Data processing for point-based in situ metrology of freeform optical surface.

Freeform surfaces are widely used in advanced optical systems and the point-based metrology methods are often used for freeform surface measurement. In order to accurately process the measured data from point-based metrology system, the coordinate matching and surface fitting are essential. To ensure the matching efficiency and accuracy, we use a two-step coordinate matching method: pre-adjustment and accurate adjustment. We also develop an improved Newton iterative (INI) fitting algorithm to generate initial value and improve the fitting speed. The simulation and experiment verify the correctness and feasibility of the data processing.

[1]  Christof Pruss,et al.  Calibration of a non-null test interferometer for the measurement of aspheres and free-form surfaces. , 2014, Optics express.

[2]  Wenping Wang,et al.  Fast B-spline curve fitting by L-BFGS , 2011, Comput. Aided Geom. Des..

[3]  Stefan Sinzinger,et al.  Subaperture stitching for measurement of freeform wavefront. , 2015, Applied optics.

[4]  Stephan Stuerwald Error compensation in computer generated hologram-based form testing of aspheres. , 2014, Applied optics.

[5]  A. Gruen,et al.  Least squares 3D surface and curve matching , 2005 .

[6]  Fan Wu,et al.  Experimental study on measurement of aspheric surface shape with complementary annular subaperture interferometric method. , 2007, Optics express.

[7]  Shanyong Chen,et al.  Testing of large optical surfaces with subaperture stitching. , 2007, Applied optics.

[8]  Suet To,et al.  An integrated form characterization method for measuring ultra-precision freeform surfaces , 2007 .

[9]  Scott DeFisher,et al.  A non-contact surface measurement system for freeform and conformal optics , 2011, Defense + Commercial Sensing.

[10]  B Tatian Least-squares fitting of aspheric surfaces by a conicoid. , 1989, Applied optics.

[11]  M. Ares,et al.  Comparison of cubic B-spline and Zernike-fitting techniques in complex wavefront reconstruction. , 2006, Applied optics.

[12]  Ramona Eberhardt,et al.  Data handling and representation of freeform surfaces , 2011, Optical Systems Design.

[13]  Xiangchao Zhang,et al.  Template matching of freeform surfaces based on orthogonal distance fitting for precision metrology , 2010 .

[14]  Nouira Hichem,et al.  Comparison of tactile and chromatic confocal measurements of aspherical lenses for form metrology , 2014 .

[15]  Markus C. Knauer,et al.  Phase measuring deflectometry: a new approach to measure specular free-form surfaces , 2004, SPIE Photonics Europe.

[16]  Fan Wu,et al.  A novel phase measuring deflectometry for aspheric mirror test. , 2009, Optics express.

[17]  W. Osten,et al.  Interferometer for precise and flexible asphere testing. , 2008, Optics letters.

[18]  Zexin Feng,et al.  Freeform illumination lens design using composite ray mapping , 2015 .

[19]  David Hilbig,et al.  Fitting discrete aspherical surface sag data using orthonormal polynomials. , 2015, Optics express.

[20]  Adi Ben-Israel A Newton-Raphson method for the solution of systems of equations , 1966 .

[21]  Wolfgang Osten,et al.  The tilted-wave-interferometer: freeform surface reconstruction in a non-null setup , 2014, Other Conferences.