other researchers have reported some research works about it. The CCOS has been developed rapidly thanks to the development of the computer technology from the late 1980s.…”

Simulation of Manufacturing Processes

“…OC and CNC surface finishing machines have been used in the optical industry for more than twenty years. See for example [1][2][3][4][5][6][7][8][9][10][11]. More recently, this technology has also been applied to the restoration of aircraft canopy transparencies [12].…”

“…While some of the modeling principles and approximations underlying the control of surface finishing machines have appeared in the open literature ( [1][2][3], [5]. [7], [9], [11], [13]), a comprehensive mathematical approach to the overall problem did not exist in the public domain prior to 1990. This is not surprising in view of the complex physics and general geometrical considerations that influence surface finishing processes.…”

“…This issue has been addressed, for example, in [2], [11], [19][20][21]. With the cooperation of the Contraves Corporation we Distance In Inches Draper Machine Angular Independence of the Removal Rate PC= 36, A= 36, B= 36, R= 6, T= -6, Timein 18 min Pad radius= 2, Cam radiusas 8 Radial distance In Inches have obtained estimates of/tK* for various optics.…”

“…Consequently, the surface finishing problem reduces to the determination of the dwell timnes 6ti. Several 13 methods have been suggested to accomplish this, including a simple type of deconvolution [13], as well as L 1 and L 2 optimization [14], [11].…”