Design considerations for a hybrid swing-arm profilometer to measure large aspheric optics.

This thesis presents issues regarding the design and implementation of a profilometer based on the swivelling motion of a pivot arm. The main advantage of such a method, over conventional profiling techniques, is that it can be easily adapted to measure a range of optics including both spherics and aspherics, convex and concave as well as a variety of optic diameters and radii of curvature. The initiative for the development of the new aspheric metrology technique comes from the need for fabrication and measurement of hundreds of aspheric segments to enable the future Extremely Large Telescopes (ELTs). A detailed investigation of currently available aspheric metrology techniques concluded with the proposal of a novel SAP with a hybrid opto-mechanical sensor as a way to tackle issues of ELT segment metrology that remain in doubt. The successful submission of the proposal to the Department of Trade and Industry resulted in the allocation of funding for the development of a functional full scale prototype. Initially a basic error model was constructed in order to forecast the error of a generic SAP and to estimate allowed sub-component tolerances. Subsequently a first, scaled- down model of an SAP was used as a test platform which guided the construction of a full-scale prototype. The prototype is capable of measuring optics up to 1 m in diameter with a minimum radius of curvature of 1.75 m for concave and 1.25 m for convex surfaces. The SAP performance was evaluated through the measurement of a 680 mm diameter optic and measurements of surface profiles with accuracy better than 20 nm were realised. The thesis describes in detail the design process followed from the conceptual idea to the implementation and evaluation of the instrument.

[1]  J. Wyant Use of an ac heterodyne lateral shear interferometer with real-time wavefront correction systems. , 1975, Applied optics.

[2]  Matthew R. Whiteley,et al.  Optimal atmospheric compensation for anisoplanatism in adaptive-optical systems , 1998 .

[3]  Zhenwu Lu,et al.  Using curved hologram to test large-aperture convex surface. , 2004, Optics express.

[4]  Peter Z. Takacs,et al.  Long Trace Profile Measurements On Cylindrical Aspheres , 1989, Optics & Photonics.

[5]  Thomas A. Sebring,et al.  Hobby-Eberly Telescope: a progress report , 1997, Other Conferences.

[6]  Jingchi Yu,et al.  Novel profilometer with dual digital length gauge for large aspheric measurements , 2000, International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT).

[7]  J E Decker,et al.  Uncertainty evaluation for the measurement of gauge blocks by optical interferometry , 1997 .

[8]  W. J. Bates A wavefront shearing interferometer , 1947 .

[9]  Barry N. Taylor,et al.  Guidelines for Evaluating and Expressing the Uncertainty of Nist Measurement Results , 2017 .

[10]  Sug-Whan Kim,et al.  Novel laser datum system for nanometric profilometry for large optical surfaces. , 2003, Optics express.

[11]  D. Fried Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures , 1966 .

[12]  William T. Estler,et al.  Large-Scale Metrology – An Update , 2002 .

[13]  Peter R. Gillingham Operational performance of the Keck 10-m telescope , 1997, Other Conferences.

[14]  Sanjay B. Joshi,et al.  Parametric error modeling and software error compensation for rapid prototyping , 2003 .

[15]  K. P. Birch,et al.  An Updated Edln Equation for the Refractive Index of Air , 1993 .

[16]  Andrew Yacoot,et al.  The use of x-ray interferometry to investigate the linearity of the NPL Differential Plane Mirror Optical Interferometer , 2000 .

[17]  G. N. Peggs,et al.  Design of a High-Accuracy CMM Based on Multi-Lateration Techniques , 2000 .

[18]  Allen H. Greenleaf Self-Calibrating Surface Measuring Machine , 1982, Astronomical Telescopes and Instrumentation.

[19]  J C Wyant,et al.  Testing aspherics using two-wavelength holography. , 1971, Applied optics.

[20]  David Cebon,et al.  Materials selection for precision instruments , 1994 .

[21]  F. Roddier,et al.  Wave-front reconstruction from defocused images and the testing of ground-based optical telescopes , 1993 .

[22]  J C Wyant,et al.  Using computer generated holograms to test aspheric wavefronts. , 1972, Applied optics.

[23]  David D. Walker,et al.  First aspheric form and texture results from a production machine embodying the precession process , 2001, Optics + Photonics.

[24]  J. Wyant,et al.  Multiple-wavelength phase-shifting interferometry. , 1985, Applied optics.

[25]  J. Schwider,et al.  Digital wave-front measuring interferometry: some systematic error sources. , 1983, Applied optics.

[26]  Gerald M. Smith Keck II status report , 1997, Other Conferences.

[27]  Kenneth S. Breuer,et al.  Pseudospectral Orbit Simulation of Nonideal Gas-Lubricated Journal Bearings for Microfabricated Turbomachines , 1999 .

[28]  James H. Burge Efficient testing of off-axis aspheres with test plates and computer-generated holograms , 1999, Optics + Photonics.

[29]  Nicholas Devaney Review of astronomical adaptive optics systems and plans , 2007, SPIE Optics + Optoelectronics.

[30]  S. C. Irick,et al.  Determining surface profile from sequential interference patterns from a long trace profiler , 1991 .

[31]  R. Hamid,et al.  The temperature stabilization and temperature measurement of a Kösters interferometer , 2005 .

[32]  J. Wyant,et al.  Contouring Aspheric Surfaces Using Two-wavelength Phase-shifting Interferometry , 1985 .

[33]  Clemens Elster,et al.  Reconstructing surface profiles from curvature measurements , 2002 .

[34]  Philippe Dierickx,et al.  OWL optical design, active optics, and error budget , 2000, Astronomical Telescopes and Instrumentation.

[35]  A H Greenaway,et al.  Simultaneous multiplane imaging with a distorted diffraction grating. , 1999, Applied optics.

[36]  Wolfgang Otto,et al.  Measuring large aspherics using a commercially available 3D-coordinate measuring machine , 2000, Astronomical Telescopes and Instrumentation.

[37]  Ingolf Weingaertner,et al.  Facility for the curvature-based measurement of the nanotopography of complex surfaces , 2000, SPIE Optics + Photonics.

[38]  R. Railton,et al.  Ventilator problems caused by humidity in the air supplied from simple compressors. , 1981, British journal of anaesthesia.

[39]  D. Malacara Optical Shop Testing , 1978 .